FilterDesign_example

FilterDesign_example - EE 338 Discrete-time Signals and...

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EE 338 Discrete-time Signals and Systems FIR Filter Design by Windowing Impact of truncation: ideal versus non-ideal filters Two low pass filters with cutoff frequency = 0.5 π . FIR implementation 1: 11-tap filter = otherwise n n n n h 0 5 5 ) 5 . 0 sin( ] [ 1 π FIR implementation 2: 21-tap filter = otherwise n n n n h 0 10 10 ) 5 . 0 sin( ] [ 2 Comparing H1( ω ) and H2( ω ): With truncation: There are ripples in the pass band and the stop band o The largest stop band ripple is relatively insensitive to the tap number N There is a transition band o A larger N gives a smaller transition bandwidth
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Comparing h1[n] and h2[n] h1[n] and h2[n] are symmetric with respect to the origin n=0, and they are zero- phase filters. h lp1 [n]=h1[n-5] is symmetric with center of symmetry α =5 h lp2 [n]=h2[n-10] is symmetric with center of symmetry α =10
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Comparing different windows: Two 21-tap low pass FIR filters with cutoff frequency 0.5
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This note was uploaded on 12/20/2010 for the course E E 338 taught by Professor Vicky during the Spring '10 term at University of Alberta.

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FilterDesign_example - EE 338 Discrete-time Signals and...

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