Implementation of a higher order time-frequency representation based on windowed convolutions
Keywords:
Digital signal processing, Non-stationary signals, Time-frequency signal analysisAbstract
The problem of the cross-terms reduction in a higher order time-frequency representation is considered in this paper. The analyzed representation is originally proposed to considerably improve the concentration of non-stationary signals in the time-frequency plane. However, in the multicomponent signal analysis, the high order of the representation leads to the appearance of undesirable cross-terms. The analyzed representation is developed based on the approximation of the first derivative of the signal phase. It ideally concentrates signals with polynomial phase up to the fourth order. The cross-terms reduction is based on the implementation using windowed frequency convolutions, a concept borrowed from S-method framework.
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