Modern Digital Signal Processing

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

Table of Contents

1. FUNDAMENTALS OF SIGNALS AND SYSTEMS.
Signals. Systems. Fourier Analysis of Discrete Time Signals. Fourier Analysis of Continuous Time Signals.
2. DISCRETE TIME PROCESSING OF CONTINUOUS TIME SIGNALS.
Introduction. Structure of a Digital Filter. Frequency Domain Analysis of a Digital Filter. Quantization Errors. Prediction-Based Sampling Methods: Sigma and Sigma-Delta Modulation.
3. FOURIER ANALYSIS OF DISCRETE TIME SIGNALS.
Introduction. Discrete Time Fourier Transform (DTFT). Discrete Fourier Transform (DFT). The DFT as an Estimate of the DTFT. DFT for Spectral Estimation. DFT for Convolution. DFT/DCT for Compression. The Fast Fourier Transform (FFT).
4. DIGITAL FILTERS.
Introduction. Ideal Versus Nonideal Filters. Finite Impulse Response (FIR) Filters. Infinite Impulse Response (IIR) Filters.
5. DIGITAL FILTERS IMPLEMENTATION.
Introduction. Elementary Operations. State Space Realization of Digital Filters. Robust Implementation of Digital Filters. Robust Implementation of Equiripple FIR Filters.
6. MULTIRATE DIGITAL SIGNAL PROCESSING: FUNDAMENTALS.
Introduction. Statement of the Problem and Definitions. Analysis of Downsampling and Upsampling. Sampling Rate Conversion by a Rational Factor. Multistage Implementation of Digital Filters. Efficient Implementation of Multirate Systems. Application of Multirate DSP: Digital-to-Analog Conversion. Sampling Frequency and Quantization Error.
7. DFT FILTER BANKS AND TRANSMULTIPLEXERS.
Introduction. DFT Filter Banks. Maximally Decimated DFT Filter Banks and Transmultiplexers. Transmultiplexers. Application of Transmultiplexers to Digital Communication Modulation.
8. MAXIMALLY DECIMATED FILTER BANKS.
Introduction. Vector Spaces. Two-Channel Perfect Reconstruction Conditions. Design of Perfect Reconstruction Filter Banks with Real Coefficients. Lattice Implementation of Orthonormal Filter Banks. Application to an Audio Signal.
9. TIME FREQUENCY EXPANSION: AN INTRODUCTION.
Introduction. The Short Time Fourier Transform (STFT). The Gabor Transform (GT). The Wavelet Transform. Recursive Multiresolution Decomposition.
APPENDIXES.
INDEX.

Features

Proves, and not just states, most of the presented statements.

Reviews signals and systems in Chapter 1.

Ensures that students understand how to make continuous time and discrete time signals and systems coexist (Chapter 2).

Covers the most common approaches to Digital and Analog Filter design (Finite Impulse Response and Infinite Impulse Response) and makes students aware of the theory and limitations behind each technique.

Presents the fundamentals of Multi Rate digital signal processing, with applications to signal resampling, efficient filter design and signal digitization.

Introduces signal decomposition by Filter Banks with particular attention to DFT in Chapter 7 and Maximally Decimated structures in Chapter 8. They both are at the basis of the Time Frequency decomposition presented in the last chapter (Chapter 9), such as the Short Time Fourier Transform and the Gabor Transform (from the DFT Filter Banks), and the Wavelet Transform (from the Maximally Decimated Filter Banks);

Introduces Transmultiplexers with particular attention to applications to digital communications techniques such Time Division and Frequency Division Multiple Access (TDMA and FDMA) and Multi Carrier (MC) modulation, also called Orthogonal Frequency Division Multiplexing (OFDM).

Roberto Cristi傳達了數位信號處理領域的興奮，學生可以在其中對聲音、圖像和視頻進行實驗。本書使用豐富的應用程序，涵蓋了適合當今多樣化學生群體的數位信號處理材料。作者按照邏輯順序呈現材料，使學生能夠理解概念的發展。本書可以在大學課堂上有效使用，也可以作為自學的基礎。

目錄
1. 信號和系統的基礎
2. 離散時間處理連續時間信號
3. 離散時間信號的傅立葉分析
4. 數位濾波器
5. 數位濾波器實現
6. 多速率數位信號處理：基礎
7. DFT濾波器組和傳輸多路復用器
8. 最大抽取濾波器組
9. 時間頻率展開：介紹
附錄
索引

特點
大部分陳述都有證明，而不僅僅是陳述。
在第1章中回顧信號和系統。
確保學生理解如何使連續時間和離散時間信號和系統共存（第2章）。
涵蓋了數位和類比濾波器設計的最常見方法（有限脈衝響應和無限脈衝響應），並使學生了解每種技術背後的理論和限制。
介紹了多速率數位信號處理的基礎知識，並應用於信號重取樣、高效濾波器設計和信號數字化。
介紹了濾波器組的信號分解，特別關注第7章的DFT濾波器組和第8章的最大抽取結構。它們都是最後一章（第9章）中時間頻率分解的基礎，例如短時傅立葉變換和Gabor變換（來自DFT濾波器組）以及小波變換（來自最大抽取濾波器組）。
介紹了傳輸多路復用器，特別關注應用於數字通信技術的應用。