Page 6 - DSP Integrated Circuits

Contents v

3.16.3 Winograd's Fast Algorithm 96
3.16.4 IFFT (The Inverse FFT) 96
3.17 FFT Processor—Case Study 1 96
3.17.1 Specification 97
3.17.2 System Design Phase 97
3.18 Image Coding 98
3.19 Discrete Cosine Transforms 99
3.19.1 EDCT (Even Discrete Cosine Transform) 99
3.19.2 ODCT (Odd Discrete Cosine Transform) 101
3.19.3 SDCT (Symmetric Discrete Cosine Transform) 101
3.19.4 MSDCT (Modified Symmetric Discrete Cosine Transform) 102
3.19.5 Fast Discrete Cosine Transforms 104
3.20 DCT Processor—Case Study 2 105
3.20.1 Specification 107
3.20.2 System Design Phase 107

4 Digital Filters 115

4.1 Introduction 115
4.2 FIR Filters 115
4.2.1 Linear-Phase FIR Filters 116
4.2.2 Design of Linear-Phase FIR Filters 117
4.2.3 Half-Band FIR Filters 120
4.2.4 Complementary FIR Filters 122
4.3 Fir Filter Structures 122
4.3.1 Direct Form 122
4.3.2 Transposed Direct Form 123
4.3.3 Linear-Phase Structure 124
4.3.4 Complementary FIR Structures 125
4.3.5 Miscellaneous FIR Structures 126
4.4 FIR Chips 126
4.5 IIR Filters 127
4.6 Specification of IIR Filters 128
4.6.1 Analog Filter Approximations 129
4.7 Direct Design in the z-Plane 130
4.8 Mapping of Analog Transfer Functions 130
4.8.1 Filter Order 131
4.9 Mapping of Analog Filter Structures 137
4.10 Wave Digital Filters 138
4.11 Reference Filters 138
4.12 Wave Descriptions 140
4.13 Transmission Lines 141
4.14 Transmission Line Filters 143