SIGNAL REPRESENTATION QUALITY ENHANCEMENT BY APPLYING MATHEMATICAL OPERATIONS TO TIME-FREQUENCY DISTRIBUTIONS
Abstract
Time-frequency distributions represent an efficient tool in the analyzing and processing of nonstationary signals. Some characteristics of nonstationary signals (such as frequency modulation or the property of multi-components) result in the appearance of undesirable interference terms (cross-terms) which do not exist in an ideal time-frequency representation. In this paper, several mathematical operations are used in order to enhance the quality of time-frequency distributions representation. Mathematical operations applied to the spectrogram have led to an improvement in the concentration of the signal energy about its instantaneous frequency. The multiplication of the Wigner-Ville distribution by the Pseudo Wigner-Ville distribution, on the other hand, is proposed as a method for cross-terms suppression, and its performance is numerically compared to that of the Wigner-Ville distribution masked by the spectrogram.Downloads
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