The main requirement for methods and algorithms for Digital Signal Processing (DSP) is to increase computing speed. Signal processing in the spectral region using numerical methods, Fourier analysis and processing of the signal spectrum. In this paper, the authors considered the steps of the method of accelerated digital signal processing algorithms with modern software tools parallel processing. Comparing the experimental data, they obtained the processing of parallelizing OpenMP technology and Cilk Plus. As, a hardware implementation architecture are analyzed multi-core processors.