Filter design and equalization - MIT OpenCourseWare

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example• linear phase filter, n = 21• passband [0, 0.12π]; stopband [0.24π,π]• max ripple δ 1 = 1.012 (±0.1dB)• design for maximum stopband attenuationimpulse response h:0.20.1h(t)0−0.1−0.20 2 4 6 8 10 12 14 16 18 20tFilter design 14
frequency response magnitude (i.e., | H(ω) | ):110010|H(ω)|−110−21010−30 0.5 1 1.5 2 2.5 3ωfrequency response phase (i.e., H(ω)):321 H(ω)0−1−2−30 0.5 1 1.5 2 2.5 3ωFilter design 15
Page 2: FIR filtersfinite impulse response
Page 6 and 7: • h is optimization variableCheby
Page 8 and 9: Linear phase filterssuppose• n =
Page 10 and 11: Lowpass filter specificationsδ 11/
Page 12 and 13: Linear phase lowpass filter design
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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