Abstract:
A system, method, and computer readable medium adapted to transmit a signal, comprises a receiver adapted to receive a first signal and produce a buffered signal; a transform adapted to produce pulses and index segments based on the buffered signal, wherein the transform is coupled to the receiver; a collection module adapted to receive and store the pulses and the index segments; and a transmitter adapted to transmit at least one of a following data from a group consisting of: the produced pulses and index segments; and the stored pulses and index segments.

Description:
CROSS REFERENCE TO RELATED APPLICATIONS  
       [0001]    The present commonly assigned patent application is related to and claims the benefit of U.S. Provisional Patent Application No. 60/433,394, filed on Dec. 15, 2002, entitled A SYNCHRONOUS METHOD FOR TRANSCODING EXISTING SIGNAL ELEMENTS WHILE PROVIDING A MULTI-RESOLUTION STORAGE AND TRANSMISSION MEDIUM AMONG REACTIVE CONTROL SCHEMES, the teachings of which are incorporated by reference herein.  
     
    
     
       BACKGROUND OF THE INVENTION  
         [0002]    The present invention is generally related to signal conversion, and more specifically, to a synchronous method and system for transcoding existing signal elements while providing a multi-resolution storage and transmission medium among reactive control schemes.  
           [0003]    The advent of the Internet has caused businesses to rethink their business models, customer relationships, and internal processes. Technology advances have created new opportunities to reach employees and customers, wherever they are, with information that is tailored to their needs and preferences. This information is often already stored and used in the business, but the delivery system must be re-engineered to exploit the new technology and tailor the content so it is more usable. A common problem associated with this re-engineering is that data or information that is stored in some form on one system, may be needed in a different form by another system.  
           [0004]    The user interaction model advanced by the Internet browser, along with portable and interoperable features of new technologies such as the Java language and Extensible Markup Language have created a new opportunity to address this problem with some common techniques. In contrast, the rapid appearance of wireless and other new networks with widely varying characteristics and the preponderance of new devices with a wide variety of capabilities creates new constraints on the solution. Devices that are designed to be easily carried and used in the field trade off some capabilities to gain this portability. To be easily carried, they must be light and small. This requirement limits the types of user interfaces they can support. Large screens and full keyboards are cumbersome; a small screen and telephone keypad are more realistic, although some devices may have only a voice interface. To run on battery power for useful periods of time, power consumption must be carefully managed, forcing the use of designs with little storage and processing capability. To be connected from anywhere requires wireless or intermittent wired connections, which limit the types of interactions and bandwidth available for accessing content.  
           [0005]    All of these constraints create difficult challenges in designing a useful system for delivering content to a wide array of devices. However, if such an information delivery system can be created quickly and cost-effectively, and if it integrates with existing information systems, the value to customers can be immense. Transcoding, or adapting content from one form to another, is a key part of meeting these requirements for rapid, inexpensive deployment of new ways to access existing content.  
           [0006]    The media signal processing industry first used the term “transcoding” to refer to the task of converting a signal, associated with a television program for example, from one format to another while preserving the content of the program. An example of this would be converting the National Television System Committee standard, used in America and Japan, to the Phase Alternating Line standard, used in much of the rest of the world. Although the term has lately been used to mean many different things, the term transcoding is utilized here to refer to the tasks of summarizing or filtering (which modify content without changing its representation) and translating, or converting, content from one representation to another.  
           [0007]    An example of transcoding can be found in lossy image compression, which is generally performed in the manner described herein. An input signal of uncoded data is received and down-sampled using a color transform then converted to another domain, i.e., from the spatial domain to the time domain. The signal is then quantized using fixed steps based on given user parameters and then passed to an entropy coder which collects redundant data and finally stores the data to a file.  
           [0008]    The process is reversed to recover the data. In this example of the lossy compressed image file, a datum would be read into a memory, uncompressed by reversing the entropy encoding (thus forcing the resulting coefficients through the time domain transform back to the spatial domain), up-sampling the data using the reverse of the applied color transform, then storing the resulting uncoded values. A similar process can be used to retrieve the un-coded pixels from any previously compressed file or meta-file.  
           [0009]    Once this datum is recovered, a transcoding operation may be employed in order to reduce the image bitrate or to place the image into a different format. This process is more suitable for the device for which it is targeted. However, due to the quantization process performed during the first and second signal encodings, the recovered information is much lower in quality than the original. This is evident by the existence of distortions (artifacts), which appear in the reconstructed signal as a result of the quantization process, usually characterized by a Gibbs phenomenon or contrast loss and/or blending. Performing still multiple iterations of this compression process produces additional artifacts compounded on the previous ones thereby further degrading signal quality.  
           [0010]    In addition, this method of compression does not provide the ability to extract an infinite array of signal dimensions from a single binary segment and additively sum the results during reconstruction. For this reason, multiple signals require additional memory device storage to present a finite organization of possibilities available to the user over the requirements of the original. For example, to store an image for varying resolutions, usually a thumbnail, small, medium, large and original copy is archived so that users, having varying transmission capabilities, have the ability to locate and retrieve the image dimension of their preference or need. The same is true for audio files as well as video. Therefore, what is needed is a method and system that overcomes these problems and limitations.  
         SUMMARY OF THE INVENTION  
         [0011]    The present invention enhances digital waveform transmission and storage by collapsing signals into smaller time-bandwidth pulse segments thereby providing faster delivery (smaller signature in the time/transmission domain) through transmission channels and having the ability to re-compress a given compressed signal even further in order to reduce its already compressed size while minimizing artifacts in the signal structure. As a result, initial arrivals of the coded pulses may be reconstructed once received at the appropriate transponder in a more expedient manner than is available to date which may occur before the entire signal needs to or even has a chance to be received by the reconstructing transponder. As such, an enhanced transmission solution comprised of the most significant data characterized as first arrival for the necessity of advanced vision capability (even in the event of broken or impaired signal transmission is all that is being provided).  
           [0012]    In order to achieve such a solution, the present invention provides characteristic and critically controlled output of specified waveform signatures as desired by the reconstructing transponder. Inputs to the signal handling method include time-bandwidth product, waveform length, sidelobe suppression, etc. These input requirements may be further simplified using a statistical modeling technique that considers the input information, the transform performance and the additional storage and transmission savings desired. The described operably coupled transforms are used to compress signals into more compact pulse segments for more efficient transmission and/or storage and indexing. The resulting signature is then passed to a module such as a vector waveform generator and delivered to the output device. The output signal generation is taken to have negligible error with minimal coefficient loss.  
           [0013]    The attribute of separating the frequency fluctuations into neat compartments produces several benefits. These include the re-orientation of like datum that provides high compressibility. In addition, the stacking orientation of the iterative process provides true finite representation of the spatial information of the image as numerous points within the storage matrix. This lends to a large benefit for the reconstruction process whereby the pulse can be retrieved in a compressed state and deciphered at N-number of quantization levels so that ranges from thumbnail-sized images to the image in its entirety and any amount in-between can be recovered and reconstructed for the user by simply summing the respective coefficient transmissions together. This attribute also lends itself to unique and “smart” network design solutions. These are briefly discussed herein.  
           [0014]    In the present invention, this method and system is additionally applied to other signals and systems such as full-motion low and high-bitrate video signals, single and multichannel audio, virtual-reality systems and still-frame coding for archival, analysis and transmission purposes. The present invention may also be utilized to handle rotations, shadows and shears in a given domain and is further viable for audio and textual coding, image sharpening, noise removal, image detail localization, improvement of impaired and mechanically aided natural vision and auditory senses, among other signal processing applications.  
           [0015]    In one embodiment, the present invention comprises a method for converting a signal, comprising: receiving, by a pre-decoder, at least one input signal; identifying, by the pre-decoder, the received input signal; transmitting, by the pre-decoder, the identifier to at least one of a following module, based on the identifier, from a group consisting of: at least one decoder; and a first encoder. The method further comprises transforming, by the identified decoder, the received input signal into a first un-encoded signal; transmitting the first un-encoded signal to at least one encoder, based on the identifier, by the at least one decoder; transmitting a second un-encoded signal, by the pre-decoder, to the first encoder; and converting, by the at least one encoder, the first un-encoded signal into a first encoded signal; and converting, by the first encoder, the second un-encoded signal, into a second encoded signal.  
           [0016]    In another embodiment, a system adapted to transmit a signal, comprising: a receiver adapted to receive a first signal and produce a buffered signal; a transform adapted to produce pulses and index segments based on the buffered signal, wherein the transform is coupled to the receiver; a collection module adapted to receive and store the pulses and the index segments; and a transmitter adapted to transmit at least one of a following data from a group consisting of: the produced pulses and index segments; and the stored pulses and index segments.  
           [0017]    In a further embodiment, a system adapted to transmit a signal, comprising: a receiver adapted to receive a first signal; a resolution module adapted to produce an un-coded signal based on the first signal, wherein the receiver is coupled to the resolution module; a transform adapted to produce pulses and index segments based on the un-coded signal, wherein the transform is coupled to the resolution module; a collection module adapted to receive and store the pulses and the index segments; a transmitter adapted to transmit at least one of a following data from a group consisting of: the produced pulses and index segments; and the stored pulses and index segments; and at least the memory coupled to at least one of a following element from a group consisting of: the receiver; the resolution module; the transform; the collection module; and the transmitter.  
           [0018]    In yet another embodiment, a pre-quantization module, comprising: means for filtering at least one of a following first signal from a group comprising of: an un-encoded signal; and an encoded signal; means for filtering a second filtered signal, wherein the second filtered signal is related to the first filtered signal; means for filtering a third filtered signal, wherein the third filtered signal is related to the second filtered signal; and means for transforming the third filtered signal, wherein the transformed third filtered signal is output from the pre-quantization module.  
           [0019]    In yet a further embodiment, a shear energy module, comprising: means for receiving at least one of a following pulse band from a group comprising of: a significant pulse band; and an insignificant pulse band; means for averaging amplitudes of the pulse band; means for transforming the averaged pulse into a phase coded pulse; and means for reflecting the phase coded pulse onto itself.  
           [0020]    In yet another embodiment, a computer readable medium comprising instructions for: outputting a signal request; transmitting the signal request; receiving an input waveform and error enhancing signal based on the transmitted signal request; transforming the received input waveform and error enhancing signal from a phase coded pulse to a presentation signal; and transmitting the presentation signal based on the transformed input waveform and error enhancing signal.  
           [0021]    In yet a further embodiment, a computer readable medium comprising instructions for: receiving an output waveform and error enhancement signal; producing enhanced coefficient trees based on the received output waveform and error enhancement signal; un-aligning the enhanced coefficient trees; and producing a transformed pulse based on the un-aligned enhanced coefficient trees.  
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0022]    [0022]FIG. 1 is a block diagram of the system overview in accordance with an exemplary embodiment of the present invention;  
         [0023]    [0023]FIG. 2 is a block diagram of the encoder portion of the system in accordance with an exemplary embodiment of the present invention;  
         [0024]    [0024]FIG. 3 is a high-level block diagram of the system demonstrating the versatility of the system having a resolution module and a single memory in accordance with an exemplary embodiment of the present invention;  
         [0025]    [0025]FIG. 4 is a high-level block diagram of the system demonstrating the versatility of the system without a resolution module and without a memory in accordance with an exemplary embodiment of the present invention;  
         [0026]    [0026]FIG. 5 is a high-level block diagram of the system demonstrating the versatility of the system without a resolution module but with a single “floating” memory utilized by multiple system modules in accordance with an exemplary embodiment of the present invention;  
         [0027]    [0027]FIG. 6 is a block diagram describing the detail of the pre-quantization module from FIG. 2 in accordance with an exemplary embodiment of the present invention;  
         [0028]    [0028]FIG. 7 is a block diagram describing the detail of the energy separation module from FIG. 2 in accordance with an exemplary embodiment of the present invention;  
         [0029]    [0029]FIG. 8 is a block diagram describing the detail of both the significant shear energy and insignificant shear energy modules located in FIG. 2 in accordance with an exemplary embodiment of the present invention;  
         [0030]    [0030]FIG. 9 is a block diagram describing the reconstruction of the system in accordance with an exemplary embodiment of the present invention; and  
         [0031]    [0031]FIG. 10 is a block diagram describing the portion of the end-user processing module in accordance with an exemplary embodiment of the present invention.  
     
    
     DETAILED DESCRIPTION OF THE INVENTION  
       [0032]    System Overview  
         [0033]    Referring to FIG. 1, the system  100  of the present invention includes an input signal  102 . This input signal  102  is captured by the capture block  104 . Once the signal  102  has been captured a received input signal  106  is transmitted to a pre-decoder  108 . This pre-decoder  108  acts as a logical multiplexer which may either separate the signal into several sub-signals or pass the signal in its entirety to one of several modules. Such modules may include a first decoder  112 , another decoder  114 , a default decoder  116 , an encoder  138 , or other modules of the present invention. In addition, this pre-decoder  108  may store one or several sub-signals or the entire signal in a first memory  110  in order to receive additional information if needed. Once the signal is received by a first decoder  112 , another decoder  114  or a default decoder  116 , the signal is converted to an un-encoded signal  126 - 130 . This un-encoded signal  126 - 130  is transmitted by a decoder  112 - 116  to its respective encoder  132 - 136  for further processing. At this juncture, the un-encoded signal  126 - 130  is usually much larger in length than the originating input signal  102 .  
         [0034]    If the signal transmitted by the pre-decoder  108  can be accepted by the encoder  138 , it is delivered to the encoder without first being transmitted to one of the decoders  112 - 116 . At any time, the first decoder  112  may utilize a second memory  120 , the another decoder  114  may utilize a second memory  122 , or the default decoder may utilize a second memory  124 . Although depicted as separate memories, the second memories  120 - 124  may be a common memory.  
         [0035]    If the first decoder  112  received an input signal from the pre-decoder  108 , the un-encoded signal  126  is transmitted by the first decoder to the encoder  132 . The encoder  132  may utilize a third memory  140  as the un-encoded signal is being processed. Once the encoder  132  has processed the un-encoded signal  126 , it transmits the encoded signal  148  to a collection unit  156 . Likewise, if another decoder  114  received an input signal from the pre-decoder  108 , the un-encoded signal  128  is transmitted by another decoder to the encoder  134 . The encoder  134  may utilize a third memory  142  as the un-encoded signal is being processed. Once the encoder  134  has processed the un-encoded signal  128 , it transmits the encoded signal  150  to the collection unit  156 . In addition, if the default decoder  116  received an input signal from the pre-decoder  108 , the un-encoded signal  130  is transmitted by default decoder to the encoder  136 . The encoder  136  may utilize a third memory  144  as the un-encoded signal is being processed. Once the encoder  136  has processed the un-encoded signal  130 , it transmits the encoded signal  152  to the collection unit  156 . In the case that the pre-decoder  108  has transmitted the un-encoded or encoded signal  118  to encoder  138 , encoder  138  processes the signal and may utilize a third memory  146  as needed. Although depicted as separate memories, the third memories  140 - 146  may be a common memory. Once the encoder  138  has processed the input signal  118 , the encoder  138  transmits the encoded signal  154  to the collector unit  156 .  
         [0036]    The collector unit  156  coordinates the multitude of signals including the encoded signals  148 - 154 . Once these signals are collected, they are re-multiplexed together and then transmitted to a pre-module  160  within the collector unit  156 . The collection unit  156  may also store indexing information in a fourth memory  166  for quick retrieval usage by the pre-module  160  and the logical sync  168 . The pre-module  160  takes the index information and other content  158  and produces the un-synchronized encoded signal with indexing properties  162 . The un-synchronized encoded signal with indexing properties  162  is used to reproduce the outgoing signal tailored to the details of the signal request  172  received by the logical synchronization module  168 . Once the signal request  172  has been received by the logical sync module  168 , the logical sync module determines and dynamically synchronizes the content array and resolution block size of the content array. Once the logical sync module  168  has determined these attributes of the given content, the content is retrieved from a fifth memory  164  by the logical sync module and transmitted to either an encryption module  170  or to a transmission module  174  directly. If the content has been transmitted to the encryption module  170 , the encryption module  170  processes the content and then transmits the encrypted content to the transmission module  174 . Although depicted as separate memories  110 ,  120 - 124 ,  140 - 146 ,  164  and  166 , these can be combined into one memory and may be directly and/or indirectly accessed.  
         [0037]    High-Level System Block Diagrams  
         [0038]    Referring to FIG. 3, a system  300  of the present invention includes a resolution module  308  and a fixed storage memory  318 . Once an input signal  302  is received by an input receiver  304 , the signal is transmitted as a buffered signal  306  by the input receiver, to a resolution module  308  for further processing. The resolution modules  308  receives the buffered signal  306  and transmits an un-encoded or encoded signal  310  to a transform module  312 . The transform module  312  converts the signal  310  to a series of pulses and generates index segments, the resultant pulse and index segments  314 , needed for the reconstruction of the pulse segments. Once the resultant pulse and index segments  314  have been produced, the transform module  312  transmits them to the collection module  316 . The collection module  316  stores the resultant pulse and index segments  314  to a memory  318 . If a user receiver  322  receives a user request  320  after the collection module  316  has successfully stored the resultant pulse and index segments  314  into the memory  318 , the user receiver specifies to the collection module the manner in which the pulse and index segments  314 , or a portion thereof, should be re-combined to form the output content tailored to the user request signal  320 . Once the pulse and index segments  314 , or a portion thereof, have been recombined by the collection module  316 , the collection module transmits the modified content to a transmitter module  324  for distribution as specified in the user request signal  320 .  
         [0039]    Referring to FIG. 4, the system  400  of the present invention does not include a resolution module  308  or a fixed storage memory  318 . Once an input signal  402  is received by an input receiver  404 , the signal is transmitted as an un-encoded or encoded signal  406  to a transform module  408 . The transform module  408  converts the signal to a series of pulses and generates index segments, the resultant pulse and index segments  410 , needed for the reconstruction of the signal. Once the resultant pulse and index segments  410  have been produced, the transform module  408  transmits them to the collection module  412 . The collection module  412 , having previously received a user request  414  from the user receiver  416 , transmits only a needed portion of the re-generated content to a transmitter  418  for distribution to one or more devices and discards any unneeded material.  
         [0040]    Referring to FIG. 5, the system  500  of the present invention does not include a resolution module  308  yet may contain a memory  510  which can be universally utilized by the system. Once an input signal  502  is received by an input receiver  504 , the signal is transmitted as an un-encoded or encoded signal  506  to a transform module  508 . The transform module  508  converts the signal to a series of pulses and generates index segments, the resultant pulse and index segments  512 , needed for the reconstruction of the signal. Once the resultant pulse and index segments  512  have been produced, the transform module  508  transmits them to the collection module  514 . Once the collection module  514  receives a user request  516  from a user receiver  518 , either before or during the time when the resultant pulse and index segments  512  are being produced, the collection module may transmit only the needed portion of the re-generated content based on the user request  516 . The collection module may transmit the material to a transmitter  520  for distribution to one or more devices and/or store the material, or a portion thereof, in the memory  510 . Once the material has been stored in the memory  510  by the collection module  514 , a series of asynchronous user requests  516  may be received by the user receiver  518  and acted upon as previously noted. In addition to the memory  510  being utilized by the collection module  514 , each independent module including the input receiver  504 , the transform module  508 , or the transmitter  520  may voluntarily utilize the memory  510  as needed.  
         [0041]    The Encoder, Pre-Quantization, Energy. Separation, and the Significant and Insignificant Shear Energy Module  
         [0042]    Referring now to FIG. 2, the encoder system  200  of the present invention, which is a detailed view of the encoder  132 , includes receiving an un-encoded or encoded signal  126  by a pre-quantization module  206  which provides an initial enhancement logic for a received datum. These data may need to be enhanced due to aliasing, noise and/or edge artifacts and produce a pre-transformed signal  214  based on a signal array (an ordered collection of numeric samples corresponding to a series of intensities). Each data value has a given intensity, which can be measured along a Cartesian or polar coordinate system where the y value corresponds to amplitude. The pulse propagation can also be mapped against the x-axis and used as the magnitude. The input rate of the given signal is derived from both the scalar quantization and the block data dimensions. The pre-quantization module  206  may store portions of the signal in a first memory  208  before producing a pre-transformed signal  214 . In addition, the pre-quantization module  206  collects encoding parameters  210  and  212  which are used later for the significant shear energy and insignificant shear energy modules  220  and  222  respectively. Once the pre-transformed signal  214  has been derived, the pre-quantization module  206  transmits the pre-transformed signal  214  to an energy separation module  216  in order to separate the energy fluctuations within the pre-transformed signal. During the process of separation, the energy separation module  216  may utilize a second memory  218 . Once the pre-transformed signal  214  has been separated in the energy separation module  216 , the energy separation module transmits the resulting significant shear energy to the significant shear energy module  220  and transmits the insignificant shear energy to the insignificant shear energy module  222 . The significant shear energy module  220  uses a significant sub-pulse transform to further remove insignificant energy from the significant energy signal. Further, the insignificant shear energy module  222  reduces the insignificant energy signal by applying an insignificant sub-pulse transform. The significant shear energy module  220  may utilize a third memory  224  as it produces the output signal. Likewise, the insignificant shear energy module  222  may utilize a fourth memory  226  as it produces its output signal.  
         [0043]    Once the significant shear energy module  220  has produced the output signal, the significant shear energy module transmits the output signal to a significant entropy module  228 . The significant entropy module  228  may store portions of the resulting transformed pulse  236  until it has been completed. Once the transformed pulse  236  has been completed, the significant entropy module  228  transmits the transformed pulse to a pulse collector  240 . Likewise, once the insignificant shear energy module  222  has produced the output signal, the insignificant shear energy module transmits the output signal to an insignificant entropy module  230 . The insignificant entropy module  230  may store portions of the resulting transformed pulse  238  until it has been completed. Once the transformed pulse  238  has been completed, the insignificant entropy module  230  transmits the transformed pulse to the pulse collector  240 . Once the pulse collector  240  receives the transformed pulses  236  and they are combined into a single output pulse  242  and transmitted to a seventh memory  140 . Although depicted as separate memories  208 ,  218 ,  226 ,  232 ,  234  and  140 , these can be combined into one memory and may be directly and/or indirectly accessed.  
         [0044]    Referring to FIG. 6, FIG. 7 and FIG. 8, a pre-quantization module  600 , an energy separation module  700  and significant and insignificant shear energy modules  800  are described in further detail.  
         [0045]    Referring now to FIG. 6, the pre-quantization module  600  of the present invention discloses an un-encoded or encoded signal  126  being received by a noise filtration module  602 . The un-encoded or encoded signal  126  is filtered using adaptive high and low-pass filters within the noise filtration module  602 . Once the filtered signal  604  has been produced, the noise filtration module  602  transmits the filtered signal to an edge artifact filtration module  606  which enhances the frequency characteristics of the edges within the given signal. Once the edge artifact filtration module  606  produces the filtered signal  608  it transmits the filtered signal to an anti-aliasing filtration module  610 . Once a filtered signal  612  has been produced in the anti-aliasing filtration module  610  it transmits the filtered signal to a clarification transform  614 .  
         [0046]    The initial task of the clarification transform  614  is to reduce the given data using a pre-transform in order to alter the aspect and size (duration) of the given pulse to an orthogonal matrix for faster processing and additional efficiency. To achieve this, the datum is passed through a higher domain transform which alters the pulse aspect from NM to PP where P is an arbitrary collection of data elements having uniform binary density. The datum may have consistent patterns of repeating information which appear in the majority of natural and synthetic image data. The purpose of this higher domain transform is to locate repeating objects within a harmonic range which occur in an additive sinusoidal frequency, marked by diminishing or increasing frequencies over time. This transform prepares objects shown at an angle in the pulse for the energy transform so that artifacts are reduced during the reconstruction process and provides for a substantial compression capability. Generally, non-frequency propagating data is obscured in the transform although this datum is generally minimal in many natural-occurring images. Therefore, the transform is only performed on pulses that can truly benefit from the process. Otherwise, the pulse perspective remains intact. Just as Doppler shifts occur in nature for audio signals, for example when a standing object senses the whistle of a moving locomotive, the same occurs for pulse signals at a spatial level. These repeating patterns, such as a railroad track, the side of a building or a football field, have a particular frequency associated with it from a beginning of the pulse to its vanishing moment (even if the vanishing moment may be off-screen). This phenomenon may also be exploited for temporal coding applications such as video. This frequency can be determined and modeled so that a series of coefficients can be derived from the modeled datum and used to determine redundancy in entire pulse patterns. Once the clarification transform  614  has produced the output signal  214  it is transmitted to a memory  208 , for example.  
         [0047]    Referring to FIG. 7, the energy separation module  700  of the present invention depicts a pre-transform signal  214  being received by a signal array collector  702 . As the pre-transform signal  214  is collected in separate arrays, the output energy pulse is transmitted to a memory  218  until the signal array collector  702  has received a complete pre-transform signal  214 . Once the output energy pulse has been collected into a buffered signal  704 , the signal array collector  702  transmits the buffered signal to the pre-transform decimation module  706 . The pre-transform decimation module  706  converts the buffered signal  704  to an alternative domain; each discrete portion of the resulting transformed signal delta is then processed using a 2 dimensional analysis of particular energies and respective intensities taken that delta is the set of a 1 , b 1 , c 1 , and d 1 . This series of transforms produces subsets of the transformed signals called sub-pulses where each sub-pulse a 1 , b 1 , c 1 , d 1  has M/k horizontal points and N/k vertical points (where k is the divisible number of sub-iterations corresponding to the pulse derivative). Sub-pulse c 1  is created by computing trends along the horizontal axis of delta followed by computing trends along the vertical axis; so it is an averaged, lower resolution version of delta. Since a 1D trend sub-pulse is sqrt(2) times an average of successive values in a signal, the 2D trend sub-pulse c 1  is equal to 2 times an average of a small square containing adjacent values from the pulse delta. Therefore, the values of c 1  can be shown as scalar products of the delta with scaling signals. Sub-pulse a 1  is created by computing trends along the horizontal axis of the delta followed by computing energy fluctuations along vertical points. Consequently, wherever there are horizontal edges in a pulse, the fluctuations along vertical points are used to detect these edges. In addition, any vertical fluctuations are left out of this pulse a 1  so that a 1  is a collection of horizontal energy fluctuations. Sub-pulse d 1  is similar to a 1  with the exception of the roles being switched for horizontal energy fluctuations to vertical ones.  
         [0048]    It is also of interest that all horizontal traces are left out of the filter so that this is referred to as a collection of vertical energy fluctuations. Sub-pulse b 1  is the diagonal energy fluctuations along both horizontal and vertical axes. The horizontal and vertical fluctuations are erased where these energies are relatively more constant and the true diagonal details are emphasized. The energies of a pulse are the direct summation of the energies separated into the horizontal and vertical axes. Since the 1D transform of the horizontal axis preserves the energies of the row vectors, the pulse obtained for a 1  will have the same energy of the original pulse supplied to the transform. Likewise, the same is true for the d 1  sub-pulse. The process of obtaining the four sub-pulses can be continued N times in order to further produce incremental compression and storage efficiency until the inevitable rounding errors of the computing device basically decimate the energy levels needed to produce a suitable reconstructed pulse. In this manner, the pre-transform decimation module  706  produces 1 to N pulse bands  708 . As these 1 to N pulse bands  708  are generated, they are separated by the given frequency levels in order to compartmentalize the resulting sub-pulse segments into significant and insignificant pulse bands  710  and  712 . Once the significant and insignificant pulse bands  710  and  712  have been generated, the pre-transform decimation module  706  transmits the pulse bands to their respective significant and insignificant shear energy modules  220  and  222 .  
         [0049]    Referring to FIG. 8, the significant and insignificant shear energy modules  800  of the present invention depict a significant or insignificant pulse band  710  or  712  being received by the sub-pulse transform module  802 . The sub-pulse transform module  802  processes the significant or insignificant pulse band  710  or  712  by deriving first averages over the amplitude of the pulse then transforming the pulse to a phase signal so that a thorough statistical analysis of the pulse may be accomplished. Once completed, the pulse signal is transformed to the transformed domain and phase coded using the filter coefficients derived in the previous computations. Once the initial phase coding of the pulse is complete, the pulse is brought upon itself as a reflected signal for the intention of determining specific intensity groupings targeted for separation due to redundancy. At this point, separate high-pass and low-pass filter coefficients from the original reflected pulse are stored for later use in coding the derived coefficient trees based on the signal significance at varying levels of frequency measuring points. During this process, the sub-pulse transform module may utilize a memory  224  or  226  for the purpose of storing the partial output energy pulse  808  until the transformed pulse  804  has been completely produced. Once the significant or insignificant pulse band  710  or  712  has been transformed by the sub-pulse transform module  802  into the transformed pulse  804 , the sub-pulse transform module  802  transmits the transformed pulse to a sub-pulse modeling module  806 .  
         [0050]    In the interest of supplying the most generous collections of redundant coefficients to the entropy module  228  and  230 , the sub-pulse modeling module  806  produces a set of continuous time models which are chained together based on statistical analysis of the repeated datum by realigning the received phase coded pulse. Therefore, if a point at (x, y) changes at a rate r(t), an occurrence between times t and t+dt has probability about r(t)dt when dt is small. When r(t) is a constant r, the times t[i] between occurrences are independent exponentials with mean 1/r, and have a Poisson process with rate r. These chains in continuous time are defined by giving the rates q(x, y) at which jumps occur from state x to state y. In many cases q(x, y) can be written as p(x, y)Q where Q is a constant that represents the total jump rate. In this case, the chain is constructed by taking one step according to the transition probability p(x, y) at each point of a Poisson process with rate Q. If the information about the exponential holding times in each state is discarded, the resulting sequence of states visited is an embedded discrete time chain. Therefore, the total flip rate Q at any one time is a multiple of the number of sites, CQ. Since the number of sites is typically tens of thousands, very little accuracy is lost in simulating TCQ steps and calling the result the state at time T. To build the discrete time chain, various transitions with probabilities proportional to their rates must be carefully picked. In this system, sites are picked at random, applying a stochastic updating rule, and then repeating the procedure to fully accomplish the selection process. This continuous time convolution is referred to as asynchronous updating in order to distinguish it from the synchronous updating of the discrete time process that updates all of the sites simultaneously. Once the sub-pulse modeling module  806  produces the datum chain, it is transmitted to the respective entropy module  228  or  230 .  
         [0051]    Once received by the respective entropy module  228  or  230 , this datum chain is used as the probability model to the entropy encoding tree in the entropy module  228  or  230  so that the symbols are encoded from the transformed source in an optimal fashion. To do this, each symbol is assigned a code x(i) with length L(i)=−log(2) p(i), where p(i) is the probability of the symbol&#39;s occurrence. This produces the transformed pulse  236  or  238  based on the pulse significance.  
         [0052]    The Reconstruction  
         [0053]    Referring to FIG. 9, the reverse of the aforementioned process is described in the present invention as a reconstruction  900 . The reconstruction  900  provides an output waveform such as a presentation signal  912  which may be an image  920 , or text  918  or  926 , to the viewing user, a sound  924  or  928  to the human ear, or moving images for video  916  or  922 , among other examples. An end-user processing module  908  transmits a signal request  172  to the end-user transmission module  910 . The signal request  172  is then transmitted by the end-user transmission module  910  across a network  902  to the logical sync module  168 . The logical sync module  168  receives the signal request  172  that is then accessed by the logical sync module  168  for processing. Once the logical sync module  168  retrieves the intended pulse, the pulse or a portion of it is encrypted in the encryption module  170  and transmitted to the requesting transponder using the transmitter  174  over the network  902  or other medium. Once the requested pulse or a portion of it arrives over the network  902  or other medium at the intended transponder, such as a desktop browsing system or other end-user system, which may include an end-user receiver module  904 , an input waveform and enhancement signal  906  is transmitted by the end-user receiver module  904  to the end-user processing module  908  to be decoded post-transmission using various first arrival segments. Simultaneous transmission of the error enhancement signal  906  is also presented to the receiver embedded within the same pulse described herein as the input waveform and enhancement signal. The end-user processing module  908  decodes the input waveform and error enhancement signal  906  into its own format, a format of its original type or a format of another type which is optimized for a target device  916 ,  918 ,  920 ,  922 ,  924 ,  926 ,  928  or other as the presentation signal  912 . Once the presentation signal  912  has been produced, it is transmitted by the end-user processing module  908  to the end-user presentation apparatus  914  (i.e., an electronic device).  
         [0054]    Referring to FIG. 10, an end-user processing module  908  depicts an output waveform and error enhancement signal  906  being received by the system  1000  of the present invention. Once the pulse decryption module  1002  receives the output waveform and error enhancement signal  906 , the pulse decryption module  1002  reverses the encryption applied to the pulse if it is encrypted and transmits the decrypted pulse  1004  to the reverse entropy module  1006 . If the pulse has not been encrypted, the output waveform and error enhancement signal  906  is transmitted directly to the reverse entropy module  1006  as is. The reverse entropy module  1006  produces a series of enhanced coefficient trees  1008  and an error recovery signal. A memory  1010  is assigned in relation to the needs relating to both signals encompassing the enhanced coefficient trees  1008  and the error recovery signal. A pulse reconstruction module  1014  reads the enhanced coefficient trees  1008  and the error recovery signal from the memory  1010 . The coefficient trees are re-sorted and recovered in the pulse reconstruction module. Another function of the pulse reconstruction module  1014  involves applying the error recovery signal to the re-sorted coefficient trees. As the first arrival data is read from the memory  1010  and is reconstructed, the pulse becomes enhanced and represents an incremental improvement in comparison to the original signal. At this point, a parent and child relationship is established where the parent is the locus and the children are the multiple digital pulses. The parent of the re-sorted signal model is regenerated from the coded coefficient collection in the pulse reconstruction module  1014  into the transformed pulse  1016 . Once the transformed pulse  1016  has been reconstructed it is transmitted by the pulse reconstruction module  1014  to the reverse sub-pulse transform  1018 . The reverse sub-pulse transform  1018  receives the transformed pulse  1016 , in which information is derived from the header of the incoming coefficient transmission that provides the amplitude averages collected during the coding sequence. These are applied to the transformed pulse  1016  once the inverse transform process in the reverse sub-pulse transform  1018  has completed producing 1 to N number of pulses  1020 . The reverse sub-pulse transform  1018  transmits the 1 to N pulses  1020  to the pulse combination module  1022 . It is in the pulse combination module  1022  that the average intensities and the high and low-pass filter coefficients are used to recover the standing pulse  1024 . Once the standing pulse  1024  has been produced, the pulse combination module  1022  transmits the standing pulse to the reverse clarification transform  1026 . The standing pulse  1024  is then re-sampled using the transform, which returns the standing pulse  1024  values into their original signal intensity, which is the reconstructed signal  1028  or  1040 .  
         [0055]    The reverse clarification transform  1026  decides on the needs of the pulse and transmits the reconstructed signal  1028  to the enhancement transform bank  1030  or transmits the reconstructed signal  1040  directly to the output module  1042 . The enhancement transform bank  1030  contains a series of transforms used to further excite the signal where it is needed. These transforms include the signal enhancement convolution module  1032 , the intensity balance module  1036 , and may include others. Upon full reconstruction, the enhancement transform bank  1030  transmits the recovered signal  1038  to the output module  1042 . At this point the reconstructed signal  1042  may be left as is or returned to another form more suitable to the targeted device. This resulting data set, the presentation signal  912 , is then fully delivered to the end-user presentation apparatus  914  (i.e., an electronic device) for general use. At this point, memory allocated for the reconstruction process is released and the presentation signal  912  is available to be seen and/or heard.  
         [0056]    Although an exemplary embodiment of the present invention has been illustrated in the accompanied drawings and described in the foregoing detailed description, it will be understood that the invention is not limited to the embodiments disclosed, but is capable of numerous rearrangements, modifications, and substitutions without departing from the spirit of the invention as set forth and defined by the following claims.