Assignment 3 Soln

Assignment 3 Soln - 1 k b b b) c) ) 81 . 1 ( ) 1 ( ) 9 . )(...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Assignment 3 - Solutions ECSE304 Signals and Systems II, Winter, 2011 ECSE 304 Signals and Systems II Winter Semester 2011 Assignment 3: Solutions Richard Rose McGill University Dept. of Electrical and Computer Engineering
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 Assignment 3 - Solutions ECSE304 Signals and Systems II, Winter, 2011
Background image of page 2
3 Assignment 3 - Solutions ECSE304 Signals and Systems II, Winter, 2011
Background image of page 3

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

View Full DocumentRight Arrow Icon
4 Assignment 3 - Solutions ECSE304 Signals and Systems II, Winter, 2011
Background image of page 4
5 Assignment 3 - Solutions ECSE304 Signals and Systems II, Winter, 2011
Background image of page 5

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

View Full DocumentRight Arrow Icon
Problem M-1 a) 2 2 1 1 ) )( ( ) ( z z z z z A z H 0 0 poles at 0 z ) )( ( ) )( ( ) ( 2 1 2 2 1 1 z e z e A e z e z e A e H j j j j j j 0 0 0 0 Z Zeros are at: 2 25 . 0 1 S o j e z j 2 1 2 25 . 0 2 0 0 o j e z j 0 0 2 2 At 0 , 2 2 ) 1 )( 1 ( ) ( 0 1 . 0 A j j A e H j o 1 A Therefore 2 2 1 1 ) )( ( ) ( 0 . . 0 z z j z j z z H and the coefficients are given by: ° ¯ ° ® ­ otherwise 0 1 2 0 k b b b , ° ¯ ° ® ­ otherwise 0 1 0 k a a ) )( ( ) ( 2 1 2 z z z z A z H 0 0 zeros at f z ) )( ( ) ( 2 1 1 z e z e A e H j j j 0 0 Poles are near: 2 25 . 0 1 o j e z j 9 . 0 9 . 0 2 1 2 25 . 0 2 0 0 o j e z j 9 . 0 9 . 0 2 2 0 0 At 0 , 2 1 9 . 0 1 ) 9 . 0 1 )( 9 . 0 1 ( ) ( 2 0 1 # . . 0 A j j A e H j o 1 A Therefore ) 9 . 0 )( 9 . 0 ( 1 ) ( 2 j z j z z H . 0 And the coefficients are given by: ° ¯ ° ® ­ otherwise 0 81 . 0 , 1 2 0 k a a a , ° ¯ ° ® ­ otherwise
Background image of page 6
Background image of page 7

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

View Full DocumentRight Arrow Icon
Background image of page 8
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 k b b b) c) ) 81 . 1 ( ) 1 ( ) 9 . )( 9 . ( 1 ) 1 ( ) ( ) ( ) ( 2 2 2 2 2 1 . . . ¡ . ¡ z z z j z j z z z H z H z H Z 2 2 81 . 1 1 ) ( j j j e e e H . . d) Matlab Script: N_0=200; notch_freq = 0.25; r=0.9; % omega = -pi:2*pi/N_0:pi; theta = 2*pi*notch_freq; % A = [1 -2*r*cos(theta) r^2]; B = [1 -2*1.0*cos(pi/2) (1.0)^2]; H1 = freqz(B,1,omega); H2 = freqz(1,A,omega); H = freqz(B,A, omega); % subplot(2,1,1); plot(omega/pi,abs(H1)); subplot(2,1,2); plot(omega/pi,abs(H2)); figure Plot(omega/pi,abs(H))...
View Full Document

This note was uploaded on 08/17/2011 for the course ECSE 303 taught by Professor Janbajcsy during the Spring '09 term at McGill.

Page1 / 8

Assignment 3 Soln - 1 k b b b) c) ) 81 . 1 ( ) 1 ( ) 9 . )(...

This preview shows document pages 1 - 8. Sign up to view the full document.

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