Generalised error analysis of FRFT‐OFDM over Nakagami‐m fading channel with arbitrary m. Issue 9 (15th June 2017)

• Record Type: Journal Article
• Authors: Trivedi, Vinay Kumar; Kumari, Saraswati; Kumar, Preetam
• Is Part Of: IET communications. Volume 11:Issue 9(2017)
• Page Start: 1497
• Page End: 1502
• Publication Date: 2017-06-15
• Subjects: Nakagami channels -- OFDM modulation -- quadrature phase shift keying -- Fourier transforms -- Monte Carlo methods -- error analysis; generalised error analysis -- Nakagami‐m fading channel -- probability -- binary phase shift keying -- quadrature PSK modulated fractional Fourier transform based orthogonal frequency division multiplexing system -- QPSK FRFT‐based OFDM system -- carrier frequency offset -- CFO -- symbol error rate -- SER -- Monte Carlo simulation; Telecommunication systems -- Periodicals; Speech processing systems -- Periodicals; 621.38205
• DOI: 10.1049/iet-com.2016.1119
• Languages: English
• ISSNs: 1751-8628

Abstract

Abstract : In this study, generalised expression of probability of error ( P e ) for binary phase shift keying (BPSK) and quadrature PSK (QPSK) modulated fractional Fourier transform (FRFT)‐based orthogonal frequency division multiplexing (OFDM) system has been derived over frequency selective Nakagami‐ m fading channel for any arbitrary Nakagami parameter m in the presence of carrier frequency offset (CFO). The symbol error rate (SER) performance of FRFT‐based OFDM system has been found to be better than fast FT‐based OFDM system at different values of FRFT angle α for BPSK and QPSK. For different values of CFO, the optimum α at which the error rate is minimum has been found and used for analysis and simulation. It has been observed that over Nakagami‐ m frequency selective channel, SER expression of BPSK and QPSK for FRFT‐OFDM system exactly follows the Monte Carlo simulation in MATLAB.