The Fourier Transform and Its Application

The Fast Fourier Transform and Its Applications

The advent of the fast Fourier transform method has greatly extended our ability to implement Fourier methods on digital computers. A description of the alogorithm and its programming is given here and followed by a theorem relating its operands, the finite sample sequences, to the continuous functions they often are intended to approximate. An analysis of the error due to discrete sampling ove...

The X-ray Transform and its Application in Nano Crystallography

In this article a review on the definition of the X- ray transform and some ofits applications in Nano crystallography is presented. We shall show that the X- raytransform is a special case of the Radon transform on homogeneous spaces when thetopological group E(n)- the Euclidean group - acts on ℝ2 transitively. First someproperties of the Radon transform are investigated then the relationship ...

The comb signal and its Fourier transform

In this paper, we study the aperiodic comb signal from the point of view of the Fourier Transform. The comb is very important in the theory of ideal sampling. The knowledge of its properties is crucial for the establishment of suitable interpolation schemes. Here, we present sufficient conditions so that the Fourier Transform of an aperiodic comb is an aperiodic comb. We use this result to prop...

A Fast Fourier Transform Technique and Its Application to Fourier Spectroscopy

anti-leakage fourier transform (alft) and its application for seismic data reconstruction

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