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Comments on discrete chirp-Fourier transform and its application to chirp rate estimation [with reply]

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4 Author(s)
Guo, Xin ; Res. Center of Electron. Eng., Nanjing Univ. of Sci. & Technol., China ; Hong-Bo Sun ; Sheng-Li Wang ; Guo-Sui Liu

This comment points out that the sample rate of the discrete chirp-Fourier transform (DCFT) proposed by Xia (see ibid., vol.48, p. 3122-33, 2000) is not sufficient to avoid severe "picket-fence" effect and causes some restrictions for its practical applications. By increasing the sample rate and modifying the DCFT definition, a new robust DCFT is proposed. Xia (see ibid., vol.50, no.12, p.3116, 2002) replies by first correcting an error on the analog-to-discrete parameter conversions of a chirp signal. Xia also add that when the chirp rate detection resolution is increased, it is more robust to the chirp rate error. On the other- hand, what is sacrificed by doing so is that the magnitudes of the sidelobes of the transform are increased, which may limit its capability of detecting chirps in a multicomponent or low SNR signal. Therefore, which DCFT needs to be used has to depend on the practical application.

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Signal Processing, IEEE Transactions on  (Volume:50 ,  Issue: 12 )