Title:
|
Sampling walls in signal detection of Bernoulli nonuniformly sampled signals
|
Author:
|
Font Segura, Josep; Vázquez Grau, Gregorio; Riba Sagarra, Jaume
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. SPCOM - Grup de Recerca de Processament del Senyal i Comunicacions |
Abstract:
|
Best Paper Award for the Signal Processing for Communication Symposium, 2013 IEEE International Conference on Communications (ICC), atorgat per la IEEE Communications Society |
Abstract:
|
In this work, we show the existence of sampling walls in signal detection of nonuniformly sampling wideband signals in the presence of noise uncertainty. A sampling wall is the sampling rate below which the target error probabilities (namely the missed detection and false alarm probabilities) cannot be achieved at a given signal to noise ratio (SNR) regardless the number of acquired samples. Contrary to existing works, we address the signal detection as a binary hypotheses testing problem without having to reconstruct neither the signal nor the spectrum from the observations. Specifically, we adopt a Bernoulli distributed sampler as it exhibits good tradeoff properties between complexity and performance. We show that Bernoulli nonuniform sampling suffers from noise enhancement, which translates into a whitening effect in the correlation of the legacy signal. Therefore, in the presence of noise uncertainty, we derive explicit expressions for sampling walls as a function of the legacy signal occupation, the SNR and the noise uncertainty level. Finally, numerical results are further provided to assess the behavior of the sampling walls and signal detection performance. |
Abstract:
|
Peer Reviewed |
Abstract:
|
Award-winning |
Subject(s):
|
-Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors::Xarxes de banda ampla -Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat -Correlation (Statistics) -Broadband communication systems -Bernoulli -Noise uncertainty -Nonuniform sampling -Sampling walls -Signal detection -SNR walls -Wideband -Correlació (Estadística) -Telecomunicació de banda ampla, Sistemes de |
Rights:
|
|
Document type:
|
Article - Published version Conference Object |
Share:
|
|