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Title: Performance Analysis of Shadowed Fading model for Indoor Wireless Communication
Authors: Shankar, Hari
Supervisor: Kansal, Ankush
Keywords: Shadowed Fading Model;κ-µ/gamma;FisherSnedecor;ABER;PDF;MGF
Issue Date: 17-Sep-2023
Abstract: In this thesis, the performance of the shadowed fading model over indoor wireless communication channels is presented. Three shadowed fading models namely; κ-µ/gamma, FisherSnedecor ( F ) and Rayleigh/TWDP are considered for obtaining the performance measures such as Average Bit Error Rate (ABER), Outage Probability and Channel Capacity. The analyses have been performed under different scenarios like single channel, multiple channel, and OFDM systems. In order to analyze the performance of shadowed fading for single-channel; κ-µ/gamma and Rayleigh/TWDP models have been considered. The expressions of Probability Density Function (PDF), Cumulative Distribution Function (CDF), Moment Generating Function (MGF), Moments, Outage Probability, Amount of Fading (AF), ABER for different modulations schemes and Channel Capacity over various adaptive transmissions protocols for κ-µ/gamma shadowed fading model have been derived. As special case, the numerical results have been presented for different parameters of the κ-µ/gamma model and compared with previous reported results. Further, the expressions of PDF, CDF, MGF, Outage Probability, and ABER for different modulation schemes for Rayleigh/TWDP shadowed fading model have also been presented. The numerical results have been presented for different parameter values of Rayleigh/TWDP model. The improvement in system performance is observed by varying the shadowing parameter. Fading has a significant role to degrade the performance of wireless communication systems. This fading effect can be mitigated by employing the diversity combining techniques at the receiver. MRC diversity is the best method to improve the SNR at the output of the receiver. Therefore, the performance of F shadowed fading model with MRC diversity for i.i.d. branches have been analyzed in this thesis work. Primarily, the expressions of MGF, Moments, AF, ABER and Channel Capacity for F shadowed fading model have been derived. Also, the numerical results for different multipath fading and shadowing parameter values of F shadowed fading model have been presented. In light shadowing environment, the new results converge to existing results of Nakagami-m and Rayleigh distribution. Additionally, the Monte Carlo simulations are provided to cross verify the derived expressions. In multipath propagation, generally, the time period of signal (symbol duration) becomes smaller than the delay time of the channel and that introduces inter-symbol interference (ISI). To remove the ISI effect, the OFDM technique is widely used which increases the symbol duration by converting the serial data stream into the parallel data stream. Also, in the real environment, the channel is not always stationary (transmitter and/or receiver also) and therefore inter-carrier interference (ICI) introduces in the received signal. The Fractional Fourier transform (FrFT) based OFDM technique can easily deal with this type of impairment. Thus, the performances of the OFDM system with Fast Fourier transform (FFT) and FrFT over F and κ-µ/gamma shadowed fading channels have also been analyzed in this research work. Particularly, the exact and approximate expressions of ABER for uncoded OFDM with FFT and FrFT have been derived. Both MQAM and MPSK signaling schemes have been considered to derive these expressions. Moreover, the ABER expressions for space-frequency block coded (SFBC)-OFDM with FFT and FrFT have also been derived to improve the quality and reliability of the received signal. Both exact and approximate BER results closely matched to each other. The derived expressions have been validated through Monte Carlo simulation results and previous existing results.
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