Optimal Strategies for Sinusoidal Signal Detection
Bruce Allen, Maria Alessandra Papa, Bernard F. Schutz
TL;DR
This paper develops optimal detection strategies for sinusoidal signals in noisy environments, crucial for gravitational wave detection, especially when the signal phase is unknown and the frequency-time product is non-integer.
Contribution
It introduces new optimal and nearly-optimal detection strategies tailored for challenging conditions in gravitational wave signal analysis.
Findings
Derived optimal detection strategies for unknown phase signals.
Extended strategies to non-integral frequency-time products.
Applicable to gravitational wave continuous signal detection.
Abstract
We derive and study optimal and nearly-optimal strategies for the detection of sinusoidal signals hidden in additive (Gaussian and non-Gaussian) noise. Such strategies are an essential part of algorithms for the detection of the gravitational Continuous Wave (CW) signals produced by pulsars. Optimal strategies are derived for the case where the signal phase is not known and the product of the signal frequency and the observation time is non-integral.
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