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高斯線調(diào)頻小波變換及參數(shù)優(yōu)化

尉宇,  孫德寶,  岑翼剛

尉宇, 孫德寶, 岑翼剛. 高斯線調(diào)頻小波變換及參數(shù)優(yōu)化[J]. 電子與信息學(xué)報(bào), 2005, 27(9): 1398-1403.
引用本文: 尉宇, 孫德寶, 岑翼剛. 高斯線調(diào)頻小波變換及參數(shù)優(yōu)化[J]. 電子與信息學(xué)報(bào), 2005, 27(9): 1398-1403.
Wei Yu, Sun DeBao, Cen YiGang. Gaussian Chirplet Transform and the Optimization of its Parameters[J]. Journal of Electronics & Information Technology, 2005, 27(9): 1398-1403.
Citation: Wei Yu, Sun DeBao, Cen YiGang. Gaussian Chirplet Transform and the Optimization of its Parameters[J]. Journal of Electronics & Information Technology, 2005, 27(9): 1398-1403.

高斯線調(diào)頻小波變換及參數(shù)優(yōu)化

Gaussian Chirplet Transform and the Optimization of its Parameters

  • 摘要: 線調(diào)頻小波變換(CT)作為小波變換(WT)的一種推廣,成了信號(hào)處理中的研究熱點(diǎn).該文推導(dǎo)出高斯線調(diào)頻小波變換(GCT)的短時(shí)Fourier變換(STFT)計(jì)算形式.并利用分?jǐn)?shù)階Fourier變換和廣義的時(shí)寬-帶寬積來(lái)優(yōu)化GCT的參數(shù).與Wingner-rille分布(WVD)、短時(shí)Fourier變換(STFT)進(jìn)行比較分析.仿真結(jié)果表明優(yōu)化的GCT有很好的時(shí)頻聚集性.
    Abstract: The Chirplet Transform（CT） have being become one of the most popular field in signal processing, which is extend from the Wavelet Transform（WT）. This paper calculate the Gaussian Chirplet Transform（GCT） by the Short-Time Fourier Transform（STFT）. At the same time, its parameters is optimized by making use of FRFT and Generalized Time-Bandwidth Product（GTBP）. Compared with WVD and STFT, GCT has been show excellent performance for the time-frequency concentration.
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  • Folland G B. Harmonic Analysis in Phase Space. Princeton,NJ:Princetin Univ. Press, 1989:345-367.[2]Mann S, Haykin S. The Chirplet Transform: Physical Considerations[J].IEEE Trans. on Signal Processing.1995, 43(4):2745-2761[3]張賢達(dá),保錚.非平穩(wěn)信號(hào)分析與處理.國(guó)防工業(yè)出版社,1999:307-322.[4]Durak L, Arykan O. Short-Time Fourier Transform: Two Fundamental Properties and an Optimal implementation[J].IEEE Trans. on Signal Processing.2003, 51(5):1231-1242[5]Almeida L B. The Fractional Fourier Transform and TimeFrequency Representation[J].IEEE Trans. on Signal Processing.1994, 42(10):3084-3091[6]Ozaktas H M. Digital Computation of the Fractional Fourier Transform[J].IEEE Trans. on Signal Processing.1996, 44(9):2141-2150[7]Stankovic L, Alieva T. Time -Frequency Signal Analysis Based on the Windowed Fractional Fourier Transform[J].Signal Processing.2003, 83(11):2459-[8]Thomson D J. Spectrum Estimation and Harmonic Analysis[J].Proc IEEE.1982, 70:1055-1096[9]鄒紅,保錚.用于多分量線性調(diào)頻信號(hào)的自適應(yīng)核分布分析[J].電子與信息學(xué)報(bào).2002,24(3):314-319瀏覽[10]Jones D L, Parks T W A. High Resolution Data-Adaptive Time-Frequency Representation, IEEE Trans. on Signal Processing, 1990, 38(9): 2127.
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出版歷程
  • 收稿日期:  2004-06-23
  • 修回日期:  2005-03-10
  • 刊出日期:  2005-09-19

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