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
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).
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 Digi tal Filter. Quantization Errors.
Prediction-Based Sampling Methods: Sigma and Si gma-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).
Introduction. Elementary Operations. State Space Realization of Digital Filters. Robust Implementation of Digital
Filters. Robust Implementation of Equiripple F IR 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 Imple mentation of Digital Filters. Efficient Implementation of Multirate
Systems. App lication 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 Transmu ltiplexers. Transmultiplexers.
Application of Transmultiplexers to Digital Commu nication Modulation.
8. MAXIMALLY DECIMATED FILTER BANKS.
Introduction. Vector Spaces. Two-Channel Perfect Reconstruction Conditions. Desi gn of Perfect Reconstruction
Filter Banks with Real Coefficients. Lattice Implem entation 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.
