Topics in signal processing

✍ Scribed by Dutta Roy S.C

• Publisher: Springer
• Year: 2020
• Tongue: English
• Leaves: 335
• Category: Library

✦ Table of Contents

Acknowledgements......Page 6
About This Book......Page 7
Contents......Page 9
Author and Contributors......Page 18
Analog Signal Processing: Signal Processing by Passive Networks......Page 23
1 Finite Zero Butterworth and€Chebyshev Filters......Page 24
References......Page 26
2.1 Introduction......Page 27
2.2 Analysis of€the€General BTC......Page 29
2.3 Symmetrical BTC......Page 32
2.4 BWER of€the€Asymmetrical BTC......Page 33
2.6 Concluding Discussion......Page 36
References......Page 37
3.1 Introduction......Page 39
3.2 The Basic Network......Page 40
3.4 Application of€Frequency Transformation......Page 41
3.5 Dual-Frequency Impedance Matching......Page 43
3.6 Triple-Frequency Impedance Matching......Page 44
3.7 Impedance Matching at€Four Frequencies......Page 45
3.8 Impedance Matching at€Five Frequencies......Page 46
3.10 Concluding Discussion......Page 47
References......Page 48
4.1 Introduction......Page 49
4.2.1 Basic L-Network for€Impedance Matching......Page 50
4.2.3 Application of€Frequency Transformation......Page 51
4.3 Triple Frequency Matching Network......Page 52
4.4 Alternative Circuits for€Triple Frequency Matching......Page 54
References......Page 55
Analog Signal Processing: Signal Processing by Distributed Networks......Page 57
5.1 Introduction......Page 58
5.3 Formulas for€Ladder Networks and€Extension to€Non-uniform Transmission Lines......Page 59
References......Page 63
6.1 Introduction......Page 64
6.2 Derivation......Page 65
6.2.1 Two-Port Equivalence......Page 66
References......Page 67
7.1 Introduction......Page 68
7.2.1 Recursive Formula......Page 69
7.2.2 Explicit Formula......Page 70
7.4 Performance......Page 71
References......Page 72
Analog Signal Processing: Signal Processing by Active Networks......Page 73
8.1 Introduction......Page 74
8.2 Basic Circuit......Page 75
8.3 Low-Pass Realization......Page 76
8.4 Bandpass Filter Realizations......Page 78
8.4.2 Second Bandpass Realization......Page 79
8.5 High-Pass Realization......Page 80
8.6 Band Stop Realization......Page 82
8.6.1 Second Band Stop Realization......Page 85
8.6.2 Third Band Stop Realization......Page 86
8.7 Economic Aspect of€Filter Realizations......Page 87
8.8 Conclusion......Page 88
References......Page 89
9.1 Introduction......Page 90
9.2 Butterworth Approximation......Page 91
9.3 Conclusion......Page 94
References......Page 95
10.1 Introduction......Page 96
10.2 The New Method......Page 97
10.3 Two Examples......Page 99
10.4 A€Comparison of€the€Two Methods......Page 100
10.5 An€Illustration of€the€Flexibility of€the€New Method......Page 101
References......Page 103
11.1 Introduction......Page 104
11.2 The Circuit Configuration......Page 105
11.3 Sensitivity Considerations......Page 106
11.4.1 Case A: Unity Gain Configuration......Page 107
11.4.2 Case B: General K Configuration......Page 108
11.5.1 Case A: OA in€Unity Gain Configuration......Page 109
11.5.2 Case B: OA in€Gain = 2 Configuration......Page 110
11.6 Conclusion......Page 112
References......Page 113
12.1 Introduction......Page 114
12.2 Gyrator Based Methods......Page 115
12.3 General Characteristics of€Lossy, Grounded L Simulators......Page 117
12.4.1 Four-Component Circuits......Page 118
12.4.3 Circuits Using Six Components......Page 120
12.4.4 Comments......Page 122
12.5 Lossy Floating Inductance Simulation......Page 123
12.6 Applications of€Simulated L in€the€Design of€Insensitive Biquadratic Sections......Page 125
12.7 Conclusion......Page 127
References......Page 128
13.1 Introduction......Page 129
13.2 Dominant-Pole Technique......Page 130
13.3 Frequency Limitations of€Lossy Grounded Inductance Simulators......Page 132
13.4 Experimental Investigations......Page 139
References......Page 140
14.1 Introduction......Page 141
14.2 Analysis......Page 142
14.3 Special Cases......Page 143
14.5 An€Open Problem and€a€Suggestion......Page 144
14.7 Conclusion......Page 145
References......Page 146
Analog Signal Processing: Signal Processing by Discrete Time Networks......Page 147
15.2 Our Early Work in€Digital Signal Processing......Page 148
15.3 Linear-Phase Recursive Filters......Page 149
15.4 Discrete Hilbert Transform and€Its Applications in€Digital Filtering......Page 150
15.5 Roundoff Noise in€Digital Filters......Page 151
15.6 Quantized Coefficent Design of€Digital Filters......Page 152
15.7 Variable IIR Digital Filters......Page 153
15.8 Variable FIR Digital Filters......Page 154
15.9 Nested Structures for€FIR Filters......Page 155
15.11 Inefficiency Compensation in€CTD Delays and€Signal Processors......Page 157
15.13 Coefficient Sensitivity in€CTD Filters......Page 160
15.15 Looking Ahead......Page 161
References......Page 162
16.1 Introduction......Page 165
16.2 Physics of€Charge-Coupled Devices......Page 167
16.3.1 Input Circuit......Page 169
16.3.2 Output Circuit......Page 171
16.4 Characterization, Measurement and€Compensation of€Charge-Transfer Inefficiency......Page 172
16.5 CCD Transversal Filters......Page 176
16.5.1 Limitations of€This Technique......Page 179
16.5.3 Bandpass Filters......Page 181
16.5.4 Matched Filtering......Page 182
16.5.7 Complex Coding......Page 183
16.5.11 Waveform Generation Using CCDs......Page 184
16.5.12 Cost and€Performance Trade-Offs in€Various Approaches to€Signal Processing......Page 185
16.6 Spectral Analysis Using CCDs......Page 187
16.7.1 Simple Cancelling Filter......Page 188
16.7.2 Application to€Practical MTI Filters......Page 189
16.7.4 Charge-Transfer Memory for€ECM......Page 191
16.7.5 Television Ghost Suppression Using CCD......Page 192
16.8 Concluding Remarks......Page 193
References......Page 194
17.2 Analysis......Page 198
17.3 Results of€Numerical Computations......Page 201
Reference......Page 203
Digital Signal Processing......Page 204
18.1 Introduction......Page 205
18.2 The Problem of€Linear Phase and€FIR Design......Page 207
18.3 Linear Phase IIR Design......Page 209
References......Page 211
19.1.1 Basic Concepts......Page 213
19.1.2 Conditions for€GLP and€Proof of€Sufficiency......Page 214
19.1.3 Necessary and€Sufficient Conditions......Page 215
19.2 Method 1......Page 216
19.3 Method 2......Page 217
19.4 Method 3......Page 218
19.5 Method 4......Page 220
19.6 Method 5......Page 222
19.7 Method 6......Page 223
19.8 Conclusions......Page 224
References......Page 225
20.1 Introduction......Page 226
20.3 Linear PB Equations and€Inequalities......Page 227
20.4 Nonlinear PB Equations and€Inequalities......Page 230
20.5 Minimization of€PB Functions......Page 232
20.6 Applications to€Digital Filters......Page 235
20.7 Discussion......Page 238
References......Page 239
21.1 Introduction......Page 240
21.2.1 Design for Approximation to H1(ω)......Page 242
21.3 DDs for Mid-band Frequencies with Zero Phase: H2(ω)......Page 245
21.3.1 Design for Approximation to H2(ω)......Page 246
21.4 DDs for Mid-band Frequencies with π/2 Phase: H3(ω)......Page 247
21.4.1 Design for Approximation to H3(ω)......Page 250
21.4.2 Performance of H3(ω)......Page 252
21.5.1 Design for Approximation to H4(ω)......Page 254
21.6 Variable Frequency DDs: Universal Differentiators......Page 255
21.6.1 Design of€Universal Digital Differentiators......Page 257
21.6.2 Performance of€Universal Differentiators......Page 259
References......Page 261
22.1 Introduction......Page 263
22.2 Review......Page 264
22.3 The Bernstein Polynomial and€Design of€Maxflat Filters......Page 269
22.4 Transformation Matrix......Page 270
22.4.2 Coefficients bi’s......Page 271
22.5 Maxflat FIR Filters......Page 273
22.6 Monotonic FIR Filters......Page 275
22.6.1 Monotonic Filters with€Transition Width 2/N......Page 276
22.6.2 Monotonic Filters with€Transition Width 3/N......Page 278
22.6.3 The New Method......Page 279
22.6.4 Comparative Study......Page 281
22.7 Quadrature Mirror Filter......Page 283
22.7.1 Design of€MAXFLAT QMF......Page 286
22.7.2 Monotonic QMF with€Zero Reconstruction Error at€the€End and€Mid Points......Page 288
22.7.3 Minimization of€the€Reconstruction Error at€xm......Page 291
22.8 Conclusion......Page 293
References......Page 294
23.2 Design......Page 297
23.3 Design Examples and€Performance......Page 301
23.3.1 Equiripple Design......Page 302
References......Page 303
24.1 Introduction......Page 304
24.2 Inversion Formula for€Van der Monde Matrix......Page 305
24.3 Inversion Formula for€the€Confluent Van der Monde Matrix......Page 307
References......Page 308
25.1 Introduction......Page 309
25.2 Derivation of€the€New Structure......Page 311
25.3 Cases Requiring Modification of€the€Procedure......Page 313
25.4 Realization of€a€Single Transfer Function......Page 314
25.5 Limitations of€the€New Procedures......Page 316
References......Page 317
26.2 The New Procedure......Page 318
Reference......Page 320
27.1 Introduction......Page 321
27.2 Derivation of€the€New Structure......Page 322
27.3 Examples......Page 324
References......Page 327
28.1 Introduction......Page 328
28.2 The Method......Page 330
28.3 Applications to€Canonical IIR Lattice Realizations......Page 333
References......Page 335