Digital Signal Processing: Spectral Computation and Filter Design

This is a textbook for senior/graduate level students for courses in electrical engineering departments commonly called digital signal processing. It may also be useful to engineers and scientists who use digital computers to process measured data. Two major topics of the text are: Computer computation of frequency contents of signal and design filters to process signals. These two topics follow logically a basic text or course on Signals and Systems. Although most topics in the text are standard, the presentation and emphasis are significantly different from other existing DSP texts. MATLAB is an integral part of the text, but is not the main emphasis, the text being mostly centered on the basic ideas and procedures in digital signal processing. Thus, the text lists only essential MATLAB functions in the most commonly used programs and skips functions that adjust shapes and sizes of plots, and draw horizontal and vertical coordinates. Some elementary knowledge of signals and systems is helpful, but not necessary. This text is as self contained as possible.

Table of Contents:
Preface 1. Introduction 1.1: Continuous-Time (CT), Discrete-Time (DT), and Digital Signals 1.2: Representation of Digital Signals 1.3: A/D and D/A Conversions 1.4: Comparison of Digital and Analog Techniques 1.5: Applications of Digital Signal Processing 1.6: Scope of the Book PART 1: SPECTRAL COMPUTATION 2. CT and DT Fourier Series--Frequency components 2.1: Introduction 2.2: Frequency and Frequency Range of Sinusoidal Sequences 2.3: Frequencies of CT Sinusoids and Their Sampled Sequences 2.4: Continuous-Time Fourier Series (CTFS) 2.5: Discrete-Time Fourier Series (DTFS) 2.6: FFT Computation of DTFS Coefficients 2.7: FFT Computation of CTFS Coefficients 2.8: Average Power and Its Computation 2.9: Concluding Remarks 3. CT and DT Fourier Transforms--Frequency Spectra 3.1: Introduction 3.2: CT Fourier Transform (CTFT) 3.3: Properties of Frequency Spectra 3.4: Distribution of Energy in Frequencies 3.5: Effects of Truncation 3.6: DT Fourier Transform (DTFT) 3.7: Effects of Truncation 3.8: Nyquist Sampling Theorem 3.9: Time-limited Bandlimited Theorem 4. DFT and FFT--Spectral Computation 4.1: Introduction 4.2: Discrete Fourier Transform (DFT) 4.3: Properties of DFT 4.4: Fast Fourier Transform (FFT) 4.5: Spectral Computation of Finite Sequences 4.6: Spectral Computation of CT Signals 4.7: Computing DT Signals from Spectra 4.8: Computing Energy Using FFT 4.9: Concluding Remarks PART 2: FILTER DESIGN 5. Linear Time-Invariant Lumped Systems 5.1: Introduction 5.2: Linearity and Time Invariance 5.3: LTIL Systems--Difference Equations 5.4: z-Transform 5.5: Transfer Functions 5.6: Stability 5.7: Frequency Response 5.8: Continuous-Time LTIL Systems 5.9: CT Transfer Function, Stability, and Frequency Response 5.10: Concluding Remarks 6. Ideal and Some Practical Digital Filters 6.1: Introduction 6.2: Ideal Digital Filters 6.3: Realizability 6.4: First-Order Digital Filters 6.5: Reciprocal Roots and All-Pass Filters 6.6: Miscellaneous Topics 6.7: Analog Ideal Low-Pass Filters 7. Design of FIR Filters 7.1: Introduction 7.2: Classification of Linear-Phase FIR Filters 7.3: Least-Square Optimal Filters--Direct Truncation 7.4: Window Method 7.5: Desired Filters with Specified Transition Bands 7.6: Discrete Least-Squares Optimal FIR Filters 7.7: Minimax Optimal FIR Filters 7.8: Design of Digital Differentiators 7.9: Hilbert Transformers 7.10: A Design Example 8. Design of IIR Filter Design 8.1: Introduction 8.2: Difficulties in Direct IIR Filter Design 8.3: Design of Analog Prototype Filters 8.4: Analog Frequency Transformations 8.5: Impulse Invariance Method 8.6: Bilinear Transformation 8.7: Analog-Prototype-to-Digital Transformations 8.8: Comparisons with FIR Filters 9. Structures of Digital Filters 9.1: Introduction 9.2: Direct Form of FIR Filters 9.3: DFT of Periodic Convolutions 9.4: Direct and Canonical Forms of IIR Filters 9.5: Effects of Filter Coefficient Quantizations 9.6: Cascade and Parallel Implementations Appendix: The Impulse References Index