Digital Signal Processing, a User's Guide

Digital Signal Processing, a User's Guide - Digital Signal...

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Unformatted text preview: Digital Signal Processing: A Users Guide Collection Editor: Douglas L. Jones Digital Signal Processing: A Users Guide Collection Editor: Douglas L. Jones Authors: Richard Baraniuk Benjamin Fite Anders Gjendemsj Michael Haag Don Johnson Douglas L. Jones Robert Nowak Ricardo Radaelli-Sanchez Justin Romberg Clayton Scott Ivan Selesnick Melissa Selik Online: < http://cnx.org/content/col10372/1.2/ > C O N N E X I O N S Rice University, Houston, Texas This selection and arrangement of content as a collection is copyrighted by Douglas L. Jones. It is licensed under the Creative Commons Attribution 2.0 license (http://creativecommons.org/licenses/by/2.0/). Collection structure revised: August 29, 2006 PDF generated: March 19, 2010 For copyright and attribution information for the modules contained in this collection, see p. 312. Table of Contents Preface for Digital Signal Processing: A User's Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 Background, Review, and Reference 1.1 Discrete-Time Signals and Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Systems in the Time-Domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Discrete-Time Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Review of Linear Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . 13 1.5 Orthonormal Basis Expansions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 1.6 Fourier Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 1.7 Continuous-Time Fourier Transform (CTFT) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 1.8 Discrete-Time Fourier Transform (DTFT) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 1.9 DFT as a Matrix Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 1.10 Sampling theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1.11 Z-Transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 1.12 Random Signals and Processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 Solutions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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This note was uploaded on 10/16/2010 for the course ECE 380 taught by Professor Baltazar during the Spring '10 term at Rice.

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