Exact performance of wireless multihop transmission for M-ary coherent modulations over generalized gamma fading channels

Closed-form moment generation function (MGF) expressions for the harmonic mean of N independent and not identically distributed generalized gamma random variables (RVs) are presented and some well known special cases are accentuated. The statistical results are also applied in order to obtain exact symbol error rate (SER) performance of wireless multihop transmission with non-regenerative relays and M-ary coherent modulations over generalized gamma flat fading channels.

[1]  A. Kilbas.  H-Transforms: Theory and Applications , 2004 .

[2]  Halim Yanikomeroglu,et al.  Multihop diversity in wireless relaying channels , 2004, IEEE Transactions on Communications.

[3]  Yu. A. Brychkov,et al.  Integrals and series , 1992 .

[4]  C. Fox.  The $G$ and $H$ functions as symmetrical Fourier kernels , 1961 .

[5]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[6]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[7]  Mazen O. Hasna,et al.  A performance study of dual-hop transmissions with fixed gain relays , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[8]  P. Bahr,et al.  Sampling: Theory and Applications , 2020, Applied and Numerical Harmonic Analysis.

[9]  A. Goldsmith,et al.  A unified approach for calculating error rates of linearly modulated signals over generalized fading channels , 1998, ICC '98. 1998 IEEE International Conference on Communications. Conference Record. Affiliated with SUPERCOMM'98 (Cat. No.98CH36220).

[10]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[11]  Elza Erkip,et al.  Increasing uplink capacity via user cooperation diversity , 1998, Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252).

[12]  George K. Karagiannidis,et al.  Multihop communications with fixed-gain relays over generalized fading channels , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[13]  E. Stacy.  A Generalization of the Gamma Distribution , 1962 .

[14]  Mostafa Kaveh,et al.  Exact symbol error probability of a Cooperative network in a Rayleigh-fading environment , 2004, IEEE Transactions on Wireless Communications.

[15]  Mazen O. Hasna,et al.  End-to-end performance of transmission systems with relays over Rayleigh-fading channels , 2003, IEEE Trans. Wirel. Commun..

[16]  Mazen O. Hasna,et al.  Outage probability of multihop transmission over Nakagami fading channels , 2003, IEEE Communications Letters.

[17]  Mazen O. Hasna,et al.  Harmonic mean and end-to-end performance of transmission systems with relays , 2004, IEEE Transactions on Communications.

[18]  Joseph McCully,et al.  The Laguerre Transform , 1960 .

[19]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[20]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .