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LabVIEW Signal Processing by Mahesh L. Chugani, Abhay R. Samant, Michael Cerna

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Appendix A. Mathematical Background

Overview

In this appendix, we will discuss some of the mathematical techniques that are commonly used in this book. This background material will help you review these techniques and will make reading the material in the book much easier.

Laplace Transforms

The Fourier transform is a domain transformation technique for analyzing continuous-time signals and systems. It is a method of representing a time signal f(t) as a continuous summation of exponential functions of the form ejωt. The Fourier transform exists only for those signals that are absolutely integrable. For example, the Fourier transform cannot handle infinitely rising exponential functions. To extend the transform technique to such signals, a convergence ...

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