INTRO TO DIG SIG PRO
INTRO TO DIG SIG PRO E C E 467
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This 4 page Class Notes was uploaded by Eloy Ferry on Saturday September 26, 2015. The Class Notes belongs to E C E 467 at Clemson University taught by John Gowdy in Fall. Since its upload, it has received 62 views. For similar materials see /class/214305/e-c-e-467-clemson-university in ELECTRICAL AND COMPUTER ENGINEERING at Clemson University.
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Date Created: 09/26/15
ECE 467667 Introduction to Digital Signal Processing LECTURE 20 Using the Kaiser window for designing FIR filters using the window method Os n s M I003 wn where or M 2 I0 x zeroth order modified Bessel function of the first kind 0 X 2k 2 390Xko 2 k2 Erameters of Kaiser window a M window length M1 B controls window shape B O gt rectangular window increasing 3 gt increased tapering r Bo B3 ECE quot139467667 Introduction to Digital Signal Processing 39 I I y 39 punt gl 6 Andimde 7 I 39 39 x 03 I I3 gs db o 3902 I 04 06 03 1r Radian oqumcy u b M39W uzo Maw 0 02 04 061 39 081 I 39 Radian frequency w c Figure 732 quot11 Kaiser windows for 30 3 Ind 6 and M 20 b Fourler transform corresponding to windows in a c Fourier transforms of lunar windows with I 6 and M IO 20 and 40 39 ECE 1 467667 Introduction to Digital Signal Processing Empirical design formula based on 1 15 5 A i J DD ms D 5 1 Specify ms up Let Au usmp 2 Let A 20og10 5 39 11o2A 87 A gt50 3 Choose B 5842A 21quot 07886A 21 21 s A s 50 O A lt 21 4 Estimate M 18 lt predicts M to within at 2 over a wide 2285Aw 39 range of Am and A 9 Set 5 001 most restrictive case 52 001 Then A 20og1o001 60 Since A gt 50 set 3 11o260 87 5653 ECE 39139467667 introduction to Digital Signal Processing Estimate M 393 37 22852n a Set me p2 1 51 for ideal lowpass filter whose hn is to be truncated by wn Resulting FIR filter after windowing is 2 zsinucn ot lo B1na M o h 185 1rn 0L OB W ere 1 2 hn Often we would roundup to next integer to use on 19 00 m oz 0 u 1 I 39 A39 o to so 40 20 ml numb1a m LWIO Wt Kiwi L 041 OJ M 1 Indian lmmy iv thw t O J OJI39 04 O uh I D 021 dim lmmy u b Finn 113 Rayon functions or Enmpk Ll I I lmpulu ruptu M 339 in Log nunth c 4wu m on quotfor