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An improved crest factor minimization algorithm to synthesize multisines with arbitrary spectrum.

Yuxiang Yang1, Fu Zhang, Kun Tao

  • 1Department of Precision Instrumentation Engineering, Xi'an University of Technology, Xi'an 710048, People's Republic of China.

Physiological Measurement
|April 3, 2015
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Summary
This summary is machine-generated.

This study introduces an improved algorithm for synthesizing multisine signals with a low crest factor (CF). The method enhances signal-to-noise ratio for faster frequency response function (FRF) estimation, offering efficiency for various amplitude spectra.

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Area of Science:

  • Signal Processing
  • System Identification
  • Measurement Science

Background:

  • Low crest factor (CF) multisine signals improve signal-to-noise ratio (SNR) for frequency response function (FRF) estimation.
  • Existing synthesis methods include analytical and numerical approaches, each with limitations regarding spectrum type and computational cost.

Purpose of the Study:

  • To develop an improved algorithm for synthesizing low CF multisine signals.
  • To achieve efficient and effective multisine signal synthesis for arbitrary amplitude spectra.

Main Methods:

  • Combines the Schroeder analytical method with the Van der Ouderaa (VDO) iterative procedure.
  • Utilizes Schroeder phases as initial iterative phases.
  • Incorporates a logarithmic clip function within the VDO iteration for enhanced performance.

Main Results:

  • The proposed algorithm successfully synthesizes multisine signals with the lowest CF across diverse amplitude spectra.
  • Achieved lower CFs compared to previous analytical and numerical methods.
  • Demonstrated efficiency and speed in multisine signal synthesis.

Conclusions:

  • The improved algorithm offers a fast and efficient solution for synthesizing low CF multisine signals.
  • Effective for arbitrary user-prescribed amplitude spectra.
  • Facilitates high SNR and rapid FRF estimation.