A Fast Algorithm for the Chirp Rate Estimation

Author

Cao, Jihai ; Zhang, Ning ; Song, Lin

Author_Institution

Harbin Inst. of Technol., Harbin

fYear

2008

fDate

23-25 Jan. 2008

Firstpage

45

Lastpage

48

Abstract

A fast algorithm for the chirp rate estimation is presented in this paper. By the computation of the cubic phase transform (CPT) of the signal, it is shown that the CPT is concentrated along the frequency rate law of the signal, and the peak of the CPT yields the estimate of the chirp rate. The proposed algorithm is fast in that it requires only one-dimensional (1-D) maximizations. The asymptotic statistical result is derived for the chirp rate estimation, and the computer simulation demonstrates that, when the input signal-to-noise ratio (SNR) is higher than -2 dB, the simulation results and the theoretical analyses are well matched, and the mean-square error (MSE) approaches optimality as the SNR tends to infinity.

Keywords

chirp modulation; frequency estimation; frequency modulation; optimisation; statistical analysis; transforms; SNR; asymptotic statistical analysis; chirp rate estimation; chirp rate estimation algorithm; computer simulation; cubic phase transform; frequency rate law; mean-square error approach; one-dimensional maximization; signal-to-noise ratio; Analytical models; Chirp; Computational modeling; Computer simulation; Frequency estimation; H infinity control; Phase estimation; Signal analysis; Signal to noise ratio; Yield estimation; CPT; Chirp rate; MSE; asymptotic statistical result;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronic Design, Test and Applications, 2008. DELTA 2008. 4th IEEE International Symposium on

Conference_Location

Hong Kong

Print_ISBN

978-0-7695-3110-6

Type

conf

DOI

10.1109/DELTA.2008.107

Filename

4459507