Pikh V. Processors of Spectral Cosine Fourier Transformation Based on Different Correlation Functions and Theoretical and Numerical Bases

The object of research is processes of digital signal processing specialized processors of spectral transformation in Haar-Krestenson's basis; the subject of research is methods and tools for signal processing based on discrete spectral transformations based on various correlation functions and theoretical and numerical bases; the novelty is the first time elaborated the method of high-speed analog-to-digital signal conversion in Haar-Krestenson's code system, which in comparison with known analogues allows to parallelize formation codes residues in Haar's basis by dialing inter-simple modules and does not require Rademacher-Krestenson's additional between the bases transformations for high-performance implementation of modular multiplication operations and addition of digital data in the basic correlation module of spectral special processor; the first time elaborated the method of discrete cosine Fourier's transformation based on adaptation characteristics of orthogonal basis functions to the experimental realization of covariance autocorrelation function, which, in comparison with known methods allowed to reduce the number and simplify complexity of computing operations of spectral signal processing algorithm. The method of forming digital values of orthogonal basis functions Fourier's trasformation by rearrangement their codes in the remaining classes system was improved, that simplified the spectral conversion algorithm and enhanced its performance; the method of calculating the value of spectrum got further development for one basic function by parallelization of operations multiplying existing and detained at the time remains of digital readouts input process in the system of inter-simple modules, multiplication obtained residual products to the remnants of the respective orthogonal basic function and their accumulating adding at the output of one spectrum point. In comparison with performance of similar operations on binary codes in Rademacher's basis, it allowed to parallelize computing processes and increase the speed of determining spectrum.