Spectrum sensing method based on goodness of fit test using chi‐square distribution

Teguig, Djamal; Nir, Vincent Le; Scheers, Bart

doi:10.1049/el.2014.0302

Cited by 27 publications

(33 citation statements)

References 8 publications

(18 reference statements)

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“…Finally, by combining (13) and (14), fourth order joint cumulants of the random variable x -Ĉ 42,x can be expressed through the second order joint cumulants -Ĉ 21,c and fourth order joint cumulants -Ĉ 42,c of the received signal (random variable c) asĈ…”

Section: Ss Algorithms In a Rayleigh Fading Channelmentioning

confidence: 99%

“…There are many Goodness of Fit (GoF) tests based SS proposed in literature. One of the most important are Kolmogorov-Smirnov (it is not recommended when relevant parameters are estimated; it is performed when the mean and variance of the signal are known) and Anderson-Darling test (to decide whether the received samples are drawn from the noise Cumulative Distribution Function (CDF) or an alternative) [13], [14]. Likelihood GoF test based on Pearson Chi-square χ 2 test is proposed in [15].…”

Section: Introductionmentioning

confidence: 99%

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Spectrum Sensing Based on Higher Order Cumulants and Kurtosis Statistics Tests in Cognitive Radio

Bozovic¹,

Simić²

2019

RADIOENGINEERING

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In this paper, new algorithms for spectrum sensing in cognitive radio based on higher order cumulants and kurtosis are proposed. The cumulants represent statistical signal processing based on pattern recognition for signals of different structure, and has low implementation complexity. Kurtosis statistics are a well-known technique for testing the Gaussianity feature of the signals. Under the assumption that a detected signal can be modelled according to an autoregressive model, noise variance is estimated from that noisy signal. The simulation results show that spectrum sensing algorithms based on the estimated normalised values of joint higher order cumulants (of fourth and sixth orders) and kurtosis are reliable for a wide range of signal-to-noise ratio environments. In order to improve performances of the spectrum sensing, the combination of these statistics tests into unique one statistic test is proposed. Simulation results have verified improvement of the performances.

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Section: Ss Algorithms In a Rayleigh Fading Channelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spectrum Sensing Based on Higher Order Cumulants and Kurtosis Statistics Tests in Cognitive Radio

Bozovic¹,

Simić²

2019

RADIOENGINEERING

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“…This distribution function adaptability then can be tested by chi-square distribution method which has been broadly applied in fit test [22,23]. The test hypotheses are as follows:…”

Section: =1mentioning

confidence: 99%

A Two-Stage Queue Model to Optimize Layout of Urban Drainage System considering Extreme Rainstorms

Hu²

2017

Mathematical Problems in Engineering

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Extreme rainstorm is a main factor to cause urban floods when urban drainage system cannot discharge stormwater successfully. This paper investigates distribution feature of rainstorms and draining process of urban drainage systems and uses a two-stage single-counter queue methodM/M/1→M/D/1to model urban drainage system. The model emphasizes randomness of extreme rainstorms, fuzziness of draining process, and construction and operation cost of drainage system. Its two objectives are total cost of construction and operation and overall sojourn time of stormwater. An improved genetic algorithm is redesigned to solve this complex nondeterministic problem, which incorporates with stochastic and fuzzy characteristics in whole drainage process. A numerical example in Shanghai illustrates how to implement the model, and comparisons with alternative algorithms show its performance in computational flexibility and efficiency. Discussions on sensitivity of four main parameters, that is, quantity of pump stations, drainage pipe diameter, rainstorm precipitation intensity, and confidence levels, are also presented to provide guidance for designing urban drainage system.

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“…Statistical features of received signals are often used for spectrum sensing [3]. Recently, several classical goodness of fit (GoF) tests, such as the Kolmogorov-Smirnov (KS), the Cramer-von Mises (CM), the Anderson-Darling (AD) and order statistics, have been introduced into spectrum sensing [4][5][6][7]. In [4], the AD test was used for sensing static primary signals.…”

mentioning

confidence: 99%

Spectrum sensing based on goodness of fit test with unilateral alternative hypothesis

Jin

Guo²,

Xi³

et al. 2014

Electron. lett.

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Spectrum sensing method based on goodness of fit test using chi‐square distribution

Cited by 27 publications

References 8 publications

Spectrum Sensing Based on Higher Order Cumulants and Kurtosis Statistics Tests in Cognitive Radio

Spectrum Sensing Based on Higher Order Cumulants and Kurtosis Statistics Tests in Cognitive Radio

A Two-Stage Queue Model to Optimize Layout of Urban Drainage System considering Extreme Rainstorms

Spectrum sensing based on goodness of fit test with unilateral alternative hypothesis

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