Roberto Cristi conveys the excitement of the Digital Signal Processing field in which students can experiment with sounds, images, and video. Using a wealth of applications, the book covers Digital Signal Processing material well suited to today's diverse student population. The author presents the material in a logical sequence so that students can appreciate how concepts develop. The book can be effectively used in a university classroom or as a base for self-study.s

Fundamentals of Signals and Systems

1

(82)

Signals

1

(16)

Systems

17

(25)

Fourier Analysis of Discrete Time Signals

42

(13)

Fourier Analysis of Continuous Time Signals

55

(28)

Discrete Time Processing of Continuous Time Signals

83

(24)

Introduction

83

(1)

Structure of a Digital Filter

84

(1)

Frequency Domain Analysis of a Digital Filter

85

(7)

Quantization Errors

92

(6)

Prediction-Based Sampling Methods: Sigma and Sigma-Delta Modulation

98

(9)

Fourier Analysis of Discrete Time Signals

107

(44)

Introduction

107

(1)

Discrete Time Fourier Transform (DTFT)

107

(4)

Discrete Fourier Transform (DFT)

111

(6)

The DFT as an Estimate of the DTFT

117

(6)

DFT for Spectral Estimation

123

(7)

DFT for Convolution

130

(4)

DFT/DCT for Compression

134

(6)

The Fast Fourier Transform (FFT)

140

(11)

Digital Filters

151

(48)

Introduction

151

(1)

Ideal Versus Nonideal Filters

152

(5)

Finite Impulse Response (FIR) Filters

157

(15)

Infinite Impulse Response (IIR) Filters

172

(27)

Digital Filters Implementation

199

(35)

Introduction

199

(1)

Elementary Operations

199

(4)

State Space Realization of Digital Filters

203

(10)

Robust Implementation of Digital Filters

213

(14)

Robust Implementation of Equiripple FIR Filters

227

(7)

Multirate Digital Signal Processing: Fundamentals

234

(36)

Introduction

234

(1)

Statement of the Problem and Definitions

235

(3)

Analysis of Downsampling and Upsampling

238

(12)

Sampling Rate Conversion by a Rational Factor

250

(3)

Multistage Implementation of Digital Filters

253

(3)

Efficient Implementation of Multirate Systems

256

(4)

Application of Multirate DSP: Digital-to-Analog Conversion

260

(4)

Sampling Frequency and Quantization Error

264

(6)

DFT Filter Banks and Transmultiplexers

270

(32)

Introduction

270

(2)

DFT Filter Banks

272

(7)

Maximally Decimated DFT Filter Banks and Transmultiplexers

279

(5)

Transmultiplexers

284

(7)

Application of Transmultiplexers to Digital Communications Modulation

291

(11)

Maximally Decimated Filter Banks

302

(35)

Introduction

302

(1)

Vector Spaces

303

(8)

Two-Channel Perfect Reconstruction Conditions

311

(9)

Design of Perfect Reconstruction Filter Banks with Real Coefficients

320

(8)

Lattice Implementation of Orthonormal Filter Banks

328

(5)

Application to an Audio Signal

333

(4)

Time Frequency Expansion: An Introduction

337

(35)

Introduction

337

(3)

The Short Time Fourier Transform (STFT)

340

(5)

The Gabor Transform (GT)

345

(6)

The Wavelet Transform

351

(9)

Recursive Multiresolution Decomposition

360

(12)

Appendixes

372

(3)

Index

375

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