Mellin Transform Based Performance Analysis of FFH M-ary FSK Using Product Combining Against Partial Band Noise Jamming

Ahmed, S., Yang, L-L. and Hanzo, L. (2007) Mellin Transform Based Performance Analysis of FFH M-ary FSK Using Product Combining Against Partial Band Noise Jamming. IEEE VTC'07 (Spring), Dublin, Ireland. 22 - 25 Apr 2007. pp. 1901-1905 .

Record type: Conference or Workshop Item (Paper)

Abstract

We propose a novel bit error ratio (BER) analysis technique for fast frequency hopping (FFH) assisted M-ary frequency shift keying (MFSK) using product combining (PC), when the channel is contaminated by partial band noise jamming (PBNJ). Exploiting the fact that the Mellin transform of the product of independent random variables is the product of their Mellin transforms, we derive the probability density function (PDF) of the PC’s output, when communicating in uncorrelated Rayleigh fading channels contaminated by PBNJ. Derivation of the PDF thus allows computation of the system’s BER. It is shown that the Mellin transform substantially simplifies the analysis of the PC receiver and facilitates for the first time the analysis of FFH-MFSK PC receiver for modulation orders of M > 2.

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