# Chirplet Signals

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Chirplets are a generalization of sine-Gaussian waves. In this Demonstraton you can vary the frequency, quality factor, and chirp rate to observe their effect on the resulting signal. You can also hear the chirplet by pressing the play symbol in the right graphic. You can change the chirp rate by keeping the frequency constant and hear how the "chirpiness" of the signal changes.

Contributed by: Satya Mohapatra (April 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The chirplets described in this Demonstration are a generalization of sine-Gaussian signals. A sine-Gaussian signal is characterized by its central frequency and quality factor (ratio of central frequency to the bandwidth of the signal), whereas a chirplet is characterized by a central frequency, quality factor, and chirp rate [1]. Using chirplets in gravitational-wave burst searches has shown to increase detection efficiency compared to burst searches using a sine-Gaussian basis [2].

References

[1] E. Chassande-Mottin, M. Miele, S. Mohapatra, and L. Cadonati. "Detection of Gravitational-Wave Bursts with Chirplet-Like Template Families." *arXiv*. (May 28, 2010) arxiv.org/abs/1005.2876.

[2] S. Mohapatra, Z. Nemtzow, E. Chassande-Mottin, and L. Cadonati. "Performance of a Chirplet-Based Analysis for Gravitational Waves from Binary Black Hole Mergers." *arXiv*. (Nov 15, 2011) arxiv.org/abs/1111.3621.

## Permanent Citation

"Chirplet Signals"

http://demonstrations.wolfram.com/ChirpletSignals/

Wolfram Demonstrations Project

Published: April 27 2012