Quiz 5 - Q at Mi K1(“5 mirth l l P i 0’? ECE 408...

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Unformatted text preview: Q at Mi K1 (“5 mirth l l P i]. , 0’?» ECE 408 QUIZ #5 20 POINTS Design an FLR lowpass filter with 20 ./ cutoff frequency f0 = 1525 Hz w sampling rate fsampung = 10000 Hz length (number of coefficients) N = 7 Hamming window. (3) Find the desired shified impulse reSponse hd5(k) for k = 0, 1, 2, 3, 4, 5, 6. (b) Find the window function w(k) for k = 0, 1, 2, 3, 4, 5, 6. (c) Find the impulse response h(k) of the filter for k = 0, 1, 2, 3, 4, 5, 6. 6 (d) Let Sum = Z h(k) . Divide h(k) found in part (c) by {Sum} to get the normalized k=0 (scaled) impulse response th5(k) for k = 0, 1, 2, 3, 4, 5, 6. (e) Using th5(k) from part (d), evaluate the magnitude response |HLp5(0)| for 0 = 0, "it/4, 1t/2, 37r/4, n and sketch IHLP5(B)I. (f) Draw the direct form implementation of this FIR filter. ijE I mhmm—Im com I hmpoé wmw—(DGm m I @5me com I hmmoé wwE<DOm m I mhmwzm 00.. I. wmmoé mum<30m m I 95me cm I mmmoé hmEOU mmji Ll whmmIm com I hmpoé mmm<30w m I. ”rum—1m com I RN04... mwm<30w m 1.. «HMMIw 06.. I wmmoé hmEoo ‘ wmm<DOw m I whmwiw cm «I mmmoé ...
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