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Chirp design for acoustical system identification.

¹Department of Mechanical Engineering, University of Hawaii, Honolulu 96822.

The Journal of the Acoustical Society of America

|March 1, 1992

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Repeated linear chirps (choips) offer a low peak factor for maximum signal power and a specified power band for enhanced signal-to-noise ratio. These broadband waveforms reduce measurement time in system identification, especially for time-varying systems.

Area of Science:

Signal Processing
System Identification
Acoustics

Background:

Broadband waveforms are crucial for accurate system identification.
Low peak-to-RMS amplitude ratio (peak factor) is essential for maximizing signal power and avoiding signal distortion.
Concentrating signal power within a specific frequency band improves signal-to-noise ratio (SNR).

Purpose of the Study:

Introduce and evaluate the repeated linear chirp (choip) waveform for system identification.
Highlight the benefits of choips, including low peak factor and controllable power band.
Demonstrate the efficiency of choips compared to traditional waveforms like impulses and maximum length sequences.

Main Methods:

Design and analysis of repeated linear chirp (choip) waveforms.

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Characterization of choip properties: peak factor and power band concentration.

Comparative evaluation of choips against impulse and maximum length sequence (MLS) waveforms in system identification scenarios.

Main Results:

Choips possess the lowest possible peak factor, maximizing signal power without saturation.
Choips allow for precise specification of the power band, concentrating over 99% of energy in acoustical systems.
Choips significantly reduce measurement time for system identification, particularly for dynamic systems, compared to impulse and MLS waveforms.
Choip design for analog-digital systems is straightforward and minimizes leakage and aliasing.

Conclusions:

Repeated linear chirps (choips) are highly effective broadband signals for system identification.
The unique properties of choips (low peak factor, specified power band) enable faster and more accurate measurements.
Choips offer a superior alternative to impulse and MLS waveforms, especially in applications involving time-varying systems and acoustical environments.