Prewhitening Followed by Sampling Versus Sampling Followed by Prewhitening for Detection

Autor: Kaushallya Adhikari, Steven Kay, Russell Costa
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: IEEE Access, Vol 12, Pp 179478-179487 (2024)
Druh dokumentu: article
ISSN: 2169-3536
DOI: 10.1109/ACCESS.2024.3505601
Popis: The detection of known signals in colored Gaussian noise typically involves applying a matched filter to prewhitened data samples in the discrete-time domain. This is achieved by sampling the continuous-time data and applying a prewhitener before applying a matched filter. An alternative approach switches the order of sampling and whitening; whitens the data using an analog prewhitener before sampling. These two methods have been widely regarded as equivalent when sampling at the Nyquist or a higher rate. In this study, we demonstrate that these approaches are indeed equivalent when all Nyquist or higher rate samples are utilized. However, when performing detection using only a subset of the Nyquist samples, the equivalence breaks down. We show that for sparse signal detection, these approaches diverge; the implementation utilizing an analog prewhitener followed by a sampler is both computationally feasible and superior in terms of detection performance.
Databáze: Directory of Open Access Journals
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