Time-Variant Least Squares Harmonic Modeling

Abstract

An algorithm for harmonic decomposition of time-variant signals is derived from a least squares harmonic (LSH) technique. The estimates of harmonic amplitudes and phases are formulated as the solution of a set of linear equations for minimizing mean square error; the signal frequency is modeled by a linear or quadratic polynomial and obtained via a local search over polynomial coefficients. An initial estimate of signal frequency is necessary to reduce computation time. This method is capable of producing accurate and robust harmonic estimation in low SNR situations. We show applicability to high accuracy speech pitch and heart sound beat epoch estimation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA436659

Entities

People

  • Les Atlas
  • Qin Li

Organizations

  • University of Washington

Tags

Communities of Interest

  • Human Systems
  • Sensors

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Algorithms
  • Amplitude
  • Computations
  • Detection
  • Electrical Engineering
  • Equations
  • Errors
  • Frequency
  • Harmonic Analysis
  • Heart Rate
  • High Resolution
  • Noise
  • Polynomials
  • Speech Compression
  • White Noise

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Speech Processing/Speech Recognition.