Characteristic and Moment Generating Functions of Generalised Pareto (GP3) and Weibull Distributions

Muraleedharan, G.; Soares, C. Guedes

doi:10.9734/jsrr/2014/10087

Cited by 10 publications

(10 citation statements)

References 15 publications

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“…Hosking and Wallis (1997) detailed the expressions for the distributions' L-moments in terms of its parameters and Hosking (2005) furnished the FORTRAN routines for the estimations of sample L-moments and gamma and GP3 distributions. Muraleedharan and Guedes Soares (2014) illustrated the expressions for the parameters in terms of the L-moments λ 1 , λ 2 , L-skewness (τ 3 ) and L-kurtosis (τ 4 ) of 3-parameter Weibull distribution.…”

Section: Resultsmentioning

confidence: 99%

On the distribution of significant wave height and associated peak periods

Muraleedharan

Lucas

Martins

et al. 2015

Coastal Engineering

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Section: Resultsmentioning

confidence: 99%

On the distribution of significant wave height and associated peak periods

Muraleedharan

Lucas

Martins

et al. 2015

Coastal Engineering

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“…We note that G(r) is a strictly decreasing over [r min ; r max ]. Please note that the above results can also be derived using the characteristic function of the GEV distribution calculated in [28].…”

Section: Appendix D Proof Of Lemma 4 -Part Imentioning

confidence: 94%

EVM Closed-Form Expression for OFDM Signals With Tone Reservation-Based PAPR Reduction

Hassan

Crussière

Hélard

et al. 2020

IEEE Trans. Wireless Commun.

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Peak to average power ratio (PAPR) reduction of OFDM signals has extensively been studied in the literature. Tone Reservation (TR) is one of the most famous algorithms and has already been included in some digital television standards such as DVB-T2 and ASTC3.0. However, the literature is still lacking theoretical analysis and performance bounds for the PAPR reduction of OFDM signals, especially using TR algorithms. For the first time, this paper provides fundamental results establishing the links between TR-PAPR reduction and the remaining signal distortions at the output of a non-linear high power amplifier (HPA) with and without memory effects. We first derive a generic EVM expression relying on the statistical characteristics of the samples composing the time domain signal and for any PAPR reduction technique. Computing these moments in the case of the quadratically constrained quadratic problem (QCQP) algorithm known as the optimal solution to the TR-PAPR reduction problem allows us to get the lower bound of the EVM of OFDM signals after TR-PAPR reduction and nonlinear HPA. As a reference, we also provide the EVM expression using a clipping-based PAPR reduction method. The obtained EVM expressions have direct practical meaning since they are in function of the input power back-off (IBO) applied to the signal before the HPA. They also consist in a general analytical framework for OFDM PAPR reduction since they can be further exploited to analyze the performance of sub-optimal TR-based PAPR reduction algorithms.

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“…If a random variable Z has a generalized extreme value, the PDF of Z can be calculated as follows (Muraleedharan et al, 2011):…”

Section: Analog Beamforming Architecturementioning

confidence: 99%

Cluster Index Modulation for mmWave Communication Systems

et al. 2022

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In this study, a novel cluster index modulation (CIM) scheme, which is based on indexing the available clusters in the environment, is proposed for future mmWave communication systems. Exploiting the fact that the available clusters in the system are well separated in terms of their angular distribution, we selected the best path for each of them and then performed IM in an algorithmic manner to convey information bits. It is shown that by means of large antenna arrays and analog RF beamforming with the indexed clusters, the destructive effect of inter-beam/cluster interference can be remarkably mitigated. Also, we designed a hybrid beamforming architecture at the transmitter to further reduce the effect of residual inter-beam/cluster interference, where the analog RF beamformer is followed by a digital baseband precoder using the zero-forcing technique. Computer simulations reveal that the proposed scheme can provide better error performance than traditional mmWave communication, and the proposed hybrid architecture outperforms beam index modulation (BIM) for a point-to-point scenario. Semi-analytical derivations and closed-form unconditional pairwise error probability (UPEP) expressions are derived for both analog and hybrid architectures, which confirm the validity and superiority of our proposed scheme.

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Characteristic and Moment Generating Functions of Generalised Pareto (GP3) and Weibull Distributions

Cited by 10 publications

References 15 publications

On the distribution of significant wave height and associated peak periods

On the distribution of significant wave height and associated peak periods

EVM Closed-Form Expression for OFDM Signals With Tone Reservation-Based PAPR Reduction

Cluster Index Modulation for mmWave Communication Systems

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