ELG 3125 Chapter Notes - Chapter Transform Table: Joule, Discrete-Time Fourier Transform, Fourier Series

• School: University of Ottawa
• Department: Electrical Engineering
• Course: ELG 3125
• Professor: Martin Bouchard

Document Summary

0 dt jk jk t k k ( )x t. Table of continuous time fourier series (c. t. f. s. ) periodic, Conjugate: x t a k x a t k. Symmetries: if is real: ( )x t ( )x t. Modulation: a real and even : real and odd: x t y t y t. T k k k k k ka real and even a k ka imaginary and odd a a k a k k a k k a b k a b l k l e. 2 a k k n j k a. [ ] d t f s x n. [ ]x n periodic with period n samples (fundamental angular b k. [ ] d t f s y n. Table of discrete time fourier series (d. t. f. s. ) ka. Fourier series coefficients (periodic with period n ) If [ ]x n periodic with k m m n m ka ka elsewhere. [ ] d t f s a k.