The UWB-OFDM Channel Analysis in Frequency

Abstract

In this paper, the ultra-wideband channel with orthogonal frequency division multiplexing (UWB-OFDM) is analyzed in the frequency domain. For UWB-OFDM channels with log-normal fading in the time domain, we show that the amplitude of each subcarrier can be approximated by a Nakagami-m random variable, where the fading parameter, the mean power and the correlation coefficient are expressed in terms of the following parameters: time arrival of the clusters, inter-arrival time of rays inside clusters, and power decay constants of rays and clusters

Frequency UWB Channel

“…(5). We will show that if the magnitude denoted by |x l b k,l | in time of each of the 802.15.3a UWB channel contributions is modeled as a lognormal or Nakagami-m as the 802.15.4a, random variable (RV) and the number of MPC is high, the magnitude of the ith subcarrier denoted by |H(f i )|=r i , can be approximated by a Nakagamim RV with equivalent fading parameter i eq m , and equivalent average power , Llano, 2009) expressed as a function of the average time of arrival of the clusters, 1/L, of the rays within a cluster, 1/l, decay rate of the cluster 1/h, and rays 1/g. i.e.,…”

“…The nth moment of the Nakagami-m distribution is given by (Nakagami, 1960 Err in the numerator, is obtained according to (Llano et al, 2009)  …”

“…where, 24and Eq. 25, one can be obtain a closed-form general expression of the power correlation coefficient for MB-OFDM UWB channel in frequency according to (Llano et al, 2009)…”

“…Particularizing Eq. (33) for the 802.15.3a MB-OFDM UWB channel is obtained to according (Llano et al, 2009) 2, ,,…”

“…Average arrival time between clusters and rays inside a cluster is obtained from Eq. (9) according to (Llano, et al, 2009) as…”