A novel adaptive mismatch cancellation system for quadrature IF radio receivers

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A novel adaptive mismatch cancellation system for quadrature IF radio receiversA thesis submitted to the Faculty of Graduate Studies and Research
in partial fulfillment of the requirements for the degree of Master of Engineering Ottawa-Carleton Institute for Electrical Engineering,
Department of Electronics,
Carleton University,
Ottawa, Ontario, Canada  
Li Yu 1997 Chapter 1 Introduction ......................................................................................1

1.1. Motivation and Introduction .................................................................... 1
1.2. Contributions ........................................................................................... 3
1.3. Thesis Outline .......................................................................................... 4

Chapter 2 Complex IF Receivers ......................................................................6

2.1. Introduction .............................................................................................. 6
2.2. Complex Filters ........................................................................................ 6
2.3. Complex Sigma-Delta Modulators .......................................................... 9

2.3.1. Architecture of a Fourth Order Complex Sigma Delta A/D ...................... 9
2.3.2. Advantages of Complex Bandpass Sigma-Delta Modulators .................. 10
2.3.3. Mismatch Problem of I/Q Systems ........................................................... 11

2.4. Complex IF Receiver .............................................................................. 14

2.4.1. Structure of a Single IF Receiver ............................................................. 14
2.4.2. Mismatch Problems ................................................................................. 14

2.4.2.1 Gain and Phase Imbalance .......................................................................15
2.4.2.2 Coefficient Mismatch ................................................................................20

2.4.3. Interference .............................................................................................. 24
2.4.4. Examples .................................................................................................. 26

2.5. Conclusion ............................................................................................. 34

Chapter 3 An Adaptive Algorithm for I/Q Channel Mismatch Cancellation 36

3.1. Introduction ............................................................................................ 36
3.2. Previous Solutions ................................................................................. 37

3.2.1. Off-Line Adjustment ................................................................................. 37
3.2.2. Hilbert Transform .................................................................................... 39
3.2.3. An Improved Sigma Delta Modulator Structure ...................................... 40

3.3. An Adaptive Noise Canceler System ...................................................... 44
3.4. A Modified Adaptive Noise Canceler Model ......................................... 46

3.4.1. Problems in the Classic Model ................................................................ 473.4.2. Improved Model ....................................................................................... 48

3.5. Complex LMS Algorithm ........................................................................ 50

3.5.1. A Basic Complex LMS Algorithm ............................................................ 50
3.5.2. A Modified Algorithm .............................................................................. 51
3.5.3. Decimation Filtering ................................................................................ 52

3.6. A Simulink Model for the Complex A/D and the Modified Algorithm ... 56
3.7. Simulation Results .................................................................................. 58
3.8. Further Application in Double Sampling Systems ................................. 61

3.8.1. A Gain Mismatch in Double Sampling Systems ....................................... 63
3.8.2. Uneven Clock Phases in Double Sampling Systems ................................ 65

3.9. Conclusion ............................................................................................. 66

Chapter 4 A Real Time Implementation and Further Applications ..............68

4.1. Introduction ............................................................................................ 68
4.2. A real-time Implementation ................................................................... 68

4.2.1. RF Front End ........................................................................................... 69
4.2.2. Complex Sigma Delta Modulator ............................................................ 69
4.2.3. Decimation Filters and Interface to the DSP Board ............................... 72
4.2.4. Analog Devices ASDP 21020 ................................................................... 76
4.2.5. ASIC Option ............................................................................................. 77

4.3. Clock Rate Matching on the Interfaces .................................................. 77
4.4. Performance of the real-time implementation ....................................... 78

4.4.1. Experimental Results ............................................................................... 78
4.4.2. Analysis of Experimental Results ............................................................. 79
4.4.3. SNR Versus Stepsize ................................................................................. 82
4.4.4. Orders of Adaptive filters Versus SNR ..................................................... 85
4.4.5. Location of Interference ........................................................................... 87

4.5. Conclusion ............................................................................................. 89

Chapter 5 Conclusion and Future Work ........................................................90

5.1. Summary ................................................................................................ 90
5.2. Conclusion ............................................................................................. 91
5.3. Future Work ........................................................................................... 92

5.3.1. ASIC Approach ........................................................................................ 92
5.3.2. N-path Systems ......................................................................................... 92APPENDIX A   Assembly Code for the Novel Adaptive Algorithm .......100
APPENDIX B   Coefficient Mismatch Effects in   Single-pole Complex
Filters ..............................................................................106
APPENDIX C   Power Inversion .............................................................108

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