This innovative text and CD-ROM focuses on the fundamentals of digital signal processing with an emphasis on practical applications. In order to motivate students, many of the examples illustrate the processing of speech and music. This theme is also a focus of the course software that features facilities for recording and playing sound on a standard PC. The accompanying CD-ROM contains a comprehensive MATLAB software package called the Fundamentals of Digital Signal Processing (FDSP) toolbox. The FDSP toolbox includes chapter GUI modules, an extensive library of DSP functions, all computational examples that appear in the text, the text figures, solutions to selected problems, and online help documentation. Using the interactive GUI modules, students can explore, compare, and directly experience the effects of signal processing techniques without any need for programming.

## Table of Contents

1. Signal Processing

Motivation / Signals and Systems / Signal Sampling / Signal Reconstruction / Prefilters and Postfilters / Conversion Circuits / The FDSP Toolbox / Software Applications / Chapter Summary / Problems

2. Discrete-Time System Analysis

Motivation / Z-Transform Pairs / Z-Transform Properties / Inverse Z-Transform / Transfer Functions / Signal Flow Graphs / The Impulse Response and Convolution / Stability / Frequency Response / Software Applications / Chapter Summary / Problems

3. The DFT and Spectral Analysis

Motivation / The Discrete-Time Fourier Transform (DTFT). The Discrete Fourier Transform (DFT). DFT Properties. The Fast Fourier Transform (FFT). White Noise. Discrete-Time Frequency Response. Zero Padding. Power Density Spectrum Estimation. The Spectrogram. Software Applications. Chapter Summary. Problems.

4. Convolution and Correlation

Motivation / Convolution / Fast Convolution / Cross-Correlation / Fast Correlation / Auto-Correlation / Extracting Periodic Signals from Noise / Software Applications / Chapter Summary / Problems

5. Filter Specifications and Structures

Motivation. Filter Design Specifications. Linear-Phase Filters. Minimum-Phase and Allpass Filters. FIR Filter Realization Structures. IIR Filter Realization Structures. FIR Finite Word Length Effects. IIR Finite Word Length Effects. Software Applications. Chapter Summary. Problems.

6. FIR Filter Design

Motivation / Windowing Method / Frequency Sampling Method / Least Squares Method / Optimal Equiripple Method / Differentiators and Hilbert Transformers / Software Applications / Chapter Summary / Problems

7. Multirate Signal Processing

Motivation / Integer Decimators and Interpolators / Rational Sampling Rate Converters / Multirate Filter Realization Structures / Subband Processing / Oversampling ADC / Oversampling DAC / Software Applications / Chapter Summary / Problems

8. IIR Filter Design

Motivation / Filter Design by Pole-Zero Placement / Filter Design Parameters / Classical Analog Filters / Bilinear Transformation Method / Frequency Transformations / Software Applications / Chapter Summary / Problems

9. Adaptive Signal Processing

Motivation / Mean Square Error / The Least Mean Square (LMS) Method / Performance Analysis of the LMS Method / Modified LMS Methods / Adaptive FIR Filter Design / The Recursive Least Squares (RLS) Method / Active Noise Control / Nonlinear System Identification / Software Applications / Chapter Summary / Problems

APPENDICES:

1. MATLAB

Workspace / Variables and Initialization / Mathematical Operators / Input and Output / Branching and Loops / Built-In Functions / User-Defined Functions / GUIs

2. FDSP Toolbox

Installation / Driver Module f_dsp / Chapter GUI Modules / FDSP Toolbox Functions

3. Transform Tables

Fourier Series / Fourier Transform / Laplace Transform / Z-Transform / Discrete-Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT)

4. Mathematical Identifies

Complex Numbers / Euler’s Identity / Trigonometric Identities / Inequalities