# Ch3Handouts_2

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Unformatted text preview: ncies between 0 and 2π given by the vector w at a prescribed set of discrete frequency points ω = ωl 16 Copyright © 2005, S. K. Mitra Copyright © 2005, S. K. Mitra DTFT Computation Using MATLAB DTFT Computation Using MATLAB • There are several other forms of the function freqz • Program 3_1.m in the text can be used to compute the values of the DTFT of a real sequence • It computes the real and imaginary parts, and the magnitude and phase of the DTFT 17 • Example - Plots of the real and imaginary parts, and the magnitude and phase of the DTFT 0.008 − 0.033 e − jω + 0.05 e − j 2ω X ( e jω ) = 18 Copyright © 2005, S. K. Mitra − 0.033 e − j 3ω + 0.008 e − j 4ω 1 + 2.37 e − jω + 2.7 e − j 2ω + 1.6 e − j 3ω + 0.41e − j 4ω are shown on the next slide Copyright © 2005, S. K. Mitra 3 DTFT Computation Using MATLAB Real part Imaginary part 0.5 Amplitude 1 0.5 0 -0.5 0 0.5 -1 0 0.2 0.4 0.6 0.8 1 1 ω/π 0.2 0.4 ω /π 0.6 0.8 1 Unwrapped Phase Spectrum 0 4 0.8 -1 2 Phase, radians Magnitude 0 Phase Spectrum Magnitude Spectrum 1 0.6 0.4 0 -2 0.2 0 • Note: The phase spectrum displays a discon...
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## This document was uploaded on 11/09/2013.

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