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.

Promotional Information

This book provides the communications engineer involved in the physical layer of communications systems, the signal processing techniques and design tools needed to develop efficient algorithms for the design of various systems. These sytems inlcude satellite modems, cable modems, wire-line modems, cell-phones, various radios, multi-channel receivers, audio encoders, surveilance receivers, laboratory instruments, and various sonar and radar systems. The emphasis woven through the book material is that of intuitive understanding obtained by the liberal use of figures and examples. The book contains examples of all these types of systems. The book also will contain MATLAB script files that implement the examples as well as design tools for filters similar to the examples.