A computable formula for the average bit error probability as a function of window size for the IEEE 802.15.3a UWB channel model

Abstract

Abstract-Binary signaling over the IEEE 802.15.3a ultra-wideband channel model is considered. For received waveforms observed during a finite time window, a formula is derived for the average bit error probability (BEP). The formula can be rapidly evaluated using Gaussian quadratures, and is used to study average BEP curves as a function of window size, which is then related to the percentage of energy captured. These techniques should be useful to system designers in assessing the performance impact of various signaling rates, guard times, etc.Index Terms-Cluster process, lognormal distribution, point process, Saleh-Valenzuela model, shot noise, ultra-wideband (UWB).

Bit error rate analysis in IEEE 802.15.3a UWB channels

“…Comparing to [8], we further consider the effects of the RAKE receiver and shadowing into the BER formula. This extension is nontrivial because of the following two reasons.…”

“…This implies we need one more integral in (11). We have tried to use the Craig's formula as in [8] to include the shadowing term into the BER formula as…”

“…The channel models in [4]- [7] do not consider the cluster phenomenon and shadowing effect as in the IEEE 802.15.3a channel model and therefore are insufficient and unrealistic for performance analysis compared to our proposed method. Secondly, [8]- [13] investigated the performance of UWB systems based on more sophisticated UWB channels, such as the IEEE 802.15.3a model. In [8], the authors applied the techniques of counting integrals and shot noise to derive the computation BER formula in the IEEE 802.15.3a channel assuming the received waveform can be observed over a finite-length window.…”

“…Secondly, [8]- [13] investigated the performance of UWB systems based on more sophisticated UWB channels, such as the IEEE 802.15.3a model. In [8], the authors applied the techniques of counting integrals and shot noise to derive the computation BER formula in the IEEE 802.15.3a channel assuming the received waveform can be observed over a finite-length window. In [9], the output SNR statistics at the RAKE receiver in the IEEE 802.15.3a channel was presented, but the explicit BER formula for RAKE receivers taking account of shadowing was not presented.…”

Statistical Characterization of Power Amplifier Nonlinearity at 60 GHz: MIMO Beam-forming Analysis

“…This section provides an overview of the double directional cluster ray (DDCR) channel model that is commonly used in modeling the propagation environment in indoor multi-path wireless channels [1], [6], [7]. DDCR channel models were introduced through the pioneering research of Saleh and Valenzuela, who characterized the indoor multi-path propagation environment using the clustering phenomenon [14].…”