Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Data Structures and Algorithm Analysis in C++ (3rd Edition)
Data Structures and Algorithm Analysis in C++ (3rd Edition)
Adaptive optimal kernel smooth-windowed wigner-ville distribution for digital communication signal
EURASIP Journal on Advances in Signal Processing
Adaptive time-frequency analysis based on autoregressive modeling
Signal Processing
Use of the cross Wigner-Ville distribution for estimation ofinstantaneous frequency
IEEE Transactions on Signal Processing
A signal-dependent time-frequency representation: optimal kerneldesign
IEEE Transactions on Signal Processing
Localization of the complex spectrum: the S transform
IEEE Transactions on Signal Processing
Analytic signal generation-tips and traps
IEEE Transactions on Signal Processing
Adaptive windowed cross Wigner-Ville distribution as an optimum phase estimator for PSK signals
Digital Signal Processing
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Time-varying signals such as frequency shift-keying (FSK) signals can be characterized by the instantaneous frequency (IF). From the estimated IF, it is possible to derive the signal modulation parameters such as the subcarrier frequencies and the symbol duration. If accurate time-frequency representation (TFR) is obtained, the cross time-frequency distribution (XTFD) provides an optimum solution to IF estimation over quadratic time-frequency distribution (QTFD). Thus, an adaptive XTFD is proposed, the adaptive smoothed windowed cross Wigner-Ville distribution (ASW-XWVD), for which the kernel parameters are estimated according to the signal characteristics and the choice of reference signal. The IF is estimated from the peak of the TFR and comparison is performed using the S-transform. The variance in the IF estimation using the proposed ASW-XWVD meets the Cramer-Rao lower bound (CRLB) at minimum signal-to-noise ratio (SNR) of -3dB, while the S-transform never meets the CRLB, even at SNR of 12dB. For practical applications, the ASW-XWVD is applied to the FSK signal in the high frequency (HF) band and is able to provide accurate TFR and IF estimates at SNR of 14dB.