The effects of aperture jitter and clock jitter in wideband ADCs
Computer Standards & Interfaces
IEEE Transactions on Signal Processing
Improved discrete definition of quadratic time-frequency distributions
IEEE Transactions on Signal Processing
ISAR imaging of maneuvering targets based on the range centroid doppler technique
IEEE Transactions on Image Processing
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Many commonly used time-frequency distributions are members of the Cohen (1989) class. This class is defined for continuous signals, and since time-frequency distributions in the Cohen class are quadratic, the formulation for discrete signals is not straightforward. The Cohen class can be derived as the class of all quadratic time-frequency distributions that are covariant to time shifts and frequency shifts. We extend this method to three types of discrete signals to derive what we call the discrete Cohen classes. The properties of the discrete Cohen classes differ from those of the original Cohen class. To illustrate these properties, we also provide explicit relationships between the classical Wigner distribution and the discrete Cohen classes