Viterbi algorithm for chirp-rate and instantaneous frequency estimation

An instance of the Viterbi algorithm has been applied to the cubic phase function and chirp-rate estimation. The proposed algorithm has shown excellent performance for high noise environment. The obtained chirp-rate estimate is used in the instantaneous frequency estimation. The proposed instantaneous frequency estimator gives superior performance with respect to the state-of-the-art techniques for signals with non-linear instantaneous frequency.

[1]  Ljubisa Stankovic,et al.  SAR imaging of moving targets using polynomial Fourier transform , 2008 .

[2]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. II. A/lgorithms and applications , 1992, Proc. IEEE.

[3]  Van Nostrand,et al.  Error Bounds for Convolutional Codes and an Asymptotically Optimum Decoding Algorithm , 1967 .

[4]  Ljubisa Stankovic,et al.  Local polynomial Wigner distribution , 1997, Signal Process..

[5]  LJubisa Stankovic,et al.  Instantaneous frequency estimation using higher order L-Wigner distributions with data-driven order and window length , 2000, IEEE Trans. Inf. Theory.

[6]  Anna Scaglione,et al.  Product high-order ambiguity function for multicomponent polynomial-phase signal modeling , 1998, IEEE Trans. Signal Process..

[7]  Thayananthan Thayaparan,et al.  SAR Imaging of Moving Targets using Polynomial FT , 2011 .

[8]  F. Hlawatsch,et al.  Linear and quadratic time-frequency signal representations , 1992, IEEE Signal Processing Magazine.

[9]  Cornel Ioana,et al.  Adaptive Algorithm for Chirp-Rate Estimation , 2009, EURASIP J. Adv. Signal Process..

[10]  LJubisa Stankovic,et al.  Instantaneous frequency estimation using the Wigner distribution with varying and data-driven window length , 1998, IEEE Trans. Signal Process..

[11]  P. O'Shea.  A new technique for instantaneous frequency rate estimation , 2002, IEEE Signal Processing Letters.

[12]  Cornel Ioana,et al.  Time-frequency detection using Gabor filter bank and Viterbi based grouping algorithm , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[13]  LJubisa Stankovic,et al.  An algorithm for the Wigner distribution based instantaneous frequency estimation in a high noise environment , 2004, Signal Process..

[14]  Boaz Porat,et al.  Digital Processing of Random Signals: Theory and Methods , 2008 .

[15]  Igor Djurovic,et al.  Micro-Doppler-based target detection and feature extraction in indoor and outdoor environments , 2008, J. Frankl. Inst..

[16]  LJubisa Stankovic,et al.  Adaptive Local Polynomial Fourier Transform in ISAR , 2006, EURASIP J. Adv. Signal Process..

[17]  Messaoud Benidir,et al.  Statistical analysis of polynomial phase signals affected by multiplicative and additive noise , 1999, Signal Process..

[18]  Jr. G. Forney,et al.  The viterbi algorithm , 1973 .