A convolving element which processes sixteen 4-bit samples but may be expanded to convolve both a larger number of samples and a larger number of bits per sample. The expansion occurs through interconnections of identical convolving elements. A selective inversion element inverts particular ones of the convolved samples under the control of a previously loaded binary code. The selective inversion element additionally minimizes interconnections and therefore input/output terminals of the convolving element, by permitting carries for each sample convolved to be accumulated rather than to propagate to more significant elements.
A modular digital signal processor system for calculating "wavelet-analysis transformations" and "wavelet-synthesis transformations" of one-dimensional numerical data and multi-dimensional numerical data for solving speech processing and other problems. The system includes one or more "dual-convolver" components, "analyzer-adjunct" components, "synthesizer-adjunct" components, "de-interleaver components" and "interleaver components", and specific configurations of these components for implementing specific functions. Each dual-convolver is capable of loading a finite number of numerical values into its coefficient registers and subsequently performing two convolution operations on input sequences of numerical values to produce an output sequence of numerical values. Two dual-convolvers are configured with an analyzer adjunct or synthesizer adjunct to respectively build a single stage analyzer or synthesizer. Analyzers and synthesizers are configured in conjunction with interleavers and de-interleaver components to build wavelet sub-band processors capable of decomposing one-dimensional sequences of numerical data or multi-dimensional arrays of numerical data into constituent wavelets and to synthesize the original sequences or arrays from their constituent wavelets. Synthesizers are configured with interleavers to build function generators capable of calculating functions including wavelet functions to within any specified degree of detail.
