The theory of bootstrapped algorithms and their applications to cross polarization interference cancelation
Department of Electrical and Computer Engineering
Doctor of Philosophy
Lu, Chung H.
Greenstein, Larry J.
Data Transmission Systems
Dual-polarized transmission has become an important method for frequency re-use, particularly in satellite and microwave radio communication. Nevertheless, cross-polarization interference, which is inherent to this method, may cause degradation in system performance.
Different canceler [sic] structures have been proposed to mitigate the effect of cross-polarization. Among these are the diagonalizer, the least mean square (LMS) canceler [sic] and the bootstrapped cancelers [sic]. Bootstrapped canceler [sic] schemes have been proposed and implemented in different applications, such as satellites, tactical communications, and quadrature amplitude madulation [sic] (QAM) dual polarized microwave radio. Nevertheless, no attempt was made in the past to quantify the probability of error of dual polarized transmission systems when such cancelers [sic] are used, nor were important issues such as stability and the dynamic behavior of algorithms controlling such cancelers [sic] studied.
In this thesis, the error probability performance of dual polarized QAM transmission, for nondispersive fading channels and different configurations of bootstrapped cross-pol cancelers [sic], is derived and compared to the performance for other cancelers [sic]. Stability analyses of different canceler [sic] configurations are investigated, and an application of orthogonal perturbation sequences in controlling the bootstrapped cancelers [sic] is considered.
It is shown that the error probability performance of the bootstrapped canceler [sic] is always better than that of other cancellers, such as the LMS canceler [sic]. It is also shown that, when the bootstrapped canceler [sic] is designed to meet certain conditions, it is asymptotically stable in converging to the calculated optimal points. Controlling the cancelers [sic] with adaptive algorithms using orthogonal dithering sequences is shown to be satisfactory; the canceler [sic] converges in the mean to the optimal condition.
The results indicate that bootstrapped algorithms are faster than other algorithms. Considering the fact such cancelers [sic] do not require decision feedback for their operation, we can conclude that bootstrapped algorithms are not only advantageous for cross polarization cancelation [sic], but perhaps suitable for other adaptive signal processing applications, as well.
njit-etd1991-020 (248 pages ~ 14,120 KB pdf)
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Front Matter (Title Page, Abstract, Table of Contents, etc. ~ 16 pages ~ 1,048 KB pdf)
Chapter 1: Introduction (6 pages ~ 565 KB pdf)
Chapter 2: Dual Polarization Channel and Cross-Polarization Cancelers (28 pages ~ 2,680 KB pdf)
Chapter 3: Performance Analysis of Power-Power Scheme (56 pages ~ 3,915 KB pdf)
Chapter 4: Performance Analysis of Correlation-Correlation Scheme (32 pages ~ 1,369 KB pdf)
Chapter 5: Performance Analysis of Power-Correlator Scheme (36 pages ~ 1,569 KB pdf)
Chapter 6: The Stability of Bootstrapped Algorithm (22 pages ~ 925 KB pdf)
Chapter 7: Dynamic Analysis of BXPC for M-ary Signals Using Perturbation Sequences (20 pages ~ 733 KB pdf)
Chapter 8: Performance Comparison and Conclusions (15 pages ~ 573 KB pdf)
Appendix A: Derivation of Some Equations (3 pages ~ 98 KB pdf)
Appendix B: Computing the Distribution of Random Variables/Gauss Quadrature Rules (9 pages ~ 400 KB pdf)
Appendix C: Approximation of Some Equations (6 pages ~ 204 KB pdf)
Appendix D (9 pages ~ 340 KB pdf)
Bibliography (3 pages ~ 230 KB pdf)
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Created December 6, 2001