Minimizing The Number of Effective Channel Taps by Energy Optimization in Communications Systems

Channel delays and mobility cause the transmitted signal to propagate in both time and frequency regions, resulting in inter-symbol and inter-carrier interference, respectively. The filter structures used in the transmitter and receiver structures for impact shaping affect the size of the interference between these symbols and carriers. In this study, the composite effects of the wireless environment and the filters used were examined on the equalization of multi-carrier systems and the determination of the appropriate filter structure was studied. The number of effective taps of the composite channel effect was obtained as a function of the channel, the transmitter/receiver filters and the signal to noise ratio (SNR). For this purpose, the composite channel was modeled as an symbol-spaced finite impulse response (FIR) filter, then the AIC (Akaike Information Criterion) method was used to determine the number of taps. Subsequently, the transmitter/receiver filter types were determined which minimized the effective taps of the composite channel model by energy optimization in the equalization process.