Lecture16 - EE313 Linear Systems and Signals Fall 2010 Initial conversion of content to PowerPoint by Dr Wade C Schwartzkopf Prof Brian L Evans

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: EE313 Linear Systems and Signals Fall 2010 Initial conversion of content to PowerPoint by Dr. Wade C. Schwartzkopf Prof. Brian L. Evans Dept. of Electrical and Computer Engineering The University of Texas at Austin Sampling Theorem 16 - 2 [ ] ( 29 s T n s n s = Sampling: Time Domain • Many signals originate as continuous-time signals, e.g. conventional music or voice • By sampling a continuous-time signal at isolated, equally-spaced points in time, we obtain a sequence of numbers n ∈ {…, -2, -1, 0, 1, 2,…} T s is the sampling period. Sampled analog waveform ( 29 ( 29 ∑ ∞-∞ =- = n s sampled T n t t s t s ) ( δ impulse train s ( t ) t T s T s ( 29 t s sampled 16 - 3 Sampling: Frequency Domain • Replicates spectrum of continuous-time signal At offsets that are integer multiples of sampling frequency • Fourier series of impulse train where ϖ s = 2 π f s • Example ( 29 ) (2 cos 2 ) ( cos 2 1 ) ( . . . + + + =- = ∑ ∞-∞ = t T t T T T n t t s s s s s n s T s ϖ ϖ...
View Full Document

This note was uploaded on 02/16/2011 for the course ECE 313 taught by Professor Evans during the Spring '11 term at University of Texas at Austin.

Page1 / 8

Lecture16 - EE313 Linear Systems and Signals Fall 2010 Initial conversion of content to PowerPoint by Dr Wade C Schwartzkopf Prof Brian L Evans

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online