信息管理-第一章

1、信道（信源編碼器）UV信源12 , , , sv vv12 , , , ru uu信源編碼模型 12,ruuu12,svvviujv( ,)ijd u v d1211121121222212(,)(,)(,)(,)(,)(,) (,)(,)(,)sssrrrsrvvvd u vd u vd u vud uvd uvd uvudd uvd uvd uvu( ,)ijd u v,( ,)iji jd u vD1111( ,)( ,) ( ,)( ) (|) ( ,)rsijijijijrsijiijijDE d u vP u v d u vP u P v u d u v0,( ,)1,ijijij

2、uvd u vuv2(,)()ijijd u vuv(,)|ijijd uvuv(,)| |ijijid uvuvuhl12121,2,1,2,NNNhhhhNllllu uuhrv vvls(,)hld1(,)(,)kkNhlhlkdd uv(,)kkhld uv12NDDDD11()(,)kkNNhlkkkD NEd uvDND11111()(,)(,) (,)(,)(,)NNNNkkrshlhlhlhlrsNhlhlhlkD NE dPdPd uvNU11(,)() (|) (,)rsijijiijijDE d u vP u P vu d u vDDD D|;DV UBPDDDB|11(

3、|)( )min( ) (|)log()VUDrsjiijiPBijjP vuR DP u P vuP v()R D|V UP(;)I U V|()min( ; )min( ; );V UDPBR DI U VI U VDD|()inf(;)V UDPBR DI U VDB()R DNUNU|,NNNNVUUPV( )D NNDNDB|;()NNNDVUBPD NNDNDB(;)NNI UVNU()R ND|()min(;)min(;);( )NNNDVUNNNNPBR NDI UVI UVD NND()min(;);()min(;);()NNR NDI UVD NNDNI U VDDNR D

4、()R D()R D( )R D()R D()R D|,V UU PVUP|V UP( ,)ijd u v()R DUP|V UP( ,)ijd u v(0)()RH U()R D()R D()R D()0R D maxD1212011 32 3 10UvvuPdu22max111212min()( ) ( ,)1212min( )01()10333321min( )()33jiijjiDP vP u d u vP vP vP vP v maxD12( )( )1P vP vmax111min()33DP v1( )0P v01VPmax111111min()033333DP v()0R D

5、(;)0I U V (|)( )jijP vuP v11()() (,)rsijijijDP uP vd u vDmaxDmax1111min()() (,)min()() (,)rsijijijsrjiijjiDP uP vd u vP vP u d u vmax0,D()R D121D2DD1211122DDD1122()()()R DR DR D1(|)Pvu()R D1()R D2( | )P v u2()R D1( ;)I U V2( ;)I U V11112222( ;)()( , )( ;)()( , )I U VR DE d u vDI U VR DE d u vD1122(

6、|)( |)( |)P v uP v uP v u,1 122,1122( ,)( ) ( | ) ( , )( )( | )( | )( , )ijU VU VE d u vP u P v u d u vP uP v uP v u d u vDDD( ; )I U V1122()()(;)R DRDDI U V1122(;)(;)(;)I U VI U VI U V1122()()()R DR DR D()R D()R D21DD|1|2;V UV UPDDPDD21min( ; ),min( ; ),I U V DDI U V DD21()()R DR DminDmaxDmax()R Dm

7、in()R D()RDDm a xDm i nD0()R D曲線的一般形狀()R DminDmaxD()R D()R DDB11( ,)( ) (|) ( ,)rsijijiijijDE d u vP u P vu d u vDDDDB( )R D( )RR DD( )RR D( )RR D( )RR D)|()(ijijuvpvp和、)D(R)u(p)u(p)u(pu.uuPUss2121)v ,u(djis,.,j,r,.,i11)u|v(p)v( p)u|v( plog)u|v( p)u( p)V;U( Ijijrisjiji11)v(pjriijij)u|v( p)u( p)v( p1

8、rijiijsjisjijijDvuduvpupriuvpsjriuvp111),()|()(),.,2 , 1(1)|(),.,2 , 1(),.,2 , 1(0)|(i)s,.,j( )r,.,i()u|v( pSD)V;U( I)u|v( psjijiij212101)v( p)u|v( plog)u|v( p)u( p)u|v( p)u|v( p)V;U( Ijijrisjijiijij11)(log)|()()|(log)|()()|(1111jrisjijiijrisjijiijvpuvpupuvpuvpupuvp)v( plog)v( p)u|v( plog)u|v( p)u(

9、p)u|v( pjsjjijrisjijiij111)u( p)v( plog)u( p)u( p)u|v( plog)u( pijiiiji)v(p)u|v(plog)u(pjiji)v ,u(d )u|v( p)u( pS)u|v( pSD)u|v( prijiijsjiijij11)v,u(d)u(Spjiiisjijiij)u|v(p)u|v(p1)s,.,j()r,.,i ()v ,u(d )u(Sp)v( p)u|v( plog)u( pijiijiji21210),.,2 , 1(),.,2 , 1()(exp),(exp)()|(sjriupvuSdvpuvpiijijij )

10、u(pexpiij)v ,u(Sdexp)v(p)u|v(pjijiij)|()(ijijuvpvp和、11sjij)u|v( prisjijij)u|v( p)u( p)v( p11)r,.,i ()v ,u(Sdexp)v(psjjiji2111)r,.,i ()v ,u(Sdexp)v(psjjiji2111)u(pi)s,.,j()v ,u(Sdexp)v( p)u( p)v( pjijiriij211)v(pj0)v(pj)s,.,j()v ,u(Sdexp)u(pjiirii2111)s,.,j()v ,u(Sdexp)v( p)v ,u(Sdexp)u( prisljijjii2

11、1111)s,.,j()v ,u(Sdexp)v( p)v ,u(Sdexp)u( prisljijjii21111)v(pj)v(pj)v(pji)v(pj)u|v( pijirijiijsji)v ,u(d)u|v(p)u(pD11rijijijisji)v ,u(Sdexp)v ,u(d)v(p)u(p)S(D11)v(pji)V;U(Imin)D(R)v(p)u|v(plog)u|v(p)u(pminjijrisjiji11)S(R)(),(exp)(log),(exp)()()(11jjijirisjjijiivpvuSdvpvuSdvpupSR)v ,u(Sdexplog)v ,u

12、(Sdexp)v( p)u( pjiirisjjijii11)v ,u(Sdlog)v ,u(Sdexp)v( p)u( pjiirisjjijii11),(),(exp)()(),(exp)(log)(1111jirisjjijiirisjjijiiivuSdvuSdvpupvuSdvpup)S(SD)u|v(plog)u(prisjijii11)S(SDlog)u(priii1（8） dDd)S(RdDdSS)S(R)S(D)S(RdD)D(dRirii1dDd)u(pdDdS)S(DSiriii1dDdSdSd)u( p)S(DSiriii1（9） )S(R)S(Di(10) )v(pj

13、),.,2 , 1(0),(exp),()(),(exp)(11sjvuSdvudupvuSddSduprijijiiirijiiirijijiiisjjrijiiisjjvuSdvudupvpvuSddSdupvp1111),(exp),()()(),(exp)()(左式rijijiiisjjrijisjjiivuSdvudupvpvuSdvpdSdup1111),(exp),()()(),(exp)()(i1)S(D011)S(DdSd)u(priiiiSdD)D(dR)D(R0dDdSR(D)DmaxDS0R(D)及S與D的關(guān)系曲線)D(R)u(p)u(p)u(pu.uuPUss2121

14、)v(p)v(p)v(pv.vvPVss2121)v ,u(djir,.,i21s,.,j21)D(R)V;U( I rijiijsjisjijijDvuduvpupriuvpsjriuvp111),()|()(),.,2, 1(1)|(),.,2, 1(),.,2, 1(0)|()()|(log)|()(minmin);(minmin)(11)()()()(jijrisjijiuvpvpuvpvpvpuvpuvpupVUIDRijjijjsjijriiuvpSDVUIF11)|();(1sjijriijijrisjijiup(vSDvpuvpuvpup1111)|)()|(log)|()()

15、u|v(pij*)s,.,j;r,.,i(2121)V;U( I)s,.,j(21i)v(pj)u|v( pij)u|v(pij*)u|v(pij*),.,2 , 1(),.,2 , 1(0)|()()|(log)|()()|(1111sjriuvpSDvpuvpuvpupuvpsjijriijijrisjijiij01ijiijiji)v ,u(d )u(Sp)v( p)u|v( plog)u( p)u( p)v ,u(d )u(Spexp)v( p)u|v( piijiij*ij1)u|v( pijsjijriuvp1),.,2 , 1(1)|()(1),()(exp)(11iijiisj

16、jupvuduSpvp),()(exp)()(1exp1jiisjjiivuduSpvpup)v ,u(d)u(Spexp)v(p)u(pexpjiisjjii111),(exp)(),(exp)()|(1*jisjjjijijvuSdvpvuSdvpuvp)v(pj*)s,.,j(21)V;U( I)u|v( pij)s,.,j;r,.,i (2121)v(pj)V;U( IisjjvpSDVUIF1)();(2sjjjijrisjijivpSDvpuvpuvpup111)()()|(log)|()()v(pj*)v(pj*0)()()|(log)|()()(111sjjjijrisjijijvpSDvpuvpuvpupvp)v(pj01ri*jiji)v(p)u|v(p)u(priiji*j)u|v(p)u(p)v(p11sjj*)v(p11111riijsji)u|v( p)u( priiji*j)u|v(p)u(p)v(p11S)|()1(ijuvp)s,.,j;r,.,i(2121s)u|v(pij)(11)v