Statistical Properties of Double Hoyt Fading With Applications to the Performance Analysis of Wireless Communication Systems

• Published in: IEEE access 2018-01, Vol.6, p.19597-19609
• Main Authors: Hajri, Nazih, Youssef, Neji, Kawabata, Tsutomu, Patzold, Matthias, Dahech, Wiem
• Format: Article
• Language: English
• Subjects: Analytical models; average duration of fades (ADF); Channels; Codes; cumulative distribution function (CDF); Distribution functions; Double Hoyt fading channel model; Exact solutions; Fading; Gaussian processes; level-crossing rate (LCR); Mathematical analysis; Performance analysis; Phase shift keying; Probability density function; probability density function (PDF); Probability density functions; Propagation; Quadrature amplitude modulation; Rayleigh channels; Statistical analysis; symbol error probability (SEP); vehicular-to-vehicular (V2V) channels; Wireless communication; Wireless communication systems; Wireless communications
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2018.2820746

In this paper, we investigate the statistical properties of double Hoyt fading channels, where the overall received signal is determined by the product of two statistically independent but not necessarily identically distributed single Hoyt processes. Finite-range integral expressions are first derived for the probability density function (PDF), cumulative distribution function (CDF), level-crossing rate (LCR), and average duration of fades of the envelope fading process. A closed-form approximate solution is also deduced for the LCR by making use of the Laplace approximation theorem. Applying the derived PDF of the double Hoyt channel, we then provide analytical expressions for the average symbol error probability of both coherent M-ary phase-shift keying and square M-ary quadrature amplitude modulation schemes. It is shown that all the obtained theoretical results include those that are already known for double Rayleigh channels as a special case. In addition, simplified expressions for the Hoyt \times Rayleigh, Rayleigh \times one-sided Gaussian, and double one-sided Gaussian channels are presented. Moreover, the applicableness of the proposed model to measured real-world propagation channels is examined and discussed by comparing the derived CDF and LCR with published measurement data collected in inter-vehicular propagation environments. Numerical and simulation results are also provided to confirm the validity of the derivations.