Abstract:
A digital delay arrangement generates a delay time which is a noninteger multiple of the period of a system clock frequency. The arrangement includes a digital delay circuit having a delay time equal to the period, a multiplier for the part of the noninteger multiplier, b, being less than one, a further multiplier for 1- b, an adder and a peaking filter clocked by the system clock.

Description:
BACKGROUND OF THE INVENTION 
     The invention pertains to a digital delay circuit. 
     More specifically, the present invention relates to a delay circuit for digital signals which are formed from a band-limited analog signal by means of an analog-to-digital converter clocked by a sampling signal of fixed frequency, and which are to be delayed by a selectable nonintegral multiple of the sampling period in a digital circuit system clocked by the sampling signal. 
     In digital circuit systems processing digital signals under control of a fixed-frequency clock signal, which may be identical with the clock signal of the analog-to-digital converter producing the digital signals from an analog signal, the shortest possible delay that can be realized by simple means is the sampling period. If, in such a system, delays shorter than the sampling period or nonintegral multiples thereof are to be generated, which is necessary, for example, when interpolating digital signals, the digital signals must be delayed by means of a delay circuit specifically designed for this purpose if it is impossible to increase the frequency of the clock signal so as to achieve shorter delays as a result of the shorter sampling period. 
     SUMMARY OF THE INVENTION 
     In accordance with the invention a circuit system controlled by a clock signal of fixed frequency includes a delay circuit for digital signals which influences the digital signals so that they appear with a delay equal to a selectable nonintegral multiple of the sampling period. Furthermore, both the amplitude- and phase-frequency responses of the delay circuit are chosen to be optimal. Simultaneous optimization of both frequency responses is likely to succeed only in exceptional cases, but, depending on the application, a trade-off of the optimization of either of the two frequency responses for the optimization of the other is sufficient within the spirit of the invention. 
    
    
     BRIEF DESCRIPTION OF THE DRAWING 
     The invention will be better understood from a reading of the following detailed description in conjunction with the drawing in which: 
     FIG. 1 is a block diagram of an embodiment of the circuit in accordance with the invention; 
     FIG. 2 is a block diagram of a second embodiment of a circuit in accordance with the invention; and 
     FIG. 3 is a block diagram of a specific arrangement of the circuit of FIG. 2. 
    
    
     DETAILED DESCRIPTION 
     The digital signals ds are formed from a band-limited analog signal by means of an analog-to-digital converter (not shown) clocked by a sampling signal of fixed frequency. Digital signals ds are applied to the first digital delay element v1, which provides a delay v equal to the sampling period. The digital signals so delayed are fed to the first multiplier m1, which follows the first delay element v1 and is also fed with the numerical value of the smaller-than-one part b of the sampling period; by this part b, the digital signals ds are to be delayed, too. 
     The first delay element v1 and the first multiplier m1 form a first parallel branch. A second parallel branch contains the second multiplier m2, which is presented with the factor 1-b and the digital signals ds. The outputs of the first and second multipliers m1, m2 are respectively connected to the first and second inputs of the first adder a1, whose output is coupled to the input of the digital peaking filter pf. The delayed digital signals ds&#39; appear at the output of the peaking filter pf, which compensates for the amplitude-frequency response of the subcircuit formed by the two parallel branches and the first adder a1 in the frequency range up to half the sampling frequency. The amplitude-frequency response of this subcircuit has a zero at half the sampling frequency. 
     The delay circuit of FIG. 1 has different phase-frequency responses for different numerical values of the smaller-than-one part b of the nonintegral multiple. This is undesirable in certain applications. 
     The block diagram of FIG. 2 shows an embodiment of a second delay circuit. An arrangement as shown in FIG. 1 is used in which b=0.5, and in which the peaking filter pf is followed by the third multiplier m3, to which the selectable part of the sampling period, which part is now designated d, is applied as the second input signal. Associated with this parallel branch of the arrangement of FIG. 2 is a further parallel branch which, as seen from the input of the overall arrangement, contains the second delay element v2, which provides a delay v&#39; equal to that integral multiple of the sampling period which is the next smaller or next greater one of the total delay of the delay circuit of FIG. 1 if b=0.5, and the fourth multiplier m4, which has one of its inputs connected to the output of the second delay element v2, while the other input is presented with the factor 1-d. The outputs of the third and fourth multipliers m3 and m4 are respectively connected to the first and second inputs of the second adder a2, which delivers the delayed digital signal ds&#39;. The second adder a2 may be followed by a further peaking filter pf2 shown in dotted lines if required. 
     FIG. 3 shows a specific arrangement of the embodiment of FIG. 2 for a simple peaking filter with the transfer function 
     
         H(z)=f+(1-2f)z.sup.-1 +fz.sup.-2, 
    
     where z is the complex frequency variable, and f is a coefficient representing the peaking factor, as is well known. In FIG. 3, the first, second, and third delay stages vs1, vs2, vs3, each of which provides the delay v, are cascaded, and the input of the first delay stage vs1 is presented with the digital signal ds. This signal is also applied to the first input of the third adder a3, and the output of the first delay stage vs1 is coupled to the first input of the fourth adder a4, which has its second input connected to the input of the third delay stage vs3. The output of the latter is coupled to the second input of the third adder a3. The output of the third adder a3 is connected to the minuend input, and the output of the fourth adder a4 to the subtrahend input, of the first subtracter s1, whose output is coupled through the fifth multiplier m5 for the peaking factor f to the first input of the fifth adder a5, which has its second input connected to the output of the fourth adder a4. The output of the fifth adder a5 is coupled through the first multiplier m1 to the minuend input of the second subtracter s2, whose subtrahend input is connected to the output of the electronic switch s. The first input of the latter is connected to the output of the first delay stage vs1, and the second input to the output of the second delay stage vs2. The output of the second subtracter s2 is connected to the first input of the second adder a2 via the third multiplier m3, and the output of the electronic switch s is coupled to the second input of this adder. For a circuit delay between v and 1.5·v, the first input of the electronic switch s must be connected to the output of this switch; for 1.5·v to 2·v, the second input must be connected to the output. 
     The transfer function at the output of the first multiplier m1 is as follows: 
     
         H&#39;(z)=f+(z.sup.-1 +z.sup.-2)(1-f)+z.sup.-3 f. 
    
     It can be seen that in the specific embodiment of FIG. 3, the amount of circuitry required is reduced to a minimum, i.e., the functions of some of the subcircuits of FIG. 2 are performed by other subcircuits. 
     In the figures of the drawing, the interconnecting leads between the individual subcircuits are represented by lines for the sake of simplicity. The interconnections will generally be buses, because parallel signal processing will be used. In this case, the individual subcircuits will be subcircuits suitable for such parallel processing, i.e., parallel adders, parallel multipliers, etc. 
     The delay circuit in accordance with the invention can be readily implemented using integrated-circuit techniques, and preferably forms part of a larger integrated circuit. As the signals are processed digitally, implementation with insulated-gate field-effect transistor circuits, i.e., MOS technology, is particularly advantageous, but it is also possible to use other integrated-circuit techniques.