在傅立葉估測問題中, 如果傅立葉頻譜資料數據有限, 則存在無限多解, 會發生估測失真的現象.
這個問題可以使用先備知識 (Prior Knowledge) 求得更精確的答案, 而先備離散傅立葉轉換 …

This paper establishes a relation between the least mean square (LMS) algorithm and the
discrete fractional Fourier transform (DFRFT). It is shown that the LMS algorithm could …

We propose a new discrete fractional Fourier transform (DFrFT) scheme based on
eigentransforms of the centered DFT matrix and present its application to chirp parameter …

The fractional Fourier transform has found many applications in signal and image
processing and optics. An iterative algorithm for signal recovery from partial fractional …

The fast Fourier transform (FFT) and the fast fractional Fourier transform (FRFT) are used
widely in signal processing for uniformly sampled signals. However, in many applications …

The fractional powers of the Fourier transform operator is a generalization of the Fourier
transform. Although there are many works on the derivation of sampling about fractional …

The fractional Fourier transform (FRFT), a generalization of the Fourier transform, has
proven to be a powerful tool in optics and signal processing. Most existing sampling theories …

In this work, we present a novel linear algebraic approach to certain signal interpolation
problems involving the fractional Fourier transform. These problems arise in wave …

Parameter estimation theorems for LFM signals have been developed due to the
advantages of fractional Fourier transform (FrFT). The traditional estimation methods in the …

The fractional Fourier transform is a ubiquitous signal processing tool in basic and applied
sciences and generalizes the Fourier transform. The convolution property of the discrete …