Download The Fourier Transform and its Applications by Brad Osgood, The Fourier transform as a tool for solving physical issues. fourier series, the Fourier transform of continuous and discrete signals and its properties. The dirac delta, distributions, and generalized transforms. Convolutions and correlations and applications; probability distributions, sampling theory, filters, and analysis of linear systems. The discrete Fourier transform and the FFT formula. multidimensional Fourier transform and use in imaging. more applications to optics, crystallography. stress is on relating the theoretical principles to solving practical engineering and science issues. Prerequisites: math through ODEs, basic linear algebra, Comfort with sums and discrete signals, fourier series at the amount of 102A.


1 Fourier Series

2 Fourier Transform

3 Convolution

4 Distributions and Their Fourier Transforms

5 III, Sampling, and Interpolation

6 Discrete Fourier Transform

7 Linear Time-Invariant Systems

8 n-dimensional Fourier Transform

A Mathematical Background

B Some References