Adaptive fractional Fourier domain filtering

L. Durak; S. Aldirmaz

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Adaptive fractional Fourier domain filtering

机译：自适应分数阶傅里叶域滤波

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摘要

A novel adaptive filtering scheme based on fractional Fourier transform (FrFT) is introduced and characterized. As a generalization of the ordinary Fourier transform, FrFT is a powerful analysis tool to describe signals with chirp-type components. We show that in case of linear frequency modulated (LFM) signals fractional Fourier domain adaptive filtering schemes provide less error and faster convergence. The adaptation algorithm is employed in an active noise control system application with various LFM signals and a real multi-component signal. Simulation results present that the adaptation performance in FrFT-domain adaptive filtering is superior compared to time-domain adaptation.

机译：介绍并描述了一种基于分数阶傅里叶变换（FrFT）的自适应滤波方案。作为普通傅立叶变换的概括，FrFT是一种功能强大的分析工具，用于描述具有chi型分量的信号。我们表明，在线性调频（LFM）信号的情况下，分数阶傅里叶域自适应滤波方案可提供更少的误差和更快的收敛速度。自适应算法用于具有各种LFM信号和实际多分量信号的有源噪声控制系统应用中。仿真结果表明，FrFT域自适应滤波的自适应性能优于时域自适应。

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来源
《Signal processing》 |2010年第4期|1188-1196|共9页
作者
L. Durak; S. Aldirmaz;
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作者单位

Department of Electronics and Communications Engineering, Yildiz Technical University, Yildiz 34349, Istanbul, Turkey;

Department of Electronics and Communications Engineering, Yildiz Technical University, Yildiz 34349, Istanbul, Turkey;

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正文语种 eng
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active noise control; adaptive filters; fractional fourier domains; fractional fourier transform; least mean squares algorithms;

机译：主动噪声控制;自适应滤波器分数阶傅里叶域分数阶傅里叶变换最小均方算法;

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2. Denoising of measured lightning electric field signals using adaptive filters in the fractional Fourier domain [J] . Herbert E. Rojas, Camilo A. Cortes Measurement . 2014,第Null期

机译：使用分数阶傅里叶域中的自适应滤波器对测得的雷电电场信号进行去噪
3. EVERY FOURIER OPTICAL SYSTEM IS EQUIVALENT TO CONSECUTIVE FRACTIONAL-FOURIER-DOMAIN FILTERING [J] . Ozaktas HM., Mendlovic D. Applied optics . 1996,第17期

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4. Adapted filters in the domain of the fractional fourier transform [C] . Molina Sandra E., Matos L., Torres C. O. 17th Symposium of Image, Signal Processing, and Artificial Vision. . 2012

机译：分数阶傅立叶变换域中的自适应滤波器
5. Adaptive log domain filters using floating gate transistors. [D] . Zhai, Yiming. 2004

机译：使用浮栅晶体管的自适应对数域滤波器。
6. Dual paths cryptosystem based on tilt Fresnel diffraction using non-spherical mirror and phase modulation in expanded fractional Fourier transform domain [O] . Hang Chen, Zhengjun Liu, Camel Tanougast, -1

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7. Repeated fractional Fourier domain filtering is equivalent to repeated time and frequency domain filtering [O] . Ozaktas, H. M. 1996

机译：重复的分数阶傅里叶域滤波等效于重复的时域和频域滤波

Adaptive fractional Fourier domain filtering

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