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Digital.Synthesizers.and.Transmitters.for.Software.Radio.Springer.Jul.2005.eBook-DDU
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PREFACE...................................................................................XVII
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LIST OF ABBREVIATIONS...................................................XXIII
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1.TRANSMITTERS................................................................1
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1.1Direct Conversion Transmitters............................................................1
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1.2Dual-Conversion Transmitter................................................................3
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1.3 Transmitters Based on VCO Modulation.............................................3
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1.4Offset-PLL Architecture.........................................................................6
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1.5Envelope Elimination and Restoration (EER)......................................6
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1.6Polar-Loop Transmitter.........................................................................9
!\CoJ.5=
1.7Linear Amplification with Nonlinear Components (LINC)..............10
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1.8Combined Analogue Locked LoopUniversal Modulator (CALLUM)
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14
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1.9Linear Amplification Employing Sampling Techniques (LIST).......15
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1.10Transmitters Based on Bandpass Delta Sigma Modulator...........17
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REFERENCES.............................................................................19
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2. POWER AMPLIFIER LINEARIZATION.....................25
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2.1Feedforward...........................................................................................25
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2.2Cartesian Modulation Feedback..........................................................29
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2.3Predistortion..........................................................................................31
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2.3.1 Analog Predistortion..............................................................................33
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2.3.2 Mapping Predistortion...........................................................................35
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2.3.3 Complex Gain Predistortion..................................................................36
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2.3.4 Polar Predistortion.................................................................................38
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2.3.5 RF-Predistortion Based on Vector Modulation.....................................39
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2.3.6 Data Predistorters..................................................................................41
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REFERENCES.............................................................................41
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3.DIGITAL COMPENSATION METHODS FOR
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ANALOG I/Q MODULATOR ERRORS.......................................49
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3.1Quadrature Modulator ErrorsCompensation...................................52
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3.1.1 Symmetric Compensation Memm thod........................................................53
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3.1.2 Partial Correction of Mixer Nonlinearity in Quadrature Modulators....55
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3.1.3 Asymmetr
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ic Compensation Method......................................................56
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igital Precompensation Method without Training Signal...................57
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3.1.4 D
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REFERENCES.............................................................................58
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4. DIRECT DIGITAL SYNTHESIZERS............................61
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4.1Conventional Direct Digital Synthesizer.............................................61
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put DDS.................................................................................63
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4.2Pulse Out
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4.3DDS Architecture for Modulation Capability....................................65
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QAM Modulator....................................................................................65
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4.4
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REFERENCES.............................................................................69
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5.RECURSIVE OSCILLATORS.........................................73
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5.1 Direct-Form Oscillator.........................................................................73
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5.2 Coupled-Form Complex Oscillator.....................................................76
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REFERENCES.............................................................................79
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6.
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CORDIC ALGORITHM...................................................81
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6.1 Scaling of III andQ ...............................................................................84
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n n
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6.2 Quantization Errors in CORDIC Algorithm......................................85
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6.2.1 Approximation Error.............................................................................85
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6.2.2 Rounding Error of Inverse Tangents.....................................................86
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6.2.3 Rounding Error of III
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andQ ..................................................................87
x/ lW=EQ
n n
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6.3Redundant Implementations of CORDIC Rotator............................87
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6.4Hybrid CORDIC...................................................................................88
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6.4.1 Mixed-Hybrid CORDIC Algorithm......................................................89
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6.4.2 Partitioned-Hybrid CORDIC Algorithm...............................................90
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REFERENCES.............................................................................92
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SOURCES OF NOISE AND SPURS IN DDS.................97
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7.
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7.1Phase Truncation Related Spurious Effects........................................97
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7.2Finite Precision of Sine Samples Stored in LUT...............................103
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7.3Distribution of Spurs...........................................................................105
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7.4Phase Noise of DDS Output................................................................108
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7.5 Post-Filter Errors................................................................................110
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REFERENCES...........................................................................110
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8. SPUR REDUCTION TECHNIQUES IN SINE OUTPUT
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DIRE
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CT DIGITAL SYNTHESIZER...........................................113
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8.1 Nicholas Modified Accumulator........................................................114
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8.2 Non-Subtractive Dither.......................................................................116
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8.2.1 Non-Subtractive Phase Dither.............................................................116
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8.2.2 First-Order Analysis............................................................................117
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8.2.3 Non-Subtractive Amplitude Dither.....................................................121
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8.3 Subtractive Dither...............................................................................122
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ase Dither..........................................................123
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8.3.1 High-Pass Filtered Ph
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8.3.2 High-Pass Filtered Amplitude Dither..................................................123
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8.4Tunable Error Feedback in DDS.......................................................124
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8.4.1 Phase EF..............................................................................................125
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8.4.1.1Phase EF for Cosine DDS........................................................126
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8.4.1.2P
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hase EF for Quadrature DDS.................................................128
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plitude EF......................................................................................129
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8.4.2 Am
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8.4.2.1Amp
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litude EF for Cosine DDS................................................131
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litude EF for Quadrature DDS.........................................132
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8.4.2.2Amp
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8.5Implementations..................................................................................134
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8.6 Measurement Results..........................................................................134
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8.7Conclusions..........................................................................................135
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REFERENCES...........................................................................135
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9.BLOCKS OF DIRECT DIGITAL SYNTHESIZERS..139
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9.1Phase Accumulator.............................................................................139
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9.2Phase to Amplitude Converter...........................................................143
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9.2.1 Non-Linear D/A Converter..................................................................145
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9.2.2 Exp
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loitation of Sine Function Symmetry............................................145
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9.2.3 Com
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pression of Quarter-Wave Sine Function.....................................147
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9.2.3.1Difference Algorithm...............................................................147
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9.2.3.2Splitting into Coarse and Fine LUTs........................................149
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9.2.3.3Angle Decomposition...............................................................150
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9.2.3.4Modified Sunderland Architecture...........................................152
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9.2.3.5Nicholas Architecture...............................................................153
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9.2.3.6Polynomial Approximations....................................................155
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9.2.3.6.1Piecewise Linear Interpolation..........................................156
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9.2.3.6.2High Order Piecewise Interpolation..................................158
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9.2.3.6.3Taylor Series Approximation............................................160
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9.2.3.6.4C
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hebyshev Approximation...............................................161
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9.2.3.6.5Legendre Approximation..................................................163
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9.2.3.7Using CORDIC Algorithm as a Sine Wave Generator............164
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9.2.4 Simulation...........................................................................................167
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9.2.5 Summary of Memory Compression and Algorithmic Techniques......167
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9.3Filter.....................................................................................................168
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REFERENCES...........................................................................169
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10. CURRENT STEERING D/A CONVERTERS..............177
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10.1D/A Converter Specifications.........................................................177
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10.2 Static Non-Linearities.....................................................................178
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10.2.1 Random Errors..................................................................................179rr
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10.2.2 Systematic Errors..............................................................................181
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10.2.3 Calibration.........................................................................................183
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put Impedance...............................................................183
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10.3Finite Out
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10.4Other
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Systematic Errors... ..
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