Doctoral Dissertations


Tiange Shao


"This dissertation proposes four new algorithms based on fractionally lower order statistics for adaptive filtering in a non-Gaussian interference environment. One is the affine projection sign algorithm (APSA) based on L₁ norm minimization, which combines the ability of decorrelating colored input and suppressing divergence when an outlier occurs. The second one is the variable-step-size normalized sign algorithm (VSS-NSA), which adjusts its step size automatically by matching the L₁ norm of the a posteriori error to that of noise. The third one adopts the same variable-step-size scheme but extends L₁ minimization to Lp minimization and the variable step-size normalized fractionally lower-order moment (VSS-NFLOM) algorithms are generalized. Instead of variable step size, the variable order is another trial to facilitate adaptive algorithms where no a priori statistics are available, which leads to the variable-order least mean pth norm (VO-LMP) algorithm, as the fourth one. These algorithms are applied to system identification for impulsive interference suppression, echo cancelation, and noise reduction. They are also applied to a phased array radar system with space-time adaptive processing (beamforming) to combat heavy-tailed non-Gaussian clutters. The proposed algorithms are tested by extensive computer simulations. The results demonstrate significant performance improvements in terms of convergence rate, steady-state error, computational simplicity, and robustness against impulsive noise and interference"--Abstract, page iv.


Zheng, Y. Rosa

Committee Member(s)

Stanley, R. Joe
Grant, Steven L.
Wen, Xuerong
Moss, Randy Hays, 1953-


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


United States. Air Force. Office of Scientific Research


Missouri University of Science and Technology

Publication Date

Summer 2011

Journal article titles appearing in thesis/dissertation

  • Affine projection sign algorithm robust against impulsive interference
  • Variable step-size normalized sign algorithm for acoustic echo cancellation
  • Variable step-size normalized fractionally low-order moment algorithms for non-Gaussian interference environment
  • Variable step-size LMP algorithm for heavy-tailed interference suppression in phased array radar
  • Fast-converging space-time adaptive processing algorithm for non-Gaussian clutter suppression


xii, 115 pages

Note about bibliography

Includes bibliographical references.


© 2011 Tiange Shao, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Adaptive control systems
Array processors
Echo suppression (Telecommunication)
Space time codes

Thesis Number

T 9781

Print OCLC #


Electronic OCLC #