完全成熟的IV型分数阶离散傅里叶变换与简单的分数阶离散傅里叶变换

2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS) Pub Date : 2012-09-05 DOI:10.1109/MWSCAS.2012.6292220

M. Hanna

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摘要

IV型的分数阶离散傅里叶变换(FDFT-IV)是IV型离散傅里叶变换的推广。本文给出了一个完备的FDFT-IV的定义，它需要DFT-IV矩阵g的标准正交特征向量的可用性，这个定义被证明优于简单的定义，它只是信号，它的DFT-IV及其翻转版本的线性组合。

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Fully fledged versus simple fractional discrete Fourier transform of type IV

The fractional discrete Fourier transform of type IV (FDFT-IV) is a generalization of the discrete Fourier transform of type IV (DFT-IV). The paper presents a fully-fledged definition for the FDFT-IV which necessitates the availability of orthonormal eigenvectors of the DFT-IV matrix G. This definition is shown to outperform the simple definition which is just a linear combination of the signal, its DFT-IV and their flipped versions.

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2012 IEEE 55th International Midwest Symposium on Circuits and Systems (MWSCAS)

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