Abstract
General laws of the controlled multifunctional processing based on nonlinear (quadratic and cubic) time-frequency distributions of finite duration arbitrarily shaped causal signals that do not coincide in time and that have different carrier frequencies are presented. These distributions are compared to the time-frequency representations used in the signal analysis based on the Wigner distribution, the uncertainty function, and other quadratic distributions. Examples of the real-time realization of controlled multifunctional processing of causal signals that is performed on the basis of quadratic and cubic distributions are given. These examples include direct and inverse Fourier transforms, convolution, spectral analysis with varied time and frequency scales, delay, compression, time-domain inversion, and other functions.
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Original Russian Text © I.S. Ryzhak, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 8, pp. 954–967.
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Ryzhak, I.S. Controlled multifunctional processing of causal signals on the basis of nonlinear (quadratic and cubic) time-frequency distributions. J. Commun. Technol. Electron. 51, 895–908 (2006). https://doi.org/10.1134/S1064226906080067
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DOI: https://doi.org/10.1134/S1064226906080067