Unformatted text preview: nitude and gain responses
of an Mpoint moving average filter as
shown below • The phase response of a discretetime
system when determined by a computer
may exhibit jumps by an amount 2π caused
by the way the arctangent function is
computed
• The phase response can be made a
continuous function of ω by unwrapping the
phase response across the jumps 1 100
M=5
M=14 50
Phase, degrees Magnitude 0.8
0.6
0.4
0.2 49 0
0 0
50
100
M=5
M=14 150
0.2 0.4 0.6 0.8 1 200 ω/π 0 0.2 0.4 0.6 0.8 Copyrightω/π 2005, S. K. Mitra
© 1 50
Copyright © 2005, S. K. Mitra Frequency Response
Computation Using MATLAB SteadyState Response
• Note that the frequency response also
determines the steadystate response of an
LTI discretetime system to a sinusoidal
input
• Example  Determine the steadystate
output y[n] of a real coefficient LTI
discretetime system with a frequency
response H (e jω ) for an input • To this end the function unwrap can be
used, provided the computed phase is in
radians
• The jumps by the amount of 2π should not
be confused with the jumps caused by the
zeros of the frequency response as indicated
in the phase r...
View
Full
Document
This document was uploaded on 11/09/2013.
 Fall '13

Click to edit the document details