Unified analysis of energy detectors with diversity reception in generalised fading channels

Adebola, Eyidayo; Annamalai, Annamalai

doi:10.1049/iet-com.2014.0199

Cited by 29 publications

(20 citation statements)

References 34 publications

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“…Next, the integral part in (27) can be solved using [42, (4)] and the final expression for N Q d;rc;W ei can be derived as For SC fusion scheme, in case of Weibull fading, the SC combiner output SNR's PDF is derived following [23]. An alternative expression for N Q d;sc;W ei can be obtained by inserting SC combiner output SNR and Q d under SC scheme given in [23] into (23) as…”

Section: 24mentioning

confidence: 99%

“…The only way to evaluate the expressions is to express them in terms of infinite series of confluent hypergeometric functions. In comparison, simple closed-form expressions for SLS performance can be evaluated (as shown later in the paper) for the special cases such as Nakagami-m. A complex mathematical framework in terms of contour integrals was developed in [27], and based on this framework, the performance of SLS and SLC over Äand Áchannels was analyzed in [28]. The framework is not straightforward, and final expressions involved integrals that decompose to closed-form expressions only for certain values of the fading parameters.…”

Section: Introductionmentioning

confidence: 99%

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Analytical performance of soft data fusion‐aided spectrum sensing in hybrid terrestrial‐satellite networks

Nallagonda¹,

Chandra

Roy

et al. 2016

Satell Commun Network

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Summary The cognitive radio (CR) technology is developed to help secondary users to utilize spectrum holes of the primary users (PUs) opportunistically. Accurate detection of spectrum holes via cooperative spectrum sensing (CSS) is essential for realization of CR protocols in next generation hybrid terrestrial‐satellite networks. Soft data fusion refers to a class of efficient CSS schemes for CR networks to find presence or absence of a PU. Each CR user senses the PU and transmits its sensing information in terms of energy obtained using energy detector to fusion center (FC). Next, any of the soft data schemes, which differ in technique of combining the energy information, may be performed at FC to acquire a final decision about a PU. In the present paper, numerical analysis of various soft data‐aided CSS schemes in different fading/shadowing environments is studied. In particular, closed‐form expressions of detection probability for the known soft data schemes are derived for each of the popular fading models. A comparative performance of soft combining schemes is illustrated for various network and channel conditions. Further, an optimal detection threshold that minimizes the total error is also indicated for different soft schemes. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: 24mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical performance of soft data fusion‐aided spectrum sensing in hybrid terrestrial‐satellite networks

Nallagonda¹,

Chandra

Roy

et al. 2016

Satell Commun Network

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“…In [10], an average detection probability over L correlated antennas in Nakagami-m channels employing SC diversity technique and MGF approach was derived for constant, exponential correlation and linear array of arbitrary correlation models. In [11], detection performance was investigated over generalized fading environment employing MGF approach. Independent but non-identically distributed branches were assumed with Square-Law Combining (SLC), Square-Law Selection (SLS) and MRC diversity.…”

Section: Introductionmentioning

confidence: 99%

“…In this work, we extend the investigations in [11] over both constant and exponential arbitrary number of correlated diversity branches employing PDF approach in order to introduce exact closed-form expressions. In PDF approach, detection probability is averaged over corresponding PDF of the total Signal to Noise Ratio (SNR) of the fading diversity branches.…”

Section: Introductionmentioning

confidence: 99%

Unified approach for performance analysis of Cognitive Radio Spectrum Sensing over correlated multipath fading channels

Al-Juboori

Fernando

2015

2015 IEEE 16th International Symposium on a World of Wireless, Mobile and Multimedia Networks (WoWMoM)

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In this work, we analyse the performance of Cognitive Radio Spectrum Sensing (CRSS) systems with multiple receiving antennas considering the effect of correlation among fading branches. Exact closed-form expressions for the average detection probabilities (P D ) are derived employing Probability Density Functions (PDF) approach for n.i.i.d.-L number of diversity branches over Nakagami-m fading channels with Maximal Ratio Combining (MRC) diversity. Performance analysis reveals the detrimental effect of the correlation on detection performance thus decreasing detection probability. However, results also show that this effect could be compensated through employing diversity combining technique and by increasing the diversity branches.

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“…In [2], the average detection probability (P d ) and the probability of false alarm (P f ) over Nakagami-m and Rice fading channels are evaluated. In [3][4][5][6][7][8][9][10][11], the performance of an ED is carried out over different generalised multipath fading channels. In [3,4], the behaviour of an ED over η − μ is studied.…”

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confidence: 99%

Performance analysis of energy detector over η − μ fading channel: PDF‐based approach

Al‐Hmood

Al-Raweshidy

2015

Electron. lett.

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The performance of an energy detector is analysed over an η − μ fading channel using the probability density function (PDF) of the received instantaneous signal-to-noise ratio. The η − μ is a generalised multipath fading channel that describes the non-line-of-sight wireless communications scenario. Novel, general, exact and closed-form analytic expressions for both average detection probability and the average area under the receiver operating characteristics curve are derived.Introduction: An energy detector (ED) is widely used to perform spectrum sensing in cognitive radio. This is because it has the lowest complexity in comparison with other methods such as matched filtering [1]. Thus, the performance of EDs has been extensively analysed over different channel models. In [2], the average detection probability (P d ) and the probability of false alarm (P f ) over Nakagami-m and Rice fading channels are evaluated. In [3][4][5][6][7][8][9][10][11], the performance of an ED is carried out over different generalised multipath fading channels. In [3,4], the behaviour of an ED over η − μ is studied. The analysis over α − μ which is used to model the non-homogeneous environments is investigated by Fathi and Tawfik [5]. The analysis in a line-of-sight communication scenario, i.e. κ − μ fading channel, is given in [6].It is noted that in [3,4], the moment generating function (MGF) of the received signal-to-noise ratio (SNR) is utilised to derive the measurements of metric expressions. However, these expressions are limited with some conditions such as the MGF should be a rational function and the fading parameters should be integer numbers. Although, a unified approach was recently suggested by the authors of [7-9] to solve this problem, it is still restricted with the expression of the MGF that should be in closed form. Furthermore, the final expression is an integral that is impossible to be solved analytically. In addition, in some cases it is difficult to derive the closed-form expression of the MGF. Therefore, the probability density function (PDF) is the best choice studying the performance of EDs with exact and closed-form analytic expressions. This approach was recently investigated by Sofotasios et al.[10], but the expression of P d is still limited by the integer values of the fading parameter. Thus, in this Letter, we derive general closed-form analytic expressions for both the P d and the average area under the receiver operating characteristics (AUC) using the PDF.

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Unified analysis of energy detectors with diversity reception in generalised fading channels

Cited by 29 publications

References 34 publications

Analytical performance of soft data fusion‐aided spectrum sensing in hybrid terrestrial‐satellite networks

Analytical performance of soft data fusion‐aided spectrum sensing in hybrid terrestrial‐satellite networks

Unified approach for performance analysis of Cognitive Radio Spectrum Sensing over correlated multipath fading channels

Performance analysis of energy detector over η − μ fading channel: PDF‐based approach

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