| STRONG CODING THEOREM AND ASYMPTOTICERROR EXPONENT OF ARBITRARILY VARYING SOURCE WITH A FIDELITY CRITERION |
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| 作者姓名： | FU Fangwei SHEN Shiyi |
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| 作者单位： | Department Of Mathematics，Nankai University，Tiawtn 300071，China |
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| 摘 要： | 1.IntroductionLetXbeafiniteset.Adiscretememorylesssource(DMS)withsourcealphabetXisasequenceofi.i.drandomvariableswithsourcedistributionP={p(x):xEX}.LetYbeanotherfinitesetcalledreproductionalphabet,andd'XxY-- 0, co)beagivendistortionmeasure.Thedistortionbetweensequencesx"EX"andy"6Y"isdefinedasd(x",y")=n--1Z:=,d(x,,yi).AsubsetBgY"iscalledasourcecode.Therateofthecodeisdefinedas.--ilogIBI.Inthispaper,alllogarithmsandexponentsaretakentobase2.Forx"EX",defined(x",B)=minbneBd(x",b").Given…
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STRONG CODING THEOREM AND ASYMPTOTICERROR EXPONENT OF ARBITRARILY VARYING SOURCE WITH A FIDELITY CRITERION |
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| FU Fangwei,SHEN Shiyi.STRONG CODING THEOREM AND ASYMPTOTICERROR EXPONENT OF ARBITRARILY VARYING SOURCE WITH A FIDELITY CRITERION[J].Journal of Systems Science and Complexity,1998(2). |
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| Authors: | FU Fangwei SHEN Shiyi |
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| Abstract: | When the error probability is less than 2--"", the minimum compression rate(r-optimal rate) of arbitrarily varying source with a fidelity criterion is determined. Thisgeneralizes the result of Arutyunyan and Mekaushll] for discrete memoryless source witha fidelity criterion, and is called strong coding theorem of arbitrarily varying source witha fidelity criterion. We also determine the asymptotic error exponellt for arbitrarily varying source with a fidelity criterion. This generalizes Marton's result in 2] for discretememoryless source with a fidelity criterion. |
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| Keywords: | Arbitrarily varying sourcel coding theorem error exponent information quantity rate-distortion theory |
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