Circularly Shifting Discrete Chirp-Fourier Transform

Guo Yong-ming; Shui Peng-lang

doi:10.3724/SP.J.1146.2007.01475

Volume 30 Issue 8

Jan. 2011

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Guo Yong-ming, Shui Peng-lang. Circularly Shifting Discrete Chirp-Fourier Transform[J]. Journal of Electronics & Information Technology, 2008, 30(8): 1882-1885. doi: 10.3724/SP.J.1146.2007.01475

Citation:

Guo Yong-ming, Shui Peng-lang. Circularly Shifting Discrete Chirp-Fourier Transform[J]. Journal of Electronics & Information Technology, 2008, 30(8): 1882-1885. doi: 10.3724/SP.J.1146.2007.01475

Guo Yong-ming, Shui Peng-lang. Circularly Shifting Discrete Chirp-Fourier Transform[J]. Journal of Electronics & Information Technology, 2008, 30(8): 1882-1885. doi: 10.3724/SP.J.1146.2007.01475

Citation:

Guo Yong-ming, Shui Peng-lang. Circularly Shifting Discrete Chirp-Fourier Transform[J]. Journal of Electronics & Information Technology, 2008, 30(8): 1882-1885. doi: 10.3724/SP.J.1146.2007.01475

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Circularly Shifting Discrete Chirp-Fourier Transform

doi: 10.3724/SP.J.1146.2007.01475

Received Date: 2007-09-14
Rev Recd Date: 2007-12-29
Publish Date: 2008-08-19

Abstract

Abstract

The Discrete Fourier Transform (DFT) has circular shift properties. Similarly, the Discrete Chirp- Fourier Transform (DCFT) motivated by DFT also has circular shift properties. This paper introduces the circular shift of DCFT and proposes a new method to detect chirp. The new method utilities not only the chirp characteristic, but also the noise characteristic, i.e., chirp rates and initial frequencies of chirp are invariant in time, whereas chirp rates and initial frequencies of noise are random in time, therefore, it has better detection performance. Comparing with DCFT, some experimental results are provided to demonstrate the better performance of the detection method proposed by this paper in low Signal-to-Noise ratio (SNR) environments.

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References(1)

References

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