Schaum's Digital Signal Processing--good book

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Chapter 1. Signals and Systems 1
1.1 Introduction 1
1.2 Discrete-Time Signals 1
1.2.1 Complex Sequences 2
1.2.2 Some Fundamental Sequences 2
1.2.3 Signal Duration 3
1.2.4 Periodic and Aperiodic Sequences 3
1.2.5 Symmetric Sequences 4
1.2.6 Signal Manipulations 4
1.2.7 Signal Decomposition 6
1.3 Discrete-Time Systems 7
1.3.1 Systems Properties 7
1.4 Convolution 11
1.4.1 Convolution Properties 11
1.4.2 Performing Convolutions 12
1.5 Difference Equations 15
Solved Problems 18
Chapter 2. Fourier Analysis 55
2.1 Introduction 55
2.2 Frequency Response 55
2.3 Filters 58
2.4 Interconnection of Systems 59
2.5 The Discrete-Time Fourier Transform 61
2.6 DTFT Properties 62
2.7 Applications 64
2.7.1 LSI Systems and LCCDEs 64
2.7.2 Performing Convolutions 65
2.7.3 Solving Difference Equations 66
2.7.4 Inverse Systems 66
Solved Problems 67
Chapter 3. Sampling 101
3.1 Introduction 101
3.2 Analog-to-Digital Conversion 101
3.2.1 Periodic Sampling 101
3.2.2 Quantization and Encoding 104
3.3 Digital-to-Analog Conversion 106
3.4 Discrete-Time Processing of Analog Signals 108
3.5 Sample Rate Conversion 110
3.5.1 Sample Rate Reduction by an Integer Factor 110
3.5.2 Sample Rate Increase by an Integer Factor 111
3.5.3 Sample Rate Conversion by a Rational Factor 113
Solved Problems 114
Chapter 4. The Z-Transform 142
4.1 Introduction 142
4.2 Definition of the z-Transform 142
4.3 Properties 146
vii
4.4 The Inverse z-Transform 149
4.4.1 Partial Fraction Expansion 149
4.4.2 Power Series 150
4.4.3 Contour Integration 151
4.5 The One-Sided z-Transform 151
Solved Problems 152
Chapter 5. Transform Analysis of Systems 183
5.1 Introduction 183
5.2 System Function 183
5.2.1 Stability and Causality 184
5.2.2 Inverse Systems 186
5.2.3 Unit Sample Response for Rational System Functions 187
5.2.4 Frequency Response for Rational System Functions 188
5.3 Systems with Linear Phase 189
5.4 Allpass Filters 193
5.5 Minimum Phase Systems 194
5.6 Feedback Systems 195
Solved Problems 196
Chapter 6. The DFT 223
6.1 Introduction 223
6.2 Discrete Fourier Series 223
6.3 Discrete Fourier Transform 226
6.4 DFT Properties 227
6.5 Sampling the DTFT 231
6.6 Linear Convolution Using the DFT 232
Solved Problems 235
Chapter 7. The Fast Fourier Transform 262
7.1 Introduction 262
7.2 Radix-2 FFT Algorithms 262
7.2.1 Decimation-in-Time FFT 262
7.2.2 Decimation-in-Frequency FFT 266
7.3 FFT Algorithms for Composite N 267
7.4 Prime Factor FFT 271
Solved Problems 273
Chapter 8. Implementation of Discrete-Time Systems 287
8.1 Introduction 287
8.2 Digital Networks 287
8.3 Structures for FIR Systems 289
8.3.1 Direct Form 289
8.3.2 Cascade Form 289
8.3.3 Linear Phase Filters 289
8.3.4 Frequency Sampling 291
8.4 Structures for IIR Systems 291
8.4.1 Direct Form 292
8.4.2 Cascade Form 294
8.4.3 Parallel Structure 295
8.4.4 Transposed Structures 296
8.4.5 Allpass Filters 296
8.5 Lattice Filters 298
8.5.1 FIR Lattice Filters 298
8.5.2 All-Pole Lattice Filters 300
viii
8.5.3 IIR Lattice Filters 301
8.6 Finite Word-Length Effects 302
8.6.1 Binary Representation of Numbers 302
8.6.2 Quantization of Filter Coefficients 304
8.6.3 Round-Off Noise 306
8.6.4 Pairing and Ordering 309
8.6.5 Overflow 309
Solved Problems 310
Chapter 9. Filter Design 358
9.1 Introduction 358
9.2 Filter Specifications 358
9.3 FIR Filter Design 359
9.3.1 Linear Phase FIR Design Using Windows 359
9.3.2 Frequency Sampling Filter Design 363
9.3.3 Equiripple Linear Phase Filters 363
9.4 IIR Filter Design 366
9.4.1 Analog Low-Pass Filter Prototypes 367
9.4.2 Design of IIR Filters from Analog Filters 373
9.4.3 Frequency Transformations 376
9.5 Filter Design Based on a Least Squares Approach 376
9.5.1 Pade Approximation 377
9.5.2 Prony's Method 378
9.5.3 FIR Least-Squares Inverse 379
Solved Problems

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