CONTENTS 10 FIR Digital Filter Design 532 10.1 Window Method,532 10.1.1 Ideal Filters,532 10.1.2 Rectangular Window,535 10.1.3 Hamming Window,540 10.2 Kaiser Window,541 10.2.1 Kaiser Window for Filter Design,541 10.2.2 Kaiser Window for Spectral Analysis,555 10.3 Frequency Sampling Method,558 10.4 Other FIR Design Methods,558 10.5 Problems,559 11 IIR Digital Filter Design 563 11.1 Bilinear Transformation,563 11.2 First-Order Lowpass and Highpass Filters,566 11.3 Second-Order Peaking and Notching Filters,573 11.4 Parametric Equalizer Filters,581 11.5 Comb Filters,590 11.6 Higher-Order Filters,592 11.6.1 Analog Lowpass Butterworth Filters,594 11.6.2 Digital Lowpass Filters,599 11.6.3 Digital Highpass Filters,603 11.6.4 Digital Bandpass Filters,606 11.6.5 Digital Bandstop Filters,611 11.6.6 Chebyshev Filter Design*,615 11.7 Problems,628 12 Interpolation,Decimation,and Oversampling 632 12.1 Interpolation and Oversampling,632 12.2 Interpolation Filter Design*,638 12.2.1 Direct Form,638 12.2.2 Polyphase Form,640 12.2.3 Frequency Domain Characteristics,645 12.2.4 Kaiser Window Designs,647 12.2.5 Multistage Designs,649 12.3 Linear and Hold Interpolators*,657 12.4 Design Examples*,661 12.4.1 4-fold Interpolators,661 12.4.2 Multistage 4-fold Interpolators,667 12.4.3 DAC Equalization,671 12.4.4 Postfilter Design and Equalization,674 12.4.5 Multistage Equalization,678 12.5 Decimation and Oversampling*,686 12.6 Sampling Rate Converters*,691 12.7 Noise Shaping Quantizers*,698 12.8 Problems,705x CONTENTS 10 FIR Digital Filter Design 532 10.1 Window Method, 532 10.1.1 Ideal Filters, 532 10.1.2 Rectangular Window, 535 10.1.3 Hamming Window, 540 10.2 Kaiser Window, 541 10.2.1 Kaiser Window for Filter Design, 541 10.2.2 Kaiser Window for Spectral Analysis, 555 10.3 Frequency Sampling Method, 558 10.4 Other FIR Design Methods, 558 10.5 Problems, 559 11 IIR Digital Filter Design 563 11.1 Bilinear Transformation, 563 11.2 First-Order Lowpass and Highpass Filters, 566 11.3 Second-Order Peaking and Notching Filters, 573 11.4 Parametric Equalizer Filters, 581 11.5 Comb Filters, 590 11.6 Higher-Order Filters, 592 11.6.1 Analog Lowpass Butterworth Filters, 594 11.6.2 Digital Lowpass Filters, 599 11.6.3 Digital Highpass Filters, 603 11.6.4 Digital Bandpass Filters, 606 11.6.5 Digital Bandstop Filters, 611 11.6.6 Chebyshev Filter Design∗, 615 11.7 Problems, 628 12 Interpolation, Decimation, and Oversampling 632 12.1 Interpolation and Oversampling, 632 12.2 Interpolation Filter Design∗, 638 12.2.1 Direct Form, 638 12.2.2 Polyphase Form, 640 12.2.3 Frequency Domain Characteristics, 645 12.2.4 Kaiser Window Designs, 647 12.2.5 Multistage Designs, 649 12.3 Linear and Hold Interpolators∗, 657 12.4 Design Examples∗, 661 12.4.1 4-fold Interpolators, 661 12.4.2 Multistage 4-fold Interpolators, 667 12.4.3 DAC Equalization, 671 12.4.4 Postfilter Design and Equalization, 674 12.4.5 Multistage Equalization, 678 12.5 Decimation and Oversampling∗, 686 12.6 Sampling Rate Converters∗, 691 12.7 Noise Shaping Quantizers∗, 698 12.8 Problems, 705