Speech synthesis method and apparatus

Abstract: In a speech synthesis method and apparatus, a speech having an excellent property is synthesized while reducing the amount of calculation for generating the synthesized speech. In addition, by allowing the user to operate parameters in the frequency region, the tone of the synthesized speech can be changed by processing which is easy to understand for the user and which is simple for the apparatus. For that purpose, the apparatus includes a character-series input unit (1) for inputting a character series, serving as a phonetic text, a parameter generation unit (3) for generating power spectrum envelopes from the character series as parameters, and a waveform generation unit (9) for generating pitch waveforms from the pitch of the speech and the parameters. The pitch waveforms are generated by performing matrix calculation as shown in FIG. 6.

Description: This invention relates to a speech synthesis method and apparatus according a rule-based synthesis approach. More particularly, the invention relates to a speech synthesis method and apparatus for outputting synthesized speech having excellent tone quality while reducing the number of calculations for generating pitch waveforms of the synthesized speech. In conventional rule-based speech synthesis apparatuses, synthesized speech is generated, for example, by a synthesis filter method (PARCOR (partial autocorrelation), LSP (line spectrum pair) or MLSA (mel log spectrum approximation), a waveform coding method, or an impulse-response-waveform overlapping method. However, the above-described conventional methods have the following problems. That is, in the synthesis filter method, a large amount of calculations is required for generating a speech waveform. In the waveform coding method, complicated waveform coding processing is required for performing adjustment to the pitch of synthesized speech, whereby the tone quality of the synthesized speech is degraded. In the impulse-response-waveform overlapping method, the tone quality is degraded at portions where waveforms overlap each other. In the above-described conventional methods, it is difficult to perform processing for generating a speech waveform having a pitch period which is not an integer multiple of a sampling period, so that synthesized speech having an exact pitch cannot be obtained. In the above-described conventional methods, parameters cannot be operated in the frequency domain, so that the operator must perform an operation which is difficult to understand for the sense of the operator. The frequency domain is the domain in which a spectrum of a waveform is defined. Parameters in the above-described conventional methods are not defined in the frequency domain. So, an operation of changing values of the parameters cannot be performed there. In order to change a tone of speech sound, the operation of changing a spectrum of a speech waveform is easy to understand sensuously. Compared with it, the operation of changing values of parameters in the above-described conventional methods is difficult for the operator to understand. In the above-described conventional methods, increasing and decreasing of the sampling frequency and low-pass filter processing must be performed, thereby causing complicated processing and a large number of calculations. In the above-described conventional methods, in order to change the tone of synthesized speech, speech parameters must be changed, thereby causing very complicated processing. In the above-described conventional methods, all waveforms of synthesized speech must be generated by one of the synthesis filter method, the waveform coding method and the impulse-response-waveform overlapping method, thereby requiring a large number of calculations. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 76a (1993) November, No. 11, pages 1949 to 1955 "High Quality Synthetic Speech Generation Using Synchronized Oscillators" by K. Hashimoto et al discloses a speech synthesis apparatus in which a speech waveform is formed from power spectrum envelopes. The speech waves are synthesized by superimposing sinusoidal waves generated by synchronized oscillators. Each oscillator is defined by a non-linear differential equation. The present invention has been made in consideration of the above-described problems. According to the present invention, there are provided an apparatus as set out in claim 1, a method as set out in claim 7, and a data carrier as set out in claim 13. It is an object of the present invention to provide a speech synthesis method and apparatus which may prevent degradation in the tone quality of synthesized speech, and reduces the number of calculations required for generating a speech waveform. It is another object of the present invention to provide a speech synthesis method and apparatus for obtaining synthesized speech having an exact pitch. It is still another object of the present invention to provide a speech synthesis method and apparatus for reducing the number of calculations required for conversion of a sampling frequency of synthesized speech. According to one aspect, the present invention which achieves at least one of these objectives relates to a speech synthesis apparatus for synthesizing speech from a character series comprising a text and pitch information input into the apparatus. The apparatus comprises parameter generation means for generating power spectrum envelopes as parameters of a speech waveform to be synthesized representing the input text in accordance with the input character series. The apparatus also comprises pitch waveform generation means for generating pitch waveforms whose period equals the pitch period specified by the input pitch information. The pitch waveform generation means generates the pitch waveforms from the input pitch information and the power spectrum envelopes generated as the parameters of the speech waveform by the parameter generation means. The apparatus further comprises speech waveform output means for outputting the speech waveform obtained by connecting the generated pitch waveforms. The pitch waveform generation means can comprise matrix derivation means for deriving a matrix for converting the power spectrum envelopes into the pitch waveforms. In this embodiment, the pitch waveform generation means generates the pitch waveforms by obtaining a product of the derived matrix and the power spectrum envelopes. The text can comprise a phonetic text. Moreover, the apparatus is adapted to receive speech information comprising the character series, the character series comprising the phonetic text represented by the speech waveform and control data. The control data includes pitch information and specifies characteristics of the speech waveform. The apparatus further comprises means for identifying when the phonetic text and the control data are input as the speech information. In addition, the parameter generation means generates the parameters in accordance with the speech information identified by the identification means. The apparatus can further comprise a speaker for outputting a speech waveform output from the speech waveform output means as synthesized speech. In addition, the apparatus further comprises a keyboard for inputting the character series. According to another aspect, the present invention which achieves at least one of these objectives relates to a speech synthesis apparatus for synthesizing speech from a character series comprising a text and pitch information input into the apparatus. The apparatus comprises parameter generation means, pitch waveform generation means and speech waveform output means. The parameter generation means generates power spectrum envelopes as parameters of a speech waveform to be synthesized representing the input text in accordance with the input character series. The pitch waveform generation means generates pitch waveforms from a sum of products of the parameters a cosine series, whose coefficients relate to the input pitch information and sampled values of the power sepctrum envelopes generated as the parameters. The speech waveform output means outputs the speech waveform obtained by connecting the generated pitch waveforms. The pitch waveform generation means generates pitch waveforms whose period equals the pitch period of the speech waveform output by the speech waveform output means. In addition, the pitch waveform generation means calculates the sum of the products while shifting the phase of the cosine series by half a period. The pitch waveform generation means in this embodiment can further comprise matrix derivation means for deriving a matrix for each pitch by computing a sum of products of cosine functions, whose coefficients comprise impulse-response waveforms obtained from logarithmic power spectrum envelopes of the speech to be synthesized, and cosine functions, whose coefficients comprise sampled values of the power spectrum envelopes. The pitch waveform generation means generates the pitch waveforms by obtaining the product of the derived matrix and the impulse-response waveforms. According to another aspect, the present invention which achieves at least one of these objectives relates to a speech synthesis method for synthesizing speech from a character series comprising a text and pitch information. The method comprises the step of generating power spectrum envelopes as parameters of a speech waveform to be synthesized representing the text in accordance with the character series. The method further comprises the step of generating pitch waveforms, whose period equals the pitch period specified by the pitch information, from the input pitch information and the power spectrum envelopes generated as the parameters in the power spectrum envelope generating step. The method further comprises the step of connecting the generated pitch waveforms to produce the speech waveform. The method further comprises the steps of deriving a matrix for converting the power spectrum envelopes into pitch waveforms and generating the pitch waveforms by obtaining a product of the derived matrix and the power spectrum envelopes. The text can comprise a phonetic text and the character series can comprise the phonetic text, represented by the speech waveform, and control data. The control data includes the pitch information and specifies the characteristics of the speech waveform. The method further comprises the steps of identifying when the phonetic text and the control data are input as part of the character series and generating the parameters in accordance with the identification. The method can further comprise the step of outputting the connected pitch waveforms from a speaker as synthesized speech and inputting the character series from a keyboard to a speech synthesis apparatus. According to still another aspect, the present invention which achieves at least one of these objectives relates to a speech synthesis method for synthesizing speech from a character series comprising a text and pitch information. The method comprises the step of generating power spectrum envelopes as parameters of a speech waveform to be synthesized and representing the text in accordance with the input character series. The method further comprises the step of generating pitch waveforms from a sum of products of the parameters and a cosine series, whose coefficients relate to the pitch information and sampled values of the power sepctrum envelopes generated as the parameters. The method further comprises the step of connecting the generated pitch waveforms to produce the speech waveform. The pitch waveform generating step can comprise the step of generating pitch waveforms having a period equal to the period of the speech waveform produced in the connecting step. In addition, the pitch waveform generating step can calculate the sum of the products while shifting the phase of the cosine series by half a period. The method can also comprise the steps of obtaining impulse-response waveforms from logarithmic power spectrum envelopes of the speech to be synthesized, deriving a matrix by computing a sum of products of a cosine function, whose coefficients comprise the impulse-response waveforms and a cosine function whose coefficients comprise sampled values of the power spectrum envelopes, and generating the pitch waveforms by calculating a product of the matrix and the impulse-response waveforms. The present invention prevents degradation in the tone quality of synthesized speech by generating pitch waveforms and unvoiced waveforms from pitch information and the parameters, and connecting the pitch waveforms and the unvoiced waveforms to produce a speech waveform. The present invention reduces the amount of calculation required for generating a speech waveform by calculating a product of a matrix, which has been obtained in advance, and parameters in the generation of pitch waveforms and unvoiced waveforms. The present invention synthesizes speech having an exact pitch by generating and connecting pitch waveforms, whose phases are shifted with respect to each other, in order to represent the decimal portions of the number of pitch period points in the generation of pitch waveforms. The present invention generates synthesized speech having an arbitrary sampling frequency with a simple method by generating pitch waveforms at the arbitrary sampling frequency using parameters (impulse-response waveforms) obtained at a certain sampling frequency and connecting the pitch waveforms in the generation of pitch waveforms. The present invention also generates a speech waveform from parameters in a frequency region and operating parameters in a frequency region by generating pitch waveforms from power spectrum envelopes of a speech using the power spectrum envelopes as parameters. The present invention can also change the tone of synthesized speech without operating parameters, by generating pitch waveforms by providing a function for determining frequency characteristics, converting sampled values of spectrum envelopes obtained from parameters by multiplying them with function values at integer multiples of a pitch frequency, and performing a Fourier transform of the converted sampled values in the generation of pitch waveforms. The present invention also reduces the amount of calculation required for generating a speech waveform by utilizing the symmetry of waveforms in the generation of pitch waveforms. The foregoing and other objects, advantages and features of the present invention will become more apparent from the following description of the preferred embodiments (which are described by way of example only) taken in conjunction with the accompanying drawings in which: FIG. 1 is a block diagram illustrating the functional configuration of a speech synthesis apparatus used in embodiments of the present invention; FIGS. 2A - 2C are graphs illustrating synthesis parameters used in the embodiments; FIG. 3 is a graph illustrating spectrum envelopes used in the embodiments; FIGS. 4 and 5 are graphs illustrating the superposition of sine waves; FIG. 6 is a schematic diagram illustrating the generation of pitch waveforms; FIG. 7 is a flowchart illustrating the processing for generating a speech waveform; FIG. 8 is a schematic diagram illustrating the data structure of one frame of a parameter; FIG. 9 is a schematic diagram illustrating the interpolation of synthesis parameters; FIG. 10 is a schematic diagram illustrating the interpolation of pitch scales; FIG. 11 is a schematic diagram illustrating the connection of waveforms; FIGS. 12A - 12D are graphs illustrating pitch waveforms; FIG. 13 is a flowchart illustrating the processing for generating a speech waveform; FIG. 14 is a block diagram illustrating the functional configuration of a speech synthesis apparatus according to a third embodiment of the present invention; FIG. 15 is a flowchart illustrating the processing for generating a speech waveform; FIG. 16 is a schematic diagram illustrating the data structure of one frame of a parameter; FIGS. 17A - 17D are graphs illustrating synthesis parameters; FIG. 18 is a schematic diagram illustrating a method of generating pitch waveforms; FIG. 19 is a schematic diagram illustrating the data structure of one frame of a parameter; FIG. 20 is a schematic diagram illustrating the interpolation of synthesis parameters; FIG. 21 is a graph illustrating a frequency characteristics function; FIGS. 22 and 23 are graphs illustrating the superposition of cosine waves; FIGS. 24A - 24D are graphs illustrating pitch waveforms; and FIG. 25 is a block diagram illustrating the configuration of a speech synthesis apparatus used in the embodiments. First Embodiment FIG. 25 is a block diagram illustrating the configuration of a speech synthesis apparatus used in preferred embodiments of the present invention. In FIG. 25, reference numeral 101 represents a keyboard (KB) for inputting text from which speech will be synthesized, a control command or the like. The operator can input a desired position on a display picture surface of a display unit 108 using a pointing device 102. By designating an icon using the pointing device 102, a desired command or the like can be input. A CPU (central processing unit) 103 controls various kinds of processing (to be described later) executed by the apparatus in the embodiments, and executes the processing in accordance with control programs stored in a ROM (read-only memory) 105. A communication interface (I/F) 104 controls data transmission/reception performed utilizing various kinds of communication facilities. The ROM 105 stores control programs for processing performed according to flowcharts shown in the drawings. A random access memory (RAM) 106 is used as means for storing data produced in various kinds of processing performed in the embodiments. A speaker 107 outputs synthesized speech, or speech, such as a message for the operator, or the like. The display unit 108 comprises an LCD (liquid-crystal display), a CRT (cathode-ray tube) display or the like, and displays the text input from the keyboard 101 or data being processed. A bus 109 performs transmission of data, a command or the like between the respective units. FIG. 1 is a block diagram illustrating the functional configuration of a speech synthesis apparatus according to a first embodiment of the present invention. Respective functions are executed under the control of the CPU 103 shown in FIG. 25. Reference numeral 1 represents a character-series input unit for inputting a character series of speech to be synthesized. For example, if the word to be synthesized is "speech", a character series of a phonetic text, comprising, for example, phonetic signs "spí:t∫", is input by unit 1. This character series is either input from the keyboard 101 or read from the RAM 106. A character series input from the character-series input unit 1 includes, in some cases, a character series indicating, for example, a control sequence for setting the speed and the pitch of speech, and the like in addition to a phonetic text. By comparing the input character series with a phonetic-text-code table and a control-sequence-code table, the character-series input unit 1 determines whether the input character series comprises a phonetic text or a control sequence for each code according to the input order, and switches the transmission destination accordingly. A control-data storage unit 2 stores in an internal register a character series, which has been determined to be a control sequence and which has been transmitted by the character-series input unit 1. The unit 2 also stores control data, such as the speed and the pitch of the speech to be synthesized input from a user interface, in an internal register. When the character-series input unit determines that an input character series is a phonetic text, it transmits the character series to a parameter generation unit 3 which reads and generates a parameter series stored in the ROM 105, therefrom in accordance with the input character series. A parameter storage unit 4 extracts parameters of a frame to be processed from the parameter series generated by the parameter generation unit 3, and stores the extracted parameters in an internal register. A frame-time-length setting unit 5 calculates the time length Ni of each frame from control data relating to the speech speed stored in the control-data storage unit 2 and speech-speed coefficients K (parameters used for determining the frame time length in accordance with the speech speed) stored in the parameter storage unit 4. A waveform-point-number storage unit 6 calculates the number of waveform points nw of one frame and stores the calculated number in an internal register. A synthesis-parameter interpolation unit 7 interpolates synthesis parameters stored in the parameter storage unit 4 using the frame time length Ni set by the frame-time-length setting unit 5 and the number of waveform points nw stored in the waveform-point-number storage unit 6. A pitch-scale interpolation unit 8 interpolates pitch scales stored in the parameter storage unit 4 using the frame time Ni set by the frame-time-length setting unit 5 and the number of waveform points nw stored in the waveform-point-number storage unit 6. A waveform generation unit 9 generates pitch waveforms using synthesis parameters interpolated by the synthesis-parameter interpolation unit 7 and the pitch scales interpolated by the pitch-scale interpolation unit 8, and outputs synthesized speech by connecting the pitch waveforms. A description will now be provided of the generation of pitch waveforms performed by the waveform generation unit 9 with reference to Figs. 2 through 6. First, a description will be provided of synthesis parameters used for generating pitch waveforms. In Figs. 2A - 2C and in the other figures, N represents the degree of Fourier transform, and M represents the degree of synthesis parameters. N and M are arranged to satisfy the relationship of N ≥ 2M. Logarithmic power spectrum envelopes, a(h), of speech are expressed by: a(n) = A (2πn/N) (0 ≤ n < N). One such envelope is shown in Fig. 2A. Impulse responses, h(n), obtained by inputting the logarithmic power spectrum envelopes into exponential functions to be returned to a linear form, and performing an inverse Fourier transform are expressed by: One such response is shown in Fig. 2B. Synthesis parameters p(m) (0≤m<N) shown in fig. 2C can be obtained by doubling the values of the first degree and the subsequent degrees of the impulse responses relative to the value of the 0 degree. That is, with the condition of r≠0, where r is a real number which is not equal to zero, p(0) = rh(0) p (m) = 2rh(m) (1≤m<M). If the sampling frequency is expressed by f s , the sampling period, T s , is expressed by: T s = 1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T = 1/f, and the number of pitch period points is expressed by: N p (f) = f s T = T/T s = f s /f. By quantizing the number of pitch period points with an integer, the following expression is obtained: N p (f) = [f s /f], where [x] represents the maximum integer equal to or less than x. Thus, N p (f) equals the maximum integer equal to or less than f s /f. An angle  for each pitch period point when the pitch period is made to correspond to an angle 2π is expressed by:  = 2π/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: (see Fig. 3). If the pitch waveforms are expressed by: w(k) (0≤k<N p (f)), a power-normalized coefficient C(f) corresponding to the pitch frequency f is given by: C ( f ) = f / f 0 , where f 0 is the pitch frequency at which C(f) = 1.0. By superposing sine waves of integer multiples of the fundamental frequency, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: In this embodiment all the summation over 1 are taken from 1=1 to 1=[N p (f)/2] (see Fig. 4). Thus, Fig. 4 shows separate sine waves of integer multiples of the fundamental frequency, sin(k0), sin(2k0), ..., sin(1k0), which are multiplied by e(1), e(2), ..., e(1), respectively, and added together to produce pitch waveform w(k) at the bottom of Fig. 4. Alternatively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the pitch waveforms w(k)(0≤k<N p (f)) are generated as: (see Fig. 5). Specifically, Fig. 5 shows separate sine waves of integer multiples of the fundamental frequency shifted by half the phase of the pitch period, sin(k + π), sin(2(k + π), ..., sin(1(k + π), which are multiplied by e(1), e(2), ..., e(1), respectively, and added together to produce the pitch waveform w(k) at the bottom of Fig. 5. A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (1) and (2), the speed of calculation can be increased in the following manner. That is, if  = 2π/N p (s), where N p (s) is the number of pitch period points corresponding to the pitch scale s, terms for expression (1), and for expression (2) are calculated and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s)=(c km (s))(0≤k<N p (s), 0≤m<M). In addition, the number of pitch period points N p (s) and the power-normalized coefficient C(s) corresponding to the pitch scale s are stored in the table. The waveform generation unit 9 reads the number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s) = (c km (s)) from the table while using the synthesis parameters p(m) (0≤m<M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch-scale interpolation unit 8 as inputs, and generates pitch waveforms according to: (see Fig. 6). The above-described operation from the input of a phonetic text to the generation of pitch waveforms will now be explained with reference to the flowchart shown in Fig. 7. In step S1, a phonetic text is input into the character-series input unit 1. In step S2, control data (relating to the speed and the pitch of the speech) input from outside of the apparatus and control data in the input phonetic text are stored in the control-data storage unit 2. In step S3, the parameter generation unit 3 generates a parameter series from the phonetic text input from the character-series input unit 1. Fig. 8 illustrates an example of the data structure for one frame of each parameter generated in step S3. In step S4, the internal register of the waveform-point-number storage unit 6 is initialized to 0. If the number of waveform points is represented by n w , n w =0. In step S5, a parameter-series counter i is initialized to 0. In step S6, parameters of the i-th frame and the (i+1)-th frame are transmitted from the parameter generation unit 3 into the internal register of the parameter storage unit 4. In step S7, the speech speed data is transmitted from the control-data storage unit 2 into the frame-time-length setting unit 5. In step S8, the frame-time-length setting unit 5 sets the frame time length Ni using the speech-speed coefficients k of the parameters received in the parameter storage unit 4, and the speech speed data received from the control-data storage unit 2. In step S9, by determining whether or not the number of waveform points n w is less than the frame time length Ni, the CPU 103 determines whether or not the processing of the i-th frame has been completed. If n w ≥ Ni, the CPU 103 determines that the processing of the i-th frame has been completed, and the process proceeds to step S14. If n w < Ni, the CPU 103 determines that the i-th frame is being processed, the process proceeds to step S10, and the processing is continued. In step S10, the synthesis-parameter interpolation unit 7 interpolates synthesis parameters using synthesis parameters received from the parameter storage unit 4, the frame time length set by the frame-time-length setting unit 5, and the number of waveform points stored in the waveform-point-number storage unit 6. Fig. 9 illustrates the interpolation of synthesis parameters. If synthesis parameters of the i-th frame and the (i+1)-th frame are represented by p i [m] (0≤m<M) and p i+1 [m] (0≤m<M), respectively, and the time length of the i-th frame equals N i points, the difference Δp[m] (0≤m<M) between synthesis parameters per point is expressed by: Δp[m]=(p i+1 [m]-p i [m])/N i . The synthesis parameters p[m] (0≤m<M) are updated every time a pitch waveform is generated. The processing of p[m]=p i [m]+n w Δp[m] is performed at the start point of the pitch waveform. In step S11, the pitch-scale interpolation unit 8 interpolates pitch scales using the pitch scales received from the parameter storage unit 4, the frame time length set by the frame-time-length setting unit 5, and the number of waveform points stored in the waveform-point-number storage unit 6. Fig. 10 illustrates the interpolation of pitch scales. If the pitch scales of the i-th frame and the (i+1)-th frame are represented by s i and s i+1 , respectively, and the frame time length of the i-th frame equals N i points, the difference ▵s between pitch scales per point is expressed by: Δs=(s i+1 -s i )/N i . The pitch scale s is updated every time a pitch waveform is generated. The processing of s = s i + n w Δs is performed at the start point of the pitch waveform. In step S12, the waveform generation unit 9 generates pitch waveforms using the synthesis parameters p[m] (0≤m<M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of pitch period points N p (s), the power-normalized coefficients C(s), and the waveform generation matrix WGM(s) = (c km (s)) (0≤k<N p (s), 0≤m<M) corresponding to the pitch scale s are read from the table, and pitch waveforms are generated using the following expression: Fig. 11 is a diagram illustrating the connection of the generation pitch waveforms. If a speech waveform output from the waveform generation unit 9 as synthesized speech is expressed by: W(n) (0≤n), the connection of the pitch waveforms is performed according to: W(n w +k)+w(k) (i=0, 0≤k<N p (s)) where N j is the frame time length of the j-th frame. In step S13, the waveform-point-number storage unit 6 updates the number of waveform points n w as n w = n w +N p (s). The process then returns to step S9, and the processing is continued. If n w ≥ N i in step S9, the process proceeds to step S14. In step S14, the number of waveform points n w is initialized as: n w =n w -N i . In step S15, the CPU 103 determines whether or not all frames have been processed. If the result of the determination is negative, the process proceeds to step S16. In step S16, control data (relating to the speed and the pitch of the speech) input from the outside is stored in the control-data storage unit 2. In step S17, the parameter-series counter i is updated as: i=i+1. Then, the process returns to step S6, and the processing is continued. When the CPU 103 determines in step S15 that all frames have been processed, the processing is terminated. Second Embodiment As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to a second embodiment of the present invention, respectively. In the present embodiment, a description will be provided of a case in which in order to express a decimal portion of the number of pitch period points, pitch waveforms whose phrases are shifted are generated and connected. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9 with reference to Figs. 12A - 12D. Synthesis parameters used for generating pitch waveforms are expressed by p(m) (0<m≤M). If the sampling frequency is expressed by f s , the sampling period is expressed by: T s =1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of pitch period points is expressed by: N p (f)=f s T=T/T s =f s /f The decimal portion of the number of pitch period points is expressed by connecting pitch waveforms whose phases are shifted with respect to each other. The number of pitch waveforms corresponding to the frequency f is expressed by a phase number n p (f). Figs. 12A-12D illustrate pitch waveforms when n p (f)=3. In addition, the number of expanded pitch period points is expressed by: N(f) = [n p (f)N p (f)]=[n p (f)f s /f], and the number of pitch period points is quantized as: N p (f)=N(f)/n p (f). An angle  1 for each point when the number of pitch period points is made to correspond to an angle 2π is expressed by:  1 =2π/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: An angle  2 for each point when the number of expanded pitch period points is made to correspond to 2π is expressed by:  2 = 2π/N(f). If the expanded pitch waveforms are expressed by: w(k) (0≤k<N(f)), a power-normalized coefficient corresponding to the pitch frequency f is given by: C ( f ) = f / f 0 , where f 0 is the pitch frequency at which C(f) = 1.0. By superposing sine waves of integer multiples of the fundamental frequency, the expanded pitch waveforms w(k) (0<k≤N(f)) are generated as: In this embodiment all equations involving the summations over l are taken from l=1 to l=[N p (f)/2]. Alternatively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the expanded pitch waveforms w(k) (0≤k<N(f)) are generated as: A phase index is represented by: i p (0≤i p <n p (f)). A phase angle corresponding to the pitch frequency f and the phase index i p is defined as: (f,i p )=(2π/n p (f))i p . The following definition is made: r(f, i p )=i p N(f)mod n p (f), where a mod b represents a remainder obtained when a is divided by b. The number of pitch waveform points of the pitch waveform corresponding to the phase index i p is calculated by the following expression: P(f,i p )=[(i p +1)N(f)/n p (f)] - [1-r(f,i p +1)/n p (f)] - [i p N(f)/n p (f)] + [1-r(f,i p )/n p (f)]. The pitch waveform corresponding to the phase index i p is expressed by: Thereafter, the phase index is updated as: i p =(i p +1)mod n p (f), and the phase angle is calculated using the updated phase index as:  p = (f,i p ). When the pitch frequency is changed to f' when generating the next pitch waveform, in order to obtain the phase angle nearest to the phase angle  p , i' satisfying the following expression is obtained: and i p is determined so that i p =i'. A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (5) and (6), the speed of calculation can be increased in the following manner. That is, if the phase number, the phase index, the number of expanded pitch period points, the number of pitch period points, and the number of pitch waveform points corresponding to a pitch scale s ∈ S (S being a set of pitch scales) are represented by n p (s), i p (0≤i p <n p (s)), N(s), N p (s), and P(s,i p ), respectively, and  1 =2π/N p (s)  2 =2π/N(s), for expression (5),and are calculated, and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s,i p )=(c km (s,i p )) (0≤k<P(s,i p ), 0≤m<M). The phase angle (s,i p )=(2π/n p (s))i p corresponding to the pitch scale s and the phase index i p is stored in the table. In addition, the correspondence relationship for providing i 0 which satisfies for the pitch scale s and the phase angle  p (∈{(s,i p )|s∈S,0≤i<n p (s)}) is expressed as: i 0 =I(s, p ), and is stored in the table. The number of phases n p (s), the number of pitch waveform points P(s,i p ), and the power-normalized coefficients C(s) corresponding to the pitch scale s and the phase index i p are also stored in the table. The waveform generation unit 9 determines a phase index i p stored in an internal register by: i p =I(s, p ), where  p is the phase angle, and reads the number of pitch waveform points P(s,i p ), the power-normalized coefficients C(s) and the waveform generation matrix WGM(s,i p )=(c km (s,i p )) from the table while using the synthesis parameters p(m) (0≤m<M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch scale interpolation unit 8 as inputs, and generates pitch waveforms according to: After generating the pitch waveforms, the phase index is updated as: i p =(i p +1)mod n p (s), and updates the phase angle using the updated phase index as:  p =(s,i p ). Fig. 12A shows the expanded pitch waveform w(k), the number of pitch period points N p (f), and the number of expanded pitch waveform points (f). Fig. 12B shows the pitch waveform w p (k), a phase number n p (f) of 3, a phase index i p of 0, a phase angle (f,i p ) of 0, and the number of pitch waveform points P(f,i p ) and P(f,0)-1. Fig. 12C shows a pitch waveform w p (k), a phase index i p of 1, a phase angle (f,i p ) of 2π/3, and P(f,1)-1. Fig. 12D shows a pitch waveform w p (k), a phase index i p of 2, a phase angle (f,i p )of 4π/3, and p(f,2)-1. The above-described operation will now be explained with reference to the flowchart shown in Fig. 13. In step S201, a phonetic text is input into the character-series input unit 1. In step S202, control data (relating to the speed and the pitch of the speech) input from outside of the apparatus and control data in the input phonetic text are stored in the control-data storage unit 2. In step S203, the parameter generation unit 3 generates a parameter series from the phonetic text input from the character-series input unit 1. The data structure for one frame of each parameter generated in step S203 is the same as in the first embodiment, and is shown in Fig. 8. In step S204, the internal register of the waveform-point-number storage unit 6 is initialized to 0. If the number of waveform points is represented by n w , n w =0. In step S205, a parameter-series counter i is initialized to 0. In step S206, the phase index i p and the phase angle  p are initialized to 0. In step S207, parameters of the i-th frame and the (i+1)-th frame are transmitted from the parameter generation unit 3 into the parameter storage unit 4. In step S208, the speech speed data is transmitted from the control-data storage unit 2 into the frame-time-length setting unit 5. In step S209, the frame-time-length setting unit 5 sets the frame time length Ni using the speech-speed coefficients of the parameters received in the parameter storage unit 4, and the speech speed data received from the control-data storage unit 2. In step S210, the CPU 103 determines whether or not the number of waveform points n w is less than the frame time length Ni. If n w >Ni, the process proceeds to step S217. If n w <Ni, the step proceeds to step S211, and the processing is continued. In step S211, the synthesis-parameter interpolation unit 7 interpolates synthesis parameters using synthesis parameters received from the parameter storage unit 4, the frame time length set by the frame-time-length setting unit 5, and the number of waveform points stored in the waveform-point-number storage unit 6. The interpolation of parameters is the same as in step S10 of the first embodiment. In step S212, the pitch-scale interpolation unit 8 interpolates pitch scales using the pitch scales received from the parameter storage unit 4, the frame time length set by the frame-time-length setting unit 5, and the number of waveform points stored in the waveform-point-number storage unit 6. The interpolation of pitch scales is the same as in step S11 of the first embodiment. In step S213, the phase index is determined according to: i p =I(s, p ) using the pitch scale s obtained from expression (4) and the phase angle  p . In step S214, the waveform generation unit 9 generates a pitch waveform using the synthesis parameters p[m](0≤m<M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of pitch waveform points P(s,i p ), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s,i p )=(c km (s,i p )) (0≤k<P(s,i p ,0≤m<M) corresponding to the pitch scale s are read from the table, and pitch waveforms are generated using the following expression: If a speech waveform output from the waveform generation unit 9 as synthesized speech is expressed by: W(n) (0≤n), the connection of the pitch waveforms is performed according to W(n w +k)=w p (k) (i=0, 0≤k<P(s,i p ) where N j is the frame time length of the j-th frame. In step S215, the phase index is updated as: i p =(i p +1)mod n p (s), and the phase angle is updated using the updated phase index i p as:  p =(s,i p ). In step S216, the waveform-point-number storage unit 6 updates the number of waveform points n w as n w =n w +P(s,i p ). The process then returns to step S210, and the processing is continued. If n w ≥N i in step S210, the process proceeds to step S217. In step S217, the number of waveform points n w is initialized as: n w =n w -N i . In step S218, the CPU 103 determines whether or not all frames have been processed. If the result of the determination is negative, the process proceeds to step S219. In step S219, control data (relating to the speed and the pitch of the speech) input from the outside is stored in the control-data storage unit 2. In step S220, the parameter-series counter i is updated as: i=i+1. Then, the process returns to step S207, and the processing is continued. When it has been determined in step S218 that all frames have been processed, the processing is terminated. Third Embodiment In a third embodiment of the present invention, a description will be provided of generation of unvoiced waveforms in addition to the method for generating pitch waveforms in the first embodiment. Fig. 14 is a block diagram illustrating the functional configuration of a speech synthesis apparatus according to the third embodiment. Respective functions are executed under the control of the CPU 103 shown in Fig. 25. Reference numeral 301 represents a character-series input unit for inputting a character series of speech to be synthesized. For example, if a word to be synthesized is "speech", a character-series of a phonetic text, such as "spí:ts", is input into unit 301. A character series input from the character-series input unit 301 includes, in some cases, a character series indicating, for example, a control sequence for setting the speed and the pitch of speech, and the like in addition to a phonetic text. The character-series input unit 301 determines whether the input character series comprises a phonetic text or a control sequence. A control-data storage unit 302 stores in an internal register a character-series, which has been determined to be a control sequence and which has been transmitted by the character-series input unit 301. The unit 302 also stores control data, such as the speed and the pitch of a speech input from a user interface, in an internal register. When the character-series input unit 301 determines that an input character series is a phonetic text, it transmits the character series to a parameter generation unit 303 which reads and generates a parameter series stored in the ROM 105 therefrom in accordance with the input character series. A parameter storage unit 304 extracts parameters of a frame to be processed from the parameter series generated by the parameter generation unit 303, and stores the extracted parameters in an internal register. A frame-time-length setting unit 305 calculates the time length Ni of each frame from control data relating to the speech speed stored in the control-data storage unit 302 and speech-speed coefficients K (parameters used for determining the frame time length in accordance with the speech speed) stored in the parameter storage unit 304. A waveform-point-number storage unit 306 calculates the number of waveform points n w of one frame and stores the calculated number in an internal register. A synthesis-parameter interpolation unit 307 interpolates synthesis parameters stored in the parameter storage unit 304 using the frame-time-length Ni set by the frame-time-length setting unit 305 and the number of waveform points n w stored in the waveform-point-number storage unit 306. A pitch-scale interpolation unit 308 interpolates pitch scales stored in the parameter storage unit 304 using the frame time Ni set by the frame-time-length setting unit 305 and the number of waveform points n w stored in the waveform-point-number storage unit 306. A waveform generation unit 309 generates pitch waveforms using synthesis parameters interpolated by the synthesis-parameter interpolation unit 307 and the pitch scales interpolated by the pitch-scale interpolation unit 308, and outputs synthesized speech by connecting the pitch waveforms. The waveform generation unit 309 also generates unvoiced waveforms from the synthesis parameters output from the synthesis-parameter interpolation unit 307, and outputs a synthesized speech by connecting the unvoiced waveforms. The generation of pitch waveforms performed by the waveform generation unit 309 is the same as that performed by the waveform generation unit 9 in the first embodiment. In the present embodiment, a description will be provided of generation of voiceless waveforms performed by the waveform generation unit 309 in addition to the generation of pitch waveforms. Synthesis parameters used in the generation of voiceless waveforms are represented by: p(m) (0≤m<N). If the sampling frequency is expressed by f s , the sampling period is expressed by: T s =1/f s . The pitch frequency of sine waves used in the generation of unvoiced waveforms is represented by f, which is set to a frequency lower than the audible frequency band. [x] represents the maximum integer equal to or less than x. The number of pitch period points corresponding to the pitch frequency f is expressed by: N p (f)=[f s /f]. The number of unvoiced waveform points is represented by: N uv =N p (f). An angle  for each point when the number of unvoiced waveform points is made to correspond to an angle 2π is expressed by: =2π/N uv . The values of spectrum envelopes at integer multiples of the pitch frequency f are expressed by: If the unvoiced waveforms are expressed by: w uv (k) (0≤k<N uv ), a power-normalized coefficient C(f) corresponding to the pitch frequency f is given by: C ( f ) = f / f 0 , where f o is the pitch frequency at which C(f) = 1.0. The power-normalized coefficient used in the generation of unvoiced waveforms is expressed by: C uv =C(f). By superposing sine waves of integer multiples of the fundamental pitch frequency f while randomly shifting phases, unvoiced waveforms are generated. Phase shifts are represented by α 1 (1≤l≤[N uv /2]. The values of α 1 are set to random values which satisfy the following condition: -π<α 1 <π. The unvoiced waveforms w uv (k) (0≤k<N uv ) are generated as: In this embodiment all summations over l are from l=1 to l=[N uv /2]. Instead of directly performing the calculation of expression (7), the speed of the calculation can be increased in the following manner. That is, terms are calculated and the results of the calculation are stored in a table, where i uv (0≤i uv <N uv ) is the unvoiced waveform index. An unvoiced waveform generation matrix is expressed as: UVWGM(i uv )=(c(i uv ,m)) (0≤i uv <N uv ,0≤m<M). In addition, the number of pitch period points N uv and power-normalized coefficient C uv are stored in the table. The waveform generation unit 309 reads the power-normalized coefficient C uv and the unvoiced waveform generation matrix UVWGM(i uv )=(c(i uv ,m)) from the table while using the unvoiced waveform index i uv stored in the internal register and the synthesis parameters p(m) (0≤m<M) output from the synthesis-parameter interpolation unit 307 as inputs, and generates unvoiced waveforms of one point according to: After the unvoiced waveforms have been generated, the number of pitch period points N uv are read from the table, the unvoiced waveform index i uv is updated as: i uv =(i uv +1)mod N uv , and the number of waveform points stored in the waveform-point-number storage unit 306 is updated as: n w =n w +1. The above-described operation will now be explained with reference to the flowchart shown in Fig. 15. In step S301, a phonetic text is input into the character-series input unit 301. In step S302, control data (relating to the speed and the pitch of the speech) input from outside of the apparatus and control data in the input phonetic text are stored in the control-data storage unit 302. In step S303, the parameter generation unit 303 generates a parameter series from the phonetic text input from the character-series input unit 301. Fig. 16 illustrates the data structure for one frame of each parameter generated in step S303. In step S304, the internal register of the waveform-point-number storage unit 306 is initialized to 0. If the number of waveform points is represented by n w , n w =0. In step S305, a parameter-series counter i is initialized to 0. In step S306, the unvoiced waveform index i uv is initialized to 0. In step S307, parameters of the i-th frame and the (i+1)-th frame are transmitted from the parameter generation unit 303 into the internal register of the parameter storage unit 304. In step S308, the speech speed data is transmitted from the control-data storage unit 302 into the frame-time-length setting unit 305. In step S309, the frame-time-length setting unit 305 sets the frame time length Ni using the speech-speed coefficients received in the parameter storage unit 304, and the speech speed data received from the control-data storage unit 302. In step S310, whether or not the parameter of the i-th frame corresponds to an unvoiced waveform is determined by the CPU 103 using voice/unvoiced information stored in the parameter storage unit 304. If the result of the determination is affirmative , an uvflag (unvoiced flag) is set by the CPU 103 and the process proceeds to step S311. If the result of the determination is negative, the process proceeds to step S317. In step S311, the CPU 103 determines whether or not the number of waveform points n w is less than the frame time length Ni. If n w >Ni the process proceeds to step S315. If n w <Ni, the process proceeds to step S312, and the processing is continued. In step S312, the waveform generation unit 309 generates unvoiced waveforms using the synthesis parameter p i [m] (0≤m<M) of the i-th frame input from the synthesis-parameter interpolation unit 307. The power-normalized coefficient C uv and the unvoiced-waveform generation matrix UVWGN(s) (i uv )=(c(i uv ,m)) (0≤m<M) are read from the table, and unvoiced waveforms are generated using the following expression: If a speech waveform output from the waveform generation unit 309 as synthesized speech is expressed by: W(n) (0≤n), connection of unvoiced waveforms is performed according to W(n w +1)=w uv (i uv ) (i=0) where N j is the frame time length of the j-th frame. In step S313, the number of unvoiced waveform points N uv is read from the table, and the unvoiced waveform index is updated as: i uv =(i uv +1)mod N uv . In step S314, the waveform-point-number storage unit 306 updates the number of waveform points n w as n w = n w +1. Then, the process returns to step S311, and the processing is continued. When the voice/unvoiced information indicates a voiced waveform in step S310, the process proceeds to step S317, where the pitch waveform of the i-th frame is generated and connected. The processing performed in this step is the same as the processing performed in steps S9, S10, S11, S12 and S13 in the first embodiment. If n w ≥N i in step S311, the process proceeds to step S315, and the number of waveform points is initialized as: n w =n w -Ni. In step S316, the CPU 103 determines whether or not all frames have been processed. If the result of the determination is negative, the process proceeds to step S318. In step S318, control data (relating to the speed and the pitch of the speech) input from the outside is stored in the control-data storage unit 302. In step S319, the parameter-series counter i is updated as: i=i+1. Then, the process returns to step S307, and the processing is continued. When the CPU 103 determines in step S316 that all frames have been processed, the processing is terminated. Fourth Embodiment In a fourth embodiment of the present invention, a description will be provided of a case in which processing can be performed with different sampling frequencies in an analyzing operation and in a synthesizing operation. As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to the fourth embodiment, respectively. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9. Synthesis parameters used for generating pitch waveforms are expressed by p(m) (0≤m<M). The sampling frequency of impulse response waveforms, serving as synthesis parameters, is made an analysis sampling frequency represented by f s . Then, the analysis sampling period is expressed by: T s1 =1/f s1 . If the pitch frequency of a synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of analysis pitch period points is expressed by: N p1 (f)=f s1 T=T/T s1 =f s1 /f. The number of analysis pitch period points quantized by an integer is expressed by: N p1 (f)=[f s1 /f], where [x] is the maximum integer equal to or less than x. The sampling frequency of the synthesized speech is made a synthesis sampling frequency represented by f s2 . The number of synthesis pitch period points is expressed by: N p2 (f)=f s2 /f, which is quantized as: N p2 (f)=[f s2 /f]. An angle  1 for each pitch period point when the number of analysis pitch period points is made to correspond to an angle 2π is expressed by:  1 =2π/N p1 (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: An angle  2 for each pitch period point when the number of synthesis pitch period points is made to correspond to 2π is expressed by:  2 =2π/N p2 (f). If the pitch waveforms are expressed by: w(k) (0<k≤N p2 (f)), a power-normalized coefficient corresponding to the pitch frequency f is given by: C ( f ) = f / f 0 , where f o is the pitch frequency at which C(f)=1.0. By superposing sine waves of integer multiples of the pitch frequency, the pitch waveforms w(k) (0≤k<N p2 (f)) are generated as: In this embodiment all summations over l are taken from l=1 to l=[N p2 (f)/2]. Alternatively, by superposing sine waves of integer multiples of the pitch frequency while shifting them by half the phase of the pitch period, the pitch waveforms w(k) (0≤k<N p2 (f)) are generated as: A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (8) and (9), the speed of calculation can be increased in the following manner. That is, if the number of analysis pitch period points, and the number of synthesis pitch period points corresponding to a pitch scale s ∈ S (S being a set of pitch scales) are represented by N p1 (s), and N p2 (s), respectively, and  1 =2π/N p1 (s)  2 =2π/N p2 (s), for expression (8), and for expression (9), are calculated, and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s)=(c km (s)) (0≤k<N p2 (s),0≤m<M). The number of synthesis pitch period points N p2 (s) and the power-normalized coefficient C(s) corresponding to the pitch scale s are also stored in the table. The waveform generation unit 9 reads the number of synthesis pitch period points N p2 (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c km (s)) from the table while using the synthesis parameters p(m) (0≤m<M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch scale interpolation unit 8 as inputs, and generates pitch waveforms according to: The above-described operation will be explained with reference to the flowchart shown in Fig. 7. The processing of steps S1, S2, S3, S4, S5, S6, S7, S8, S9, S10 and S11 is the same as in the first embodiment. A description will now be provided of the processing of generating pitch waveforms in step S12 in the present embodiment. The waveform generation unit 9 generates pitch waveforms using the synthesis parameters p[m] (0<m<M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of synthesis pitch period points N p2 (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c km (s)) (0≤k<N p2 , 0<m≤M) corresponding to the pitch scale s are read from the table, and pitch waveforms are generated using the following expression: If a speech waveform output from the waveform generation unit 9 as synthesized speech is expressed by: W(n) (0≤n), the connection of the pitch waveforms is performed according to W(n w +k)=w(k) (i=0, 0≤k<N p2 (s)) where N j is the frame time length of the j-th frame. In step S13, the waveform-point-number storage unit 6 updates the number of waveform points n w as n w =n w +N p2 (s). The processing performed in steps S14, S15, S16 and S17 is the same as that in the first embodiment. Fifth Embodiment In a fifth embodiment of the present invention, a description will be provided of a case in which by generating pitch waveforms from power spectrum envelopes, parameters can be operated in the frequency range utilizing the power spectrum envelopes. As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to the fifth embodiment, respectively. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9. First, a description will be provided of synthesis parameters used for generating pitch waveforms. In Figs. 17A - 17D, N represents the degree of Fourier transform, and M represents the degree of impulse response waveforms used for generating pitch waveforms. N and M are arranged to satisfy the relationship of N≥2M. Logarithmic power spectrum envelopes of speech are expressed by: a(n)=A(2πn/N) (0≤n<N). One such envelope is shown in Fig. 17A. Impulse responses obtained by inputting the logarithmic power spectrum envelopes into exponential functions to be returned to a linear form, and performing an inverse Fourier transform are expressed by: One such response function is shown in Fig. 17B. Impulse response waveforms h'(m) (0≤m<M) used for generating pitch waveforms can be obtained by doubling the values of the first degree and the subsequent degrees of the impulse responses relative to the value of the 0 degree. That is, with the condition of r≠0, h'(0(=rh(0) h'(m)=2rh(m) (1≤m<M). One such impulse response waveform is shown in Fig. 17C. Synthesis parameters are expressed by: p(n)=r•exp(a(n)) (0≤n<N), and r=0, as shown in Fig. 17D. Then, the following expressions are obtained: If and the following expression is obtained: If the sampling frequency is expressed by f s , the sampling period is expressed by: T s =1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of pitch period points is expressed by: N p (f) = f s T = T/T s = f s /f. By quantizing the number of pitch period points with an integer, the following expression is obtained: N p (f)=[f s /f], where [x] represents the maximum integer equal to or less than x. An angle  for each pitch period point when the pitch period is made to correspond to an angle 2π is expressed by: =2π/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: If the pitch waveforms are expressed by: w(k) (0≤k<N p (f)), a power-normalized coefficient C(f) corresponding to the pitch frequency f is given by: C ( f ) = f / f o where f 0 is the pitch frequency at which C(f)=1.0. By superposing sine waves of integer multiples of the fundamental frequency, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: In this embodiment all the summations over l are taken from l=1 to l=[N p (f)/2]. Alternatively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (10) and (11), the speed of calculation can be increased in the following manner. That is, if =2π/N p (s), where N p (s) is the number of pitch period points corresponding to the pitch scale s, terms for expression (10), and for expression (11) are calculated and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s)=(c kn (s)) (0≤k<N p (s), 0≤n<M). In addition, the number of pitch period points N p (s) and the power-normalized coefficient C(s) corresponding to the pitch scale s are stored in the table. The waveform generation unit 9 reads the number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c kn (s)) from the table while using the synthesis parameters p(n) (0≤n<N) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch-scale interpolation unit 8 as inputs, and generates pitch waveforms according to: (see Fig. 18). The above-described operation will now be explained with reference to the flowchart shown in Fig. 7. The processing performed in steps S1, S2 and S3 is the same as that in the first embodiment. Fig. 19 illustrates the data structure for one frame of each parameter generated in step S3. The processing performed in steps S4, S5, S6, S7, S8 and S9 is the same as that in the first embodiment. In step S10, the synthesis-parameter interpolation unit 7 interpolates synthesis parameters using synthesis parameters received from the parameter storage unit 4, the frame time length set by the frame-time-length setting unit 5, and the number of waveform points stored in the waveform-point-number storage unit 6. Fig. 20 illustrates interpolation of synthesis parameters. If synthesis parameters of the i-th frame and the (i+1)-th frame are represented by p i [n] (0≤n<N) and p i+1 [n] (0≤n<N), respectively, and the time length of the i-th frame equals N i points, the difference Δρ[n] (0≤n<N) between synthesis parameters per point is expressed by: Δρ[n]=(p i+1 [n]-p i [n])/N i . The synthesis parameters p[n] (0≤n<N) are updated every time a pitch waveform is generated. The processing of p[n]=p i [n]+n w ▵ρ[n] is performed at the start point of the pitch waveform. The processing of step S11 is the same as in the first embodiment. In step S12, the waveform generation unit 9 generates pitch waveforms using the synthesis parameters p[n] (0≤n<N) obtained from expression (12) and the pitch scale s obtained from expression (4). The number of pitch period points N p (s), the power-normalized coefficients C(s) and the waveform generation matrix WGM(s)=(c kn (s)) (0≤k<N p (s), 0≤n<N) corresponding to the pitch scale s are read from the table, and the pitch waveforms are generated using the following expression: Fig. 11 is a diagram illustrating connection of the generated pitch waveforms. If a speech waveform output from the waveform generation unit 9 as synthesized speech is expressed by: W(n) (0≤n), the connection of the pitch waveforms is performed according to W(n w +k)=w(k) (i=0, 0≤k<N p (s)) where N j is the frame time of the j-th frame. The processing of steps S13, S14, S15, S16 and S17 is the same as in the first embodiment. Sixth Embodiment In a sixth embodiment of the present invention, a description will be provided of a case in which spectrum envelopes are converted using a function for determining frequency characteristics. As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to the sixth embodiment, respectively. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9. Synthesis parameters used for generating pitch waveforms are expressed by p(m) (0≤m<M). If the sampling frequency is represented by f s , the sampling period is expressed by: T s =1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of pitch period points is expressed by: N p (f)=f s T=T/T s =f s /f. The number of pitch period points quantized by an integer is expressed by: N p (f)=[f s /f], where [x] is the maximum integer equal to or less than x. An angle  for each point when the number of pitch period points is made to correspond to an angle 2π is expressed by: =2/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: A frequency-characteristics function used in the operation of spectrum envelopes is expressed by: r(x) (0≤x≤f s /2). Fig. 21 illustrates the case of doubling the amplitude of each harmonic having a frequency equal to or higher than f 1 . By changing r(x), spectrum envelopes can be operated upon. Using this function, the values of spectrum envelopes at integer multiples of the pitch frequency are converted as: If the pitch waveforms are expressed by: w(k) (0≤k<N p (f)), a power-normalized coefficient corresponding to the pitch frequency f is given by: C ( f ) = f/f 0 , where f 0 is the pitch frequency at which C(f)-1.0. By superposing sine waves of integer multiples of the fundamental frequency, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: In this embodiment all the summations over l are taken from l=1 to l=[N p (f)/2]. Alternatively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (13) and (14), the speed of calculation can be increased in the following manner. That is, if the pitch frequency, and the number of pitch period points corresponding to a pitch scale s are represented by f and N p (s), respectively, and =2π/N p (s), and the frequency-characteristics function is expressed by: r(x) (0≤x≤f s /2), and for expression (13), and for expression (14), are calculated, and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s)=(c km (s)) (0≤k<N p ,0≤m<M). The number of pitch period points N p and the power-normalized coefficient C(s) corresponding to the pitch scale s are also stored in the table. The waveform generation unit 9 reads the number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c km (s)) from the table while using the synthesis parameters p(m) (0<m<M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch-scale interpolation unit 8 as inputs, and generates pitch waveforms according to: (see Fig. 6). The above-described operation will be explained with reference to the flowchart shown in Fig. 7. The processing of steps S1, S2, S3, S4, S5, S6, S7, S8, S9, S10 and S11 is the same as in the first embodiment. In step S12, the waveform generation unit 9 generates pitch waveforms using the synthesis parameters p[m] (0≤m<M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c km (s)) (0≤k<N p (s),0≤m<M) corresponding to the pitch scale s are read from the table, and the pitch waveforms are generated using the following expression: Fig. 11 is a diagram illustrating the connection of the generated pitch waveforms. If a speech waveform output from the waveform generation unit 9 as a synthesized speech is expressed by: W(n) (0≤n), the connection of the pitch waveforms is performed according to W(n w +k)=w(k) (i=0,0≤k<N p (s)) where N j is the frame time length of the j-th frame. The processing performed in steps S13, S14, S15, S16 and S17 is the same as that in the first embodiment. Seventh Embodiment In a seventh embodiment of the present invention, a description will be provided of a case of using cosine functions instead of the sine functions used in the first embodiment. As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to the seventh embodiment, respectively. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9. Synthesis parameters used for generating pitch waveforms are expressed by p(m) (0≤m<M). If the sampling frequency is represented by f s , the sampling period is expressed by: T s =1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of pitch period points is expressed by: N p (f)=f s T=T/T s =f s /f. The number of pitch period points quantized by an integer is expressed by: N p (f)=[f s /f], where [x] is the maximum integer equal to or less than x. An angle  for each point when the number of pitch period points is made to correspond to an angle 2π is expressed by: =2π/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: (see Fig. 3). If the pitch waveforms are expressed by: w(k) (0≤k<N p (f)), a power-normalized coefficient corresponding to the pitch frequency f is given by: C ( f ) = f/f 0 , where f o is the pitch frequency at which C(f)=1.0. By superposing cosine waves of integer multiples of the fundamental frequency, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: In this embodiment all the summations over l are taken from l=1 to l=[N p (f)/2] for the equations up to and including equation 16, while l varies from l=1 to l=[N p (s)/2] in the equations after equation (16). If the pitch frequency of the next pitch waveform is represented by f', the value of the 0 degree of the next pitch waveform is expressed by: The pitch waveforms w(k) (0≤k<N p (f)) are generated as: w(k)=γ(k)w(k), where γ 0 =w'(0)/w(0) γ(k)=1+(γ 0 -1)/N p (f)•k (0≤k<N p (f)) (see Fig. 22). Thus, Fig. 22 shows separate cosine waves of integer multiples of the fundamental frequency cos(k), cos(2k), ..., cos(lk) which are multiplied by e(1), e(2), ..., e(l), respectively, and added together to produce a pitch waveform w(k) generated as γ(k)w(k) at the bottom of Fig. 22. Alteratively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the pitch waveforms w(k) (0≤k<N p (f)) are generated as: Fig. 23 shows this process. Specifically, Fig. 23 shows separate cosine waves of integer multiples of the fundamental frequency by half the phase of the pitch period cos(k+π), cos(2(k+π)), ..., cos(l(k+π)) which are multiplied by e(1), e(2), ..., e(l), respectively, and added together to produce the pitch waveform w(k) shown at the bottom of Fig. 23. A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (15) and (16), the speed of calculation can be increased in the following manner. That is, if the number of pitch period points corresponding to a pitch scale s are represented by N p (s), and =2π/N p (s), for expression (15), and for expression (16) are calculated, and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s)=(c km (s)) (0≤k<N p ,0≤m<M). The number of pitch period points N p and the power-normalized coefficient C(s) corresponding to the pitch scale s are also stored in the table. The waveform generation unit 9 reads the number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c km (s)) from the table while using the synthesis parameters p(m) (0≤m<M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch-scale interpolation unit 8 as inputs, and generates pitch waveforms according to: When the waveform generation matrix has been calculated according to expression (17), where s' is the pitch scale of the next pitch waveform, and w(k)=γ(k)w(k) is made to be the pitch waveform. The above-described operation will be explained with reference to the flowchart shown in Fig. 7. The processing of steps S1, S2, S3, S4, S5, S6, S7, S8, S9, S10 and S11 is the same as in the first embodiment. In step S12, the waveform generation unit 9 generates pitch waveforms using the synthesis parameters p[m] (0≤m<M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s)=(c km (s)) (0≤k<N p (s), 0≤m<M) corresponding to the pitch scale s are read from the table, and the pitch waveforms are generated using the following expression: When the waveform generation matrix is calculated according to expression (17), the difference Δs of pitch scales per point is read from the pitch-scale interpolation unit 8, and the pitch scale of the next pitch waveform is calculated as: s'=s+N p (s)Δs. Using this value of s', are calculated, and w(k)=γ(k)w(k) is made to be the pitch waveform. Fig. 11 is a diagram illustrating connection of the generated pitch waveforms. If a speech waveform output from the waveform generation unit 9 as a synthesized speech is expressed by: W(n) (0≤n), connection of pitch waveforms is performed according to W(n w +k)=w(k) (i=0, 0≤k<N p (s)) where N j is the frame time length of the j-th frame. The processing performed in steps S13, S14, S15, S16 and S17 is the same as that in the first embodiment. Eighth Embodiment In an eighth embodiment of the present invention, a description will be provided of a case in which a pitch waveform for a half period is used instead of a pitch waveform for one period utilizing the symmetry of pitch waveforms. As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to the eighth embodiment, respectively. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9. Synthesis parameters used for generating pitch waveforms are expressed by p(m) (0≤m<M). If the sampling frequency is represented by f s , the sampling period is expressed by: T s =1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of pitch period points is expressed by: N p (f)=f s T=T/T s =f s /f. The number of pitch period points quantized by an integer is expressed by: N p (f)=[f s /f], where [x] is the maximum integer equal to or less than x. An angle  for each point when the number of pitch period points is made to correspond to an angle 2π is expressed by: =2π/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: If the half-period pitch waveforms are expressed by: w(k) (0≤k≤[N p (f)/2]), a power-normalized coefficient corresponding to the pitch frequency f is given by: C ( f ) = f/f 0 , where f 0 is the pitch frequency at which C(f)=1.0. By superposing sine waves of integer multiples of the fundamental frequency, the half-period pitch waveforms w(k) (0≤k≤N p (f)/2) are generated as: In this embodiment all summations over l are taken from l=1 to l=[N p (f)/2]. Alternatively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the half-period pitch waveforms w(k) (0≤k<N p (f)/2) are generated as: A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (18) and (19), the speed of calculation can be increased in the following manner. That is, if the number of pitch period points corresponding to a pitch scale s are represented by N p (s), and =2π/N p (s), for expression (18), and for expression (19) are calculated, and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s) = (c km (s)) (0 ≤ k ≤ [N p (s)/2], 0 ≤ m < M). The number of pitch period points N p (s) and the power-normalized coefficients C(s) corresponding to the pitch scale s are also stored in the table. The waveform generation unit 9 reads the number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s) = (c km (s)) from the table while using the synthesis parameters p(m) (0 ≤ m < M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch-scale interpolation unit 8 as inputs, and generates half-period pitch waveforms according to: The above-described operation will be described with reference to the flowchart shown in FIG. 7. The processing of steps S1, S2, S3, S4, S5, S6, S7, S8, S9, S10 and S11 is the same as in the first embodiment. In step S12, the waveform generation unit 9 generates half-period pitch waveforms using the synthesis parameters p[m] (0 ≤ m < M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of pitch period points N p (s), the power-normalized coefficient C(s) and the waveform generation matrix WGM(s) = (c km (s)) (0 ≤ k < [N p (s)/2], 0 ≤ m < M) corresponding to the pitch scale s are read from the table, and the half-period pitch waveforms are generated using the following expression: A description will now be provided of connection of the generated half-period pitch waveforms. If a speech waveform output from the waveform generation unit 9 as a synthesized speech is expressed by: W(n) (0≤n), the connection of the pitch waveforms is performed according to where N j is the frame time length of the j-th frame. The processing performed in steps S13, S14, S15, S16 and S17 is the same as that in the first embodiment. Ninth Embodiment In a ninth embodiment of the present invention, a description will be provided of a case in which the pitch waveform is symmetrical for a pitch waveform whose number of pitch period points has a decimal-point portion. As in the case of the first embodiment, Figs. 25 and 1 are block diagrams illustrating the configuration and the functional configuration of a speech synthesis apparatus according to the ninth embodiment, respectively. A description will now be provided of the generation of pitch waveforms by the waveform generation unit 9 with reference to Figs. 24A-24D. Synthesis parameters used for generating pitch waveforms are expressed by p(m) (0≤m<M). If the sampling frequency is expressed by f s , the sampling period is expressed by: T s =1/f s . If the pitch frequency of synthesized speech is represented by f, the pitch period is expressed by: T=1/f, and the number of pitch period points is expressed by: N p (f)=f s T=T/T s =f s /f. The decimal portion of the number of pitch period points is expressed by connecting pitch waveforms whose phases are shifted with respect to each other. The number of pitch waveforms corresponding to the frequency f is expressed by a phase number n p (f). Figs. 24A-24D illustrate pitch waveforms when n p (f)=3. In addition, the number of expanded pitch period points is expressed by: N(f)=[n p (f)N p (f)]=[n p (f)f s /f], where [x] represents the maximum integer equal to or less than x, and the number of pitch period points is quantized as: N p (f) = N(f)/n p (f). An angle 0 1 for each point when the number of pitch period points is made to correspond to an angle 2π is expressed by:  1 = 2π/N p (f). The values of spectrum envelopes at integer multiples of the pitch frequency are expressed by: An angle  2 for each point when the number of expanded pitch period points is made to correspond to 2π is expressed by:  2 = 2π/N(f). The number of expanded pitch waveform points is expressed by N ex (f) = [[(n p (f) +1)/2]N(f)/n p (f)] - [1-([(n p (f)+1)/2]N(f))modn p (f)/n p (f)]+1, where a mod b indicates a remainder obtained when a is divided by b. If the expanded pitch waveforms are expressed by: w(k) (0 ≤ k < N ex (f)), a power-normalized coefficient corresponding to the pitch frequency f is given by: C ( f ) = f / f 0 , where f 0 is the pitch frequency at which C(f) = 1.0. By superposing sine waves of integer multiples of the pitch frequency, the expanded pitch waveforms w(k) (0 ≤ k < N ex (f)) are generated as: Alternatively, by superposing sine waves of integer multiples of the fundamental frequency while shifting them by half the phase of the pitch period, the expanded pitch waveforms w(k) (0 ≤ k < N ex (f)) are generated as: In the above equations in this embodiment 1 is summed from 1 to [N p (f)/2]. A phase index is represented by: i p (0 ≤ ip < n p (f)). A phase angle corresponding to the pitch frequency f and the phase index i p is defined as: (f,i p ) = (2π/n p (f))i p . The following definition is made: r(f, i p ) = i p N(f)mod n p (f). The number of pitch waveform points of the pitch waveform corresponding to the phase index i p is calculated by the following expression: P(f,i p )=[(i p +1)N(f)/n p (f)] - [1-r(f,i p +1)/n p (f)] - [i p N(f)/np(f)] + [1-r(f,i p )/n p (f)]. The pitch waveform corresponding to the phase index i p is expressed by: Thereafter, the phase index is updated as: i p = (i p + 1) mod n p (f), and the phase angle is calculated using the updated phase index as:  p =  (f,i p ). When the pitch frequency is changed to f' when generating the next pitch waveform, in order to obtain the phase angle nearest to the phase angle  p , i' satisfying the following expression is obtained: and i p is determined so that i p = i'. Thus, FIG. 24A shows the expanded pitch waveform w(k), the number of pitch period points N p (f), the number of expanded pitch period points N(f), and the number of expanded pitch waveform points N ex (f)-1. FIG. 24B shows the pitch waveform corresponding to the phase index i p , w p (k) = w(k) when 0 < k < P(f,0), when the phase index is 0, and when the phase angle, (f, i p ) is zero and the phase number n p (f) is 3, and the number of pitch waveform points P(f, i p ) and P(f,0) - 1. FIG. 24C shows a pitch waveform when the phase index is 1 and the phase angle (f, i p ) is 2π/3, so that the pitch waveform is w p (k) = w(P(f,0) + k) when 0 ≤ k < P(f, 1), and the number of pitch waveform points minus 1 is P(f,1) - 1. FIG. 24D shows a pitch waveform when the phase index is 2 and the phase angle (f, i p ) is 4π/3, so the pitch waveform is w p (k) = w(P(f,0) - 1 - k), when 0 ≤ k < P(f,2) and the number of pitch waveform points minus 1 is P(f,2) -1. A pitch scale is used as a scale for representing the pitch of speech. Instead of directly performing the calculation of expressions (20) and (21), the speed of calculation can be increased in the following manner. That is, if the phase number, the phase index, the number of expanded pitch period points, the number of pitch period points, and the number of pitch waveform points corresponding to a pitch scale s ∈ S (S being a set of pitch scales) are represented by n p (s), i p (0 ≤ i p < n p (s)), N(s), N p (s), and P(s, i p ), respectively, and  1 = 2π/N p (s)  2 = 2π/N p (s), where l is summed from 1 to [N p (s)/2], for expression (20), and where l is summed from 1 to [N p (s)/2], for expression (21) are calculated, and the results of the calculation are stored in a table. A waveform generation matrix is expressed as: WGM(s,i p )=(c km (s,i p )) (0 ≤ k < P(s, i p ), 0 ≤ m < M) . The phase angle (s,i p ) = (2π/n p (s))i p corresponding to the pitch scale s and the phase index i p is also stored in the table. In addition, the correspondence relationship for providing i 0 which satisfies for the pitch scale s and the phase angle  p (∈{(s,i p )|s ∈S, 0 ≤ i < n p (s)}) is expressed by: i 0 = I(s, p ), and is stored in the table. The phase number n p (s), the number of pitch waveform points P(s, i p ), and the power-normalized coefficient C(s) corresponding to the pitch scale s and the phase index i p are also stored in the table. The waveform generation unit 9 determines a phase index i p stored in an internal register by: i p = I(s, p ), where  p is the phase angle, and reads the number of pitch waveform points P(s,i p ), and the power-normalized coefficient C(s) from the table while using the synthesis parameters p(m) (0 ≤ m < M) output from the synthesis-parameter interpolation unit 7 and the pitch scale s output from the pitch-scale interpolation unit 8 as inputs. Then, when 0 ≤ i p < [(n p (s) + 1)/2], the waveform generation unit 9 reads the waveform generation matrix WGM(s,i p ) = (c km (s,i p )) from the table, and generates pitch waveforms according to: When [(n p (s) + 1)/2] ≤ i p < n p (s), the waveform generation unit 9 reads the waveform generation matrix WGM(s,i p ) = (c k , m (s,n p (s) - 1 - i p )), where k' = P(s, n p (s) - 1 - i p ) - 1 - k(0 ≤ k < P(s,i p )), from the table, and generates the pitch waveforms according to: After generating the pitch waveforms, the phase index is updated as: i p = (i p + 1) mod n p (s), and updates the phase angle using the updated phase index as:  p = (s, i p ). The above-described operation will now be explained with reference to the flowchart shown in FIG. 13. The processing performed in steps S201, S202, S203, S204, S205, S206, S207, S208, S209, S210, S211, S212 and S213 is the same as in the second embodiment. In step S214, the waveform generation unit 9 generates pitch waveforms using the synthesis parameters p[m] (0 ≤ m < M) obtained from expression (3) and the pitch scale s obtained from expression (4). The number of pitch waveform points P(s,i p ) and the power-normalized coefficient C(s) corresponding to the pitch scale s are read from the table. Then, when 0 ≤ i p < [(n p (s) + 1)/2], the waveform generation unit 9 reads the waveform generation matrix WGM(s,i p ) = (c km (s, i p )) from the table, and generates the pitch waveforms according to the following expression: When [(n p (s) + 1)/2] ≤ i p < n p (s), the waveform generation unit 9 reads the waveform generation matrix WGM(s,i p ) = C k , m (s, n p (s) - 1 - i p ), where k' = P(s, n p (s) - 1 - i p ) - 1 - k (0 ≤ k < P(s,i p )), from the table, and generates the pitch waveform according to the following expression: If a speech waveform output from the waveform generation unit 9 as synthesized speech is expressed by: W(n) (0 ≤ n), the connection of the pitch waveforms is performed, as in the first embodiment, according to: W(n w + k) = w p (k) (i = 0, 0 ≤ k < P(s,i p )) where N j is the frame time of the j-th frame. The processing performed in steps S215, S216, S217, S218, S219 and S220 is the same as in the second embodiment. The individual components designated by blocks in the drawings are all well known in the speech synthesis method and apparatus arts and their specific construction and operation are not critical to the operation or the best mode for carrying out the invention. While the present invention has been described with respect to what is presently considered to be the preferred embodiments, it is to be understood that the invention is not limited to the disclosed embodiments. To the contrary, the present invention is intended to cover various modifications and equivalent arrangements included within the scope of the appended claims.

Claims: A speech synthesis apparatus, comprising: generation means (3) for generating power spectrum envelopes (e(m)) in accordance with a character series; pitch waveform generating means (9) for generating pitch waveforms (w(k)) from the power spectrum envelopes (e(m)); and speech waveform synthesis means (9) for synthesizing a speech waveform based on the generated pitch waveforms (w(k)); the apparatus being characterised in that said pitch waveform generating means (9) is arranged to generate pitch waveforms (w(k)) from the power spectrum envelopes (e(m)) using a function which converts the power spectrum envelopes (e(m)) into the pitch waveforms (w(k)) and controls the frequency characteristics of the power spectrum envelopes (e(m)). An apparatus according to claim 1, wherein said pitch waveform generating means (9) is arranged to generate the pitch waveforms (w(k)) based on a product of the function and the power spectrum envelopes (e(m)). An apparatus according to either of claims 1 and 2, further comprising means (5) for controlling the speech speed of the speech waveform. An apparatus according to any one of claims 1 to 3, further comprising a speaker (107) for outputting the speech waveform outputs from said speech waveform synthesis means (9). An apparatus according to any one of claims 1 to 4, further comprising a character input means (4) for inputting the character series. An apparatus according to any one of claims 1 to 5, wherein said pitch waveform generating means (9) is arranged to control the frequency characteristics of the power spectrum envelopes (e(m)) to change the tone of the speech waveform. A speech synthesis method, comprising the steps of: generating power spectrum envelopes (e(m)) in accordance with a character series (S3); generating (S12) pitch waveforms (w(k)) from the power spectrum envelopes (e(m)); and synthesizing (S12) a speech waveform based on the generated pitch waveforms (w(k)); the method being characterised in that the pitch waveforms (w(k)) are generated from the power spectrum envelopes (e(m)) using a function which converts the power spectrum envelopes (e(m)) into the pitch waveforms and controls the frequency characteristics of the power spectrum envelopes (e(m)). A method according to claim 7, wherein in said generating step the pitch waveforms (w(k)) are generated based on a product of the function and the power spectrum envelopes (e(m)). A method according to either of claims 7 and 8, further comprising controlling the speech speed of the speech waveform (S7, S8) A method according to any one of claims 7 to 9, further comprising outputting the speech waveforms output from speech waveform synthesis step (S12)). A method according to any one of claims 7 to 10, further comprising inputting the character series (S1). A method according to any one of claims 7 to 11, in which in said pitch waveform generating step the frequency characteristics of the power spectrum envelopes (e(m)) are controlled to change the tone of the speech waveform. A data carrier programmed with machine implementable instructions for causing a processor to perform all the steps of a method according to any one of claims 7 to 12.

Inventors: ASO TAKASHI, FUKADA TOSHIAKI, OHORA YASUNORI, OTSUKA MITSURU, ASO, TAKASHI, FUKADA, TOSHIAKI, OHORA, YASUNORI, OTSUKA, MITSURU, ASO, TAKASHI, C/O CANON K.K., FUKADA, TOSHIAKI, C/O CANON K.K., OHORA, YASUNORI, C/O CANON K.K., OTSUKA, MITSURU, C/O CANON K.K.
Applicants: CANON KK, CANON KABUSHIKI KAISHA
Application year: 1995
Main classification: G10L13
IPC codes: G10L13, G10L11