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General Structural Representations for Multi-Input Multi-Output Discrete-Time FIR and IIR Lossless Systems


Doğanata, Zinnur (1990) General Structural Representations for Multi-Input Multi-Output Discrete-Time FIR and IIR Lossless Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/h011-7b66.


Discrete-time lossless systems have been found to be of great importance in many signal processing applications. However, a representation for lossless transfer matrices that spans all such matrices with the smallest possible number of parameters has not been proposed earlier. Existing representations are usually for special cases and therefore not general enough. In this study, two general and minimal representations are presented for multi-input, multi-output FIR and IIR lossless systems. The first representation is in terms of planar rotations and it leads to multi-input, multi-output lattice structures. The second representation is in terms of unit-norm vectors and it enables shorter convergence times in optimization applications. A simple modification of this representation leads to structures that remain lossless under quantization. The structures that follow from these representations share some properties such as the orthogonality of the implementations, and minimality of the number of parameters and scalar delays they are. Since all lossless transfer matrices can be spanned by appropriately adjusting their parameters, these structures can be particularly useful in applications that involve optimization under the constraint of losslessness. Some examples of such applications are included.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Electrical engineering
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Electrical Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Vaidyanathan, P. P.
Thesis Committee:
  • Vaidyanathan, P. P. (chair)
  • Posner, Edward C.
  • Abu-Mostafa, Yaser S.
  • Knowles, James K.
  • McEliece, Robert J.
Defense Date:7 August 1989
Additional Information:Title in 1990 commencement program -- General Structural Representations for Multi-Input, Multi-Output Discrete-Time FIR and IIR Lossless Systems -- differs slightly from title in thesis file (PDF).
Record Number:CaltechETD:etd-02222007-083438
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:711
Deposited By: Imported from ETD-db
Deposited On:15 Mar 2007
Last Modified:04 Feb 2022 22:13

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