Combined BER Analysis for Time-Frequency Synchronization Schemes for MB-OFDM UWB

In this paper we present the closed form expression of bit-error-rate (BER) of a convolution coded MB-OFDM Ultra-Wideband (UWB) system. The analysis considers the log-normal fading statistics of UWB channels and captures the estimation error variances of timing and carrier frequency offset (CFO) estimation by our already published synchronizers ATS and MBAFS respectively. The derivation invokes moment generating function (MGF) for log-normal fading statistics and the Gauss-Hermite quadrature integration to deliver average BER expression for rate Rc coded QPSK modulated MB-OFDM system with ATS and MBAFS synchronizers and least square (LS) channel estimator. The analytical result is validated with simulation in the high delay spread UWB channel model CM3. This analysis helps in thorough understanding on the performance of an OFDM based communication system in an Ultra-Wideband environment.