UT EE 445S - Homework 2 Filter Analysis, Simulation, and Design (6 pages)

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Homework 2 Filter Analysis, Simulation, and Design



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Homework 2 Filter Analysis, Simulation, and Design

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Pages:
6
School:
University of Texas at Austin
Course:
Ee 445s - Real-Time Digital Signal Processing Laboratory

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Fall 2014 EE 445S Real Time Digital Signal Processing Laboratory Prof Evans Homework 2 Filter Analysis Simulation and Design Assigned on Friday September 26 2014 Due on Friday October 3 2014 11 00am sharp in lecture Homework submitted after 11 00am will be subject to a penalty of 2 points per minute late Reading Johnson Sethares and Klein chapters 1 2 3 and 7 and Appendices A and F This assignment is intended to continue our review of key concepts from Linear Systems and Signals and introduce the simulation and design of discrete time linear time invariant filters Here are key sections from Lathi s Linear Systems and Signals book 2nd ed and Oppenheim Willsky s Signals and Systems book 2nd ed with respect to material in EE 445S O W Lathi Topic 1 6 1 7 System properties 1 3 1 4 1 4 Basic continuous time signals 3 2 2 4 4 Fundamental theorem for continuous time linear systems 1 3 1 4 3 3 Basic discrete time signals 3 2 3 8 3 Fundamental theorem for discrete time linear systems 9 7 2 2 6 Stability of continuous time filters 10 7 2 3 10 Stability of discrete time filters 10 1 10 3 5 1 Z transforms 10 5 5 2 Properties of the z transform 10 7 3 10 7 4 5 3 Transfer functions 10 8 5 4 Realizations of transfer functions 4 3 4 4 7 3 Fourier transform properties 7 1 8 1 Sampling theorem Please see Appendix F and slide 5 13 in the course reader for the fundamental theorem O W covers a slightly different version of the fundamental theorem in which a complex exponential is the input to a linear time invariant system Lathi also has that version as well Other signals and systems textbooks should contain equivalent material You may use any computer program to help you solve these problems check answers etc Please submit any MATLAB code that you have written for the homework solution In the course reader Appendix D gives a brief introduction to MATLAB The MATLAB code in the Johnson Sethares and Klein book also runs in LabVIEW Mathscript and GNU Octave As stated on the course



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