2008
DOI: 10.1109/jstsp.2007.914879
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SNR Walls for Signal Detection

Abstract: This paper considers the problem of detecting the presence/absence of signals in low SN R environments. The context is cognitive radios trying to opportunistically share spectrum along with potential primary users that must be detected in order to avoid causing harmful interference. Small modeling uncertainties are unavoidable in any practical system and so robustness to modeling uncertainties is a fundamentally important performance metric.We propose simple mathematical models for these uncertainties and esta… Show more

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Cited by 1,309 publications
(893 citation statements)
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References 18 publications
(18 reference statements)
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“…The fundamental limitations in energy detection found in this paper based on the constraint Equation (1) are different from the SNR wall introduced in [16], which is on the other hand a limitation regarding robustness of detectors. It is discovered in this paper that even when the noise variance keeps constant, some limitations still exist regarding the tradeoff between efficiency and noninterference.…”
Section: Introductionmentioning
confidence: 69%
See 1 more Smart Citation
“…The fundamental limitations in energy detection found in this paper based on the constraint Equation (1) are different from the SNR wall introduced in [16], which is on the other hand a limitation regarding robustness of detectors. It is discovered in this paper that even when the noise variance keeps constant, some limitations still exist regarding the tradeoff between efficiency and noninterference.…”
Section: Introductionmentioning
confidence: 69%
“…(ii) By taking σ 2 n and M fixed, we target to find minimum SNR and corresponding threshold λ satisfying the inequality in Equation (16). This also results in a nonlinear optimization problem as following:…”
Section: Thresholds By New Principlementioning
confidence: 99%
“…The timing and sensitivity requirements are in direct conflict with each other as increasing the sensing time improves sensitivity [10]. However, the 4µs limit is a hard limit imposed by the standard and therefore we will strive to achieve the needed sensitivity within the standard defined times.…”
Section: Constrai Ntsmentioning
confidence: 99%
“…Filtering the received signal with a matched filter before performing the detection (figure 5) will increase the sensitivity [10]. Given complete a priori knowledge of the modulation scheme, this filter corresponds to the receive filter used for demodulation and will provide the best possible detection rate.…”
Section: Fig 4 Simple Energy Detection Architecturementioning
confidence: 99%
“…The matched filter has a requirement of fewer signal samples, which grows as (1 / SNR) O for a target probability of false alarm at low SNRs [36,37]. Thus, there exists a SNR wall for a matched filtering method [38]. Moreover, matched filter detection requires that the received signals are demodulated.…”
Section: Spectrum Sensingmentioning
confidence: 99%