Challenge_15-1 - /2 = (2(cos(5 )) -5 Then H (e j ) = | H(e...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Discrete-Time Signals and Systems Dr. Fred J. Taylor, Professor Lesson Title: FIR Frequency Response Lesson Number: 15 (Section 6-3 to 6-4) L Challenge Two N+1=11 order comb filters, having an impulse response h[k]={1,0,0,0,0,0,0,0,0,0,0,1} and frequency response H(e j ω )=2(cos( ω N/2)e -j ω N/2 , are cascaded. What is the frequency response H 0 (e j ω ) of the cascaded filter? Response Treat the 1 st impulse response as an input signal having a frequency response: H(e j ω ) = | H(e j ω )| H(e j ω ) = (2(cos(10 ω /2)) -10
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: /2 = (2(cos(5 )) -5 Then H (e j ) = | H(e j )| 2 2H(e j ) = 4 cos(5 ) 2 -10 You could also have convolved the two impulse responses producing h 21 =h*h producing: h 21 = [1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1] which has a frequency response: H 21 (e j ) = 1+2 e-j10 + e-j20 = (1+ e-j10 ) 2 = ((e-j5 )( e j5 +e-j5 )) 2 = (2(e-j5 )( e j5 +e-j5 )/2) 2 = 4 cos(5 ) 2 -10 (as before) 1...
View Full Document

Ask a homework question - tutors are online