Table of Contents:
Preface.
Purpose of Book.
Organization of Book.
1. Why
Multirate Filters?
Compact Disc 4-to-1 Oversample. Anti-alias
Filtering.
2. The Resampling Process.
The Sampling Sequence. What Is a Multirate
Filter? Useful Perspectives for Multirate Filters. Nyquist and the Sampling
Process.
3. Digital Filters.
Filter Specifications. Windowing. The Remez
Algorithm.
4. Useful Classes of Filters.
Nyquist Filter and Square-root Nyquist Filter.
The Communication Path. The Sampled Cosine Taper. Half-band Filters.
5. Systems That Use Resampling Filters.
Filtering with Large Ratio of Sample Rate to
Bandwidth. Workload of Multirate Filter.
6. Polyphase FIR Filters.
Channelizer. Separating the Aliases.
7. Resampling Filters.
Interpolators. Interpolator Architecture.
Band-pass Interpolator. Rational Ratio Resampling. Arbitrary Resampling Ratio.
Farrow Filter.
8. Half-band Filters.
Half-band Low Pass Filters. Half-band High pass
Filter. Window Design of Half-band Filter. Remez Algorithm Design of Half-band
Filters. Hilbert Transform Band-pass Filter. Interpolating with Low Pass
Half-band Filters. Dyadic Half-band Filters.
9. Polyphase Channelizers.
Demodulator Channel Bank. Arbitrary Output
Sample Rates.
10. Recursive Polyphase Filters.
All-pass Recursive Filters. Two-path All-pass
Recursive Filters. Comparison of Nonuniform and Equal-ripple Phase Two-path
Filters. Pass band and Stop band Response in Half-band Filters. Transforming
Half-band to Arbitrary Bandwidth. Multirate Considerations of Recursive
Half-band Filters. Hilbert-transform Filter Variant of Two-path All-pass Filter.
M-path Recursive All-pass Filters. Iterated Half-band Filters.
11. Cascade Integrator Comb Filters.
A Multiply-free Filter. Binary Integers and
Overflow. Multistage CIC. Hogenauer Filter. CIC Interpolator Example. Coherent
and Incoherent Gain in CIC Integrators.
12. Cascade and Multiple Stage Filter Structures.
Interpolated FIR (IFIR) Filters. Spectral
Masking Filters Based of Half-band Filters. Spectral Masking Filters Based on
Complementary Filters. Proportional Bandwidth Filter Banks.
13. Communication Systems Applications.
Conventional Digital Down Converters. Aliasing
Digital Down Converters. Timing Recovery in a Digital Demodulator. Modem Carrier
Recovery. Digitally Controlled Sampled Data Delay. Recursive All-pass Filter
Delay Lines. Sigma-delta Decimating Filter. FM Receiver and Demodulator.
Index