Title Fourier Transform.

Catalog description

This course provides a rigorous study of the concepts and applications of the Fourier Transform. The topics include: The Fourier transform as a tool for solving physical problems. 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 Fast Fourier Transform (FFT) algorithm. Multidimensional Fourier transform and use in imaging. Further applications to optics, crystallography. Emphasis is on relating the theoretical principles to solving practical engineering and science problems. Prerequisites: MATH 2318 Linear Algebra and MATH 2320 Differential Equation.