Questions concerning the detection and estimation of signals in noise using the discrete wavelet transform are considered. A theorem is presented that shows the discrete wavelet transform of white noise is spread out over all the transform plane. It is established that a signal which is represented
Wavelets and Binary Coalescences Detection
✍ Scribed by Jean-Michel Innocent; Bruno Torrésani
- Book ID
- 102564064
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 139 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1063-5203
No coin nor oath required. For personal study only.
✦ Synopsis
Gravitational waves generated by coalescing binary systems of neutron stars or black holes are expected to behave like chirps, i.e., amplitude and frequency modulated signals, buried in strongly correlated noise, with a very low signal-to-noise ratio. This note presents a wavelet-based algorithm for on line processing and detection of such signals from interferometric detectors which are currently being constructed and discusses a few examples. The details of the method and more complete simulations will be described in a forthcoming publication.
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