Discrete and Continuous Fourier Transforms: Analysis, by Eleanor Chu

By Eleanor Chu

lengthy hired in electric engineering, the discrete Fourier remodel (DFT) is now utilized in a number fields by using electronic desktops and speedy Fourier rework (FFT) algorithms. yet to properly interpret DFT effects, it's necessary to comprehend the center and instruments of Fourier research. Discrete and non-stop Fourier Transforms: research, functions and quick Algorithms offers the basics of Fourier research and their deployment in sign processing utilizing DFT and FFT algorithms.

This obtainable, self-contained booklet presents significant interpretations of crucial formulation within the context of purposes, construction a fantastic starting place for the appliance of Fourier research within the many diverging and regularly evolving parts in electronic sign processing corporations. It comprehensively covers the DFT of windowed sequences, a number of discrete convolution algorithms and their functions in electronic filtering and filters, and lots of FFT algorithms unified less than the frameworks of mixed-radix FFTs and major issue FFTs. loads of graphical illustrations and labored examples support clarify the recommendations and relationships from the very starting of the textual content.

Requiring no earlier wisdom of Fourier research or sign processing, this publication offers the foundation for utilizing FFT algorithms to compute the DFT in various software areas.

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