EEE 550 Transform Theory and Applications

Text: Notes on Linear Signal Analysis by D. Cochran

Outline

I. Linear signal spaces

A. Norms, inner products, Banach and Hilbert spaces
B. Orthonormal bases, Riesz bases, and frames
C. Linear signal analysis and representation

II. Integral transform theory

A. Functions of real variables
B. Measure and integration
C. Fourier analysis
D. Applications in signal processing

III. Signals on the complex domain

A. Cauchy's theorem and complex integration
B. Computation and inversion of transforms
C. Paley-Wiener theory
D. Applications in control and signal processing

IV. Special topics

A. Wavelet analysis
B. Time-frequency transforms

 

Return to Foundations Courses