Differential algorithms of digital signal processing

A general approach to constructing differential algorithms of digital signal processing (DSP) which contain the corresponding transformation functions is provided. As an example the discrete Fourier transform algorithms, implemented using this approach, and some derivative algorithms—Hartley transform, short-time Fourier transform and lapped transform, cosine transform, and Mellin, Hilbert and wavelet transforms are presented. The use of these algorithms allows increasing efficiency and processing power of DSP