On the SNR penalty of MPSK with hybrid selection/maximal ratio combining over i.i.d. Rayleigh fading channels
Closed-form expressions that lower and upper bound the penalty of hybrid selection/maximal ratio combining relative to maximal ratio combining (MRC) for M-ary phase-shift keying (MPSK) modulation are proved. The bounds offer simple-to-evaluate explicit expressions, and are typically within 0.6 dB fo...
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Veröffentlicht in: | IEEE transactions on communications 2003-06, Vol.51 (6), p.1012-1023 |
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creator | Win, M.Z. Beaulieu, N.C. Shepp, L.A. Logan, B.F. Winters, J.H. |
description | Closed-form expressions that lower and upper bound the penalty of hybrid selection/maximal ratio combining relative to maximal ratio combining (MRC) for M-ary phase-shift keying (MPSK) modulation are proved. The bounds offer simple-to-evaluate explicit expressions, and are typically within 0.6 dB for hybrid systems with diversity order up to eight that use at least two branches, yet are independent of signal-to-noise ratio (SNR). Contrary to conclusions conjectured in a previously published paper, it is proved that the SNR penalty is not a constant, independent of SNR. It is also shown that previous estimates of the performance losses of selection diversity relative to MRC underestimate or lower bound the losses for MPSK modulation systems, and that the true loss can be significantly larger than previously believed. An upper bound to this loss is also obtained. |
doi_str_mv | 10.1109/TCOMM.2003.813183 |
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It is also shown that previous estimates of the performance losses of selection diversity relative to MRC underestimate or lower bound the losses for MPSK modulation systems, and that the true loss can be significantly larger than previously believed. An upper bound to this loss is also obtained.</description><identifier>ISSN: 0090-6778</identifier><identifier>EISSN: 1558-0857</identifier><identifier>DOI: 10.1109/TCOMM.2003.813183</identifier><identifier>CODEN: IECMBT</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Channels ; Diversity reception ; Error probability ; Exact solutions ; Fading ; Hybrid systems ; Laboratories ; Lifting equipment ; Mathematical analysis ; Modulation ; Noise levels ; Performance loss ; Phase modulation ; Phase shift keying ; Signal to noise ratio ; Upper bound ; Upper bounds</subject><ispartof>IEEE transactions on communications, 2003-06, Vol.51 (6), p.1012-1023</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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An upper bound to this loss is also obtained.</description><subject>Channels</subject><subject>Diversity reception</subject><subject>Error probability</subject><subject>Exact solutions</subject><subject>Fading</subject><subject>Hybrid systems</subject><subject>Laboratories</subject><subject>Lifting equipment</subject><subject>Mathematical analysis</subject><subject>Modulation</subject><subject>Noise levels</subject><subject>Performance loss</subject><subject>Phase modulation</subject><subject>Phase shift keying</subject><subject>Signal to noise ratio</subject><subject>Upper bound</subject><subject>Upper bounds</subject><issn>0090-6778</issn><issn>1558-0857</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNp9kUlPHDEQhS2USJkAPyDiYuUQTt2Ut277GI2yIBgGsZwtu7uGNuplYveQzL-nh0FC4pBDqVR636vDe4R8YZAzBubsbr5cLHIOIHLNBNPigMyYUjoDrcoPZAZgICvKUn8in1N6BAAJQsxIt-zp2CC9vbqha-xdO27psKKL69sL-jeMDW22PoaaJmyxGsPQn3XuX-hcS6ObTloNnQ996B_o8ISRhjzkdU5v3LbF8NDQlat3WtW4vsc2HZGPK9cmPH7dh-T-54-7-e_scvnrfP79MquEEmPmEaWqJQfBlanRSWaYLGpeSyhLb7gREl3hfS0UFBKkYF56rpUH7UrwIA7J6f7vOg5_NphG24VUYdu6HodNsgZYYaBQYiK__ZfkWpZ6mgn8-g58HDZxCizZSReSq3L3je2hKg4pRVzZdZzCilvLwO56si892V1Pdt_T5DnZewIivvEcjAAmngEIbYza</recordid><startdate>20030601</startdate><enddate>20030601</enddate><creator>Win, M.Z.</creator><creator>Beaulieu, N.C.</creator><creator>Shepp, L.A.</creator><creator>Logan, B.F.</creator><creator>Winters, J.H.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Rayleigh fading channels</atitle><jtitle>IEEE transactions on communications</jtitle><stitle>TCOMM</stitle><date>2003-06-01</date><risdate>2003</risdate><volume>51</volume><issue>6</issue><spage>1012</spage><epage>1023</epage><pages>1012-1023</pages><issn>0090-6778</issn><eissn>1558-0857</eissn><coden>IECMBT</coden><abstract>Closed-form expressions that lower and upper bound the penalty of hybrid selection/maximal ratio combining relative to maximal ratio combining (MRC) for M-ary phase-shift keying (MPSK) modulation are proved. The bounds offer simple-to-evaluate explicit expressions, and are typically within 0.6 dB for hybrid systems with diversity order up to eight that use at least two branches, yet are independent of signal-to-noise ratio (SNR). Contrary to conclusions conjectured in a previously published paper, it is proved that the SNR penalty is not a constant, independent of SNR. It is also shown that previous estimates of the performance losses of selection diversity relative to MRC underestimate or lower bound the losses for MPSK modulation systems, and that the true loss can be significantly larger than previously believed. An upper bound to this loss is also obtained.</abstract><cop>New York</cop><pub>IEEE</pub><doi>10.1109/TCOMM.2003.813183</doi><tpages>12</tpages></addata></record> |
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subjects | Channels Diversity reception Error probability Exact solutions Fading Hybrid systems Laboratories Lifting equipment Mathematical analysis Modulation Noise levels Performance loss Phase modulation Phase shift keying Signal to noise ratio Upper bound Upper bounds |
title | On the SNR penalty of MPSK with hybrid selection/maximal ratio combining over i.i.d. Rayleigh fading channels |
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