Harmonic Algorithms of Signal Simulation within Correlation Theory

The article presents efficient simulation algorithms of deterministic signals which were proposed within the correlation theory in order to improve the quality of development and research processes of different purpose real-time systems by mathematical modeling methods. Spectral representation of continuous and discrete signals in Fourier and Hartley harmonic bases was laid in the foundation of algorithms development. In our research we obtained an analytical relationship of the spectra in these bases with function of spectral power density that determines a simple tuning procedure of the proposed simulation algorithms on specified spectral-correlation properties. As a result, we suggest an original method of transformation from deterministic signal simulation algorithms to simulation algorithms of stationary ergodic pseudorandom signals in the same bases with saving their tuning procedures. We performed computing complexity evaluation of the proposed algorithms and obtained their fast modifications.

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