Discrete-time estimation of second-order statistics of generalized almost-cyclostationary processes
IEEE Transactions on Signal Processing
Time-delay estimation of chirp signals in the fractional Fourier domain
IEEE Transactions on Signal Processing
Asymptotic mean and variance of Gini correlation for bivariate normal samples
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
On uncertainty principle for the linear canonical transform of complex signals
IEEE Transactions on Signal Processing
Speech recovery based on the linear canonical transform
Speech Communication
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In this paper, by investigating the definitions of the fractional power spectrum and the fractional correlation for the deterministic process, we consider the case associated with the random process in an explicit manner. The fractional power spectral relations for the fractional Fourier domain filter are derived, and the expression for the fractional power spectrum in terms of the fractional correlation is obtained. In addition, the definitions and the properties of the fractional white noise and the chirp-stationary process are presented. Simulation results verify the theoretical derivations and demonstrate the potential applications, such as detection and parameter estimation of chirp signals, fractional power spectral estimation and system identification in the fractional Fourier domain.