Reliability of Generalized Normal Laplacian Distribution Model in TH-BPSK UWB Systems

An improved UWB receiver employing generalized normal-Laplacian distribution model

“…An MME, which is computationally simple, is considered for parameter estimation of the GNL distribution parameters [5]. In the GN L(μ, σ 2 , α, β, ρ) distribution, μ is a location parameter and σ 2 is a scale parameter influencing on the spread of the GNL distribution.…”

“…Recently, a normal-Laplace (NL) distribution function has been generalized to a new probability distribution case, which is called a generalized normalLaplace (GNL) distribution [3,4]. In [5], the GNL distribution has been considered for analyzing the performance of the conventional single-user correlation receiver in multi-user UWB systems. In this letter, an improved multi-user UWB receiver based on the GNL distribution is introduced for TH UWB signal detection.…”

Novel multiuser ultra‐wideband receiver based on adaptive modelling of generalised normal‐Laplace distribution

“…With the assumption of the symmetric GNL distribution case (α = β), the resulting estimates are defined as a = b = 20g 4 /g 6 , r = 100g 3 4 /3g 2 6 , σ 2 = γ 2 /ρ − 2/α 2 and μ = γ 1 /ρ. Here γ u , u = 1, 2, 4, 6, can be obtained through the Taylor series expansion of the sample cumulant generating function, which are given as γ 1 = r 1 , g 2 = r 2 − r 2 1 , g 4 = r 4 − 6r 4 1 + 12r 2 1 r 2 − 3r 2 2 − 4r 1 r 3 and g 6 = r 6 − 120r 7 1 + 30r 3 2 − 10r 2 3 − 6r 1 r 5 − 15r 2 r 4 + 30r 2 1 r 4 − 30r 1 r 2 2 − 36r 2 1 r 3 − 84r 3 1 r 3 − 228r 2 1 r 2 2 + 360r 4 1 r 2 + 120r 1 r 2 r 3 [10]. Fig.…”

“…The conventional matched filter (CMF) receiver based on a Gaussian approximation (GA), which has been widely employed for UWB signal detection, underestimates its bit error rate (BER) performance under multiple access interference (MAI)-plus-noise environments [2][3][4][5]. In the recent contributions, better statistical probability models for the MAI-plus-noise than the GA have been introduced for developing enhanced multiuser UWB receivers [6][7][8][9][10][11][12]. In [6], a Laplace distribution has been used to model the MAI in the time-hopping (TH) UWB systems.…”

“…It is reported that the GLM UWB receiver surpasses the performance of the CMF UWB receiver and attains or exceeds the performance of the SL UWB receiver depending on the region of SNR values. In [10,11], a new statistical probability distribution, which is called a generalised normal-Laplace (GNL) distribution, has been employed for better modelling the MAI-plus-AWGN in the multiuser UWB systems. Recently, an improved GNL receiver has been presented for TH UWB signal detection on AWGN channels in [12].…”