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

Mellin Transform Based Performance Analysis of FFH M-ary FSK Using Product Combining Against Partial Band Noise Jamming
Mellin Transform Based Performance Analysis of FFH M-ary FSK Using Product Combining Against Partial Band Noise Jamming
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.
1901-1905
Ahmed, S.
8946ec30-34fd-4a8a-b3e9-89f326b57251
Yang, L-L.
ae425648-d9a3-4b7d-8abd-b3cfea375bc7
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1
Ahmed, S.
8946ec30-34fd-4a8a-b3e9-89f326b57251
Yang, L-L.
ae425648-d9a3-4b7d-8abd-b3cfea375bc7
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1

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. 21 - 24 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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Published date: 2007
Additional Information: Event Dates: 22-25 April 2007
Venue - Dates: IEEE VTC'07 (Spring), Dublin, Ireland, 2007-04-21 - 2007-04-24
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 263942
URI: http://eprints.soton.ac.uk/id/eprint/263942
PURE UUID: be6df954-7909-4658-b9ff-cbaeda2a06b4
ORCID for L-L. Yang: ORCID iD orcid.org/0000-0002-2032-9327
ORCID for L. Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 26 Apr 2007
Last modified: 07 Oct 2020 01:42

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