On the performance of FBMC-PAM systems in frequency-selective Rayleigh fading channels

On single-tap equalization for an FBMC multicarrier system in wireless channels

“…In this section the BER of the optimum MMSE single-tap receiver (labeled as SC MMSE) based on (22) in frequency-selective Rayleigh fading channel is assessed via computer simulations and compared with that of the single-tap equalizer (labeled as SC) based on (30), the exact expression of the gain of the useful term in the decision variable [15], that of the single-tap equalizer (labeled as SCA)…”

“…based on (62) and that of the asymptotic (M 1) expression of the optimum MMSE single-tap receiver (labeled as SCA MMSE) based on (22). In the figures the performance of the 2M-4M receiver equalizer is also reported, and, moreover, the BER in the ideal interference-free condition [15] is presented. The simulation results are obtained under the following conditions:…”

“…In ( 14) Dm [i] is the decision variable for AWGN (see (12)) evaluated by the receiver and a m is the complex gain used by the single-tap equalizer to achieve satisfactory performance in a multipath channel. By substituting (14) in (15) and taking into account that…”

Efficiency of two decoders based on hash techniques and syndrome calculation over a Rayleigh channel

“…Because of noise in the channel, the sequence that the recipient gets is not constantly similar to the one transmitted by emitter. Let «h» be the binary version of the received sequence «r», the polynomial representation of «h» can be written as (1), where c(X) is a codeword in polynomial representation and e(X) is error added by the channel in polynomial representation. The syndrome vector «s» in representation form:…”

“…Several recent studies have been interested in the investigation of additive white gaussian noise (AWGN) and Rayleigh channels in different environments [1]- [8]. Mattera et al [1] presented a filter bank multicarrier layout at the base of a sine model filter adopting an overlapping factor equal to 2. To test their solution, they have used it on a frequency-selective Rayleigh fading channel.…”