ABSTRACT

This chapter presents a study on the impact of the number of multipath components, and the diversity order, on the asymptotic performance of Orthogonal Frequency-Division Multiplexing (OFDM) and Single Carrier with Frequency Domain Equalization (SC-FDE), in different channel coding schemes. It presents the performance results concerning the impact of the number of multipath components and the diversity on the performance of OFDM and SC-FDE receivers as well as the correspondent matched filter bound (MFB). The difference between the MFB and the achieved performance is higher for a moderate number of propagation components. However, for the general case in which different rays with different powers are considered, the calculation of the MFB is more complex. With diversity the performance approaches the MFB faster, with a small number of separable multipath components. It is well known that the maximum likelihood receiver represents the best possible receiver since it minimizes the probability of erroneous detection of a transmitted symbol.