Results on Cyclic Signal Processing Systems,

Abstract

We present a state space description for cyclic LTI systems which find applications in cyclic filter banks and wavelets. We also revisit the notions of reachability and observability in the cyclic context, and show a number of important differences from traditional noncyclic case. A number of related problems such as the paraunitary interpolation problem and the cyclic paraunitary factorizability problem can be understood in a unified way by using the realization matrix defined by the state space description.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA349620

Entities

People

  • Palghat Vaidyanathan

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Computations
  • Convolution
  • Digital Filters
  • Eigenvalues
  • Equations
  • Filters
  • Frequency
  • Frequency Response
  • Interpolation
  • Sequences
  • Signal Processing

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Programming and Software Development.

Technology Areas

  • Space