Filter design and equalization - MIT OpenCourseWare

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Lowpass filter specificationsδ 11/δ 1δ 2ω p ω s πidea:ω• pass frequencies in passband [0, ω p ]• block frequencies in stopband [ω s , π]Filter design 10
specifications:• maximum passband ripple (±20 log 10 δ 1 in dB):1/δ 1 ≤ |H(ω)| ≤ δ 1 , 0 ≤ ω ≤ ω p• minimum stopband attenuation (−20 log 10 δ 2 in dB):|H(ω)| ≤ δ 2 ,ω s ≤ ω ≤ πFilter design 11
Page 2: FIR filtersfinite impulse response
Page 6 and 7: • h is optimization variableCheby
Page 8 and 9: Linear phase filterssuppose• n =
Page 12 and 13: Linear phase lowpass filter design
Page 14 and 15: example• linear phase filter, n =
Page 16 and 17: Equalizer designH(ω)G(ω)equalizat
Page 18 and 19: time-domain equalization: optimize
Page 20 and 21: Equalizer design exampleunequalized
Page 22 and 23: Chebychev equalizer design:minimize
Page 24 and 25: time-domain equalizer design:equali
Page 26 and 27: Filter magnitude specificationstran
Page 28 and 29: Fourier transform of autocorrelatio
Page 30 and 31: choose h to minimizelog-Chebychev m
Page 32: MIT OpenCourseWarehttp://ocw.mit.ed

Filter design and equalization - MIT OpenCourseWare

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