Advanced Filter Design Manual

adarkheart

看过了，还可以，但太少了

tiandihu

谢谢共享！！

ADS998

謝謝樓主分享

culight

真是好东西,顶

ADS998

謝謝樓主分享

nov833

希望有用啊，下一次就少很多money
我是穷人，下岗中

Avalon

Advanced Filter Design Manual


thanks

semico_ljj

Contents
1 Least square design of linear phase FIR lters 3
1.1 Speech spectrum approximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.2 Modied speech spectrum approximation . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.3 Differentiator approximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1.4 Hilbert lter approximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2 Least squares design of FIR lters using complex approximation 8
2.1 Fractional delay lter design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.2 Fractional delay lter design analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.3 Differentiator with short group-delay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.4 Fractional delay lter design analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.5 Low-pass FIR lter with short group-delay . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3 Weighted minimax-design of linear phase FIR lters 15
3.1 Low-pass lter design using linear programming . . . . . . . . . . . . . . . . . . . . . . 16
3.2 High-pass lter design using linear programming . . . . . . . . . . . . . . . . . . . . . . 16
3.3 Low-pass lter design using linear programming . . . . . . . . . . . . . . . . . . . . . . 17
4 Linear FIR lter design using Remes algorithm 19
4.1 Polynomial equation solving using Remes exchange algorithm . . . . . . . . . . . . . . . 19
4.2 FIR Filter design using Remes exchange algorithm . . . . . . . . . . . . . . . . . . . . . 20
4.3 FIR Filter design using Remes exchange algorithm . . . . . . . . . . . . . . . . . . . . . 20
4.4 Low-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 20
4.5 High-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 21
5 Minimum phase optimum magnitude Chebyshev FIR lter design 25
5.1 Low-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 26
5.2 High-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 26
6 Minimax design of FIR lters using complex approximation 31
6.1 Low-pass FIR lter with short group-delay . . . . . . . . . . . . . . . . . . . . . . . . . . 32
6.2 Design of FIR equaliser for elliptic lters . . . . . . . . . . . . . . . . . . . . . . . . . . 32
7 Design of FIR lters using complex approximation and group-delay constraints 36
7.1 Low-pass least squares FIR lter with group-delay constraints . . . . . . . . . . . . . . . 38
7.2 Low-pass least squares FIR lter with group-delay constraints . . . . . . . . . . . . . . . 38
7.3 Design of FIR equaliser with group-delay constraint for elliptic lters . . . . . . . . . . . 39

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8 Design of IIR lters 43
8.1 Fixed frequency response IIR lter design . . . . . . . . . . . . . . . . . . . . . . . . . . 45
8.2 Fixed length IIR lter design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
8.3 IIR lter implementation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
8.4 Analog lter transformation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
9 Half-band FIR lters 53
9.1 Low-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 54
10 Design of FIR lters using optimum window design 57
10.1 Optimum window low-pass FIR lter . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
10.2 Minimax optimum window low-pass FIR lter . . . . . . . . . . . . . . . . . . . . . . . 58
10.3 Low-pass FIR lter design using eigen window method . . . . . . . . . . . . . . . . . . . 58
10.4 Kaiser window design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
11 Minimum phase FIR lter design by spectral factorisation 62
11.1 Low-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 63
11.2 High-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 64
11.3 High-pass FIR lter design using Remes exchange algorithm . . . . . . . . . . . . . . . . 65
12 Cepstrum minimum phase FIR-lter design 71
12.1 Low-pass FIR-lter design using complex cepstrum technique . . . . . . . . . . . . . . . 72
13 Allpass Realisation of Recursive Digital Filters 75
13.1 Design example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
14 Uniform over-sampled DFT lter-bank design and implementation 79
14.1 DFT lterbank implementation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
14.2 Parallel DFT lterbank implementation . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

semico_ljj

Advanced lter design
Reference manual
©2004 Anders Johansson

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