Matrix Dilations via Cosine-Sine Decomposition

Abstract

This report originated in the Eta (infinity) Research Initiative of the Office of Naval research and the In-House Laboratory Independent Research (ILIR) Program of Space and Naval Warfare Systems Center San Diego (SSC San Diego). These programs focused on Eta (infinity) engineering for fleet applications wideband impedance matching and wideband amplifier optimization. Research in these applications produced several papers [33], [32], [2], [3], four patents, a book [1], and sparked the Defense Advanced Research Projects Agency's interest in digital Eta (infinity) engineering. Eta (infinity) engineering computes the best possible performance bounds. For example, a wideband antenna should be matched to the line impedance to minimize power and prevent amplifier burnout. The circuit designer matches the antenna by searching for a lossless 2-port that minimizes the Voltage Standing Wave Ratio (VSWR).Traditionally, the circuit designer guesses a 2-port topology and then optimizes over its circuit elements. This process is repeated over various topologies, hoping that a 2-port that is 'good enough" turns up. In contrast, ETA (infinity) engineering computes the smallest VSWR attainable by any lossless matching 2-port independent of circuit topology [21]. this best VSWR provides an absolute benchmark to assess candidate circuits and brings some order to matching-circuit selection.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2006
Accession Number
ADA446226

Entities

People

  • D. Arceo
  • J. C. Allen

Organizations

  • Naval Information Warfare Systems Command

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analytic Functions
  • Antennas
  • Circuits
  • Decomposition
  • Electrical Engineering
  • Engineering
  • Engineers
  • Equations
  • Frequency
  • Frequency Bands
  • Harmonic Analysis
  • Hilbert Space
  • Impedance
  • Network Science
  • Numbers
  • Scattering
  • Signal Processing

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science/Meteorology
  • Electronics Engineering

Technology Areas

  • Space