ADAPTIVE WIENER-TURBO SYSTEM AND ADAPTIVE WIENER-TURBO SYSTEMS WITH JPEG & BIT PLANE COMPRESSIONS

Transcription

1 ISTANBUL UNIVERSITY JOURNAL OF ELECTRICAL & ELECTRONICS ENGINEERING YEAR VOLUME NUMBER : 2007 : 7 : 1 ( ) ADAPTIVE WIENER-TURBO SYSTEM AND ADAPTIVE WIENER-TURBO SYSTEMS WITH JPEG & BIT PLANE COMPRESSIONS Kenan BUYUKATAK 1 Osman N. UCAN 2 Ersn GOSE 3 Onur Osman 4 Sedef KENT 5 1,3 Turksh Ar Force Academy, Yeslkoy, Istanbul, Turkey 2 Istanbul Unversty, Engneerng Faculty, Electrcal-Electroncs Engneerng, Istanbul, Turkey 4 Istanbul Commerce Unversty, Uskudar, Istanbul, Turkey 5 Istanbul Techncal Unversty, Engneerng Faculty, Electrcal-Electroncs Engneerng, Istanbul, Turkey ABSTRACT In order to mprove unequal error protecton and compresson rato of 2-D colored mages over wreless envronment, we propose two new schemes denoted as Adaptve Wener-Turbo System (AW- TS) and Adaptve Wener-Turbo Systems wth JPEG & Bt Plane Compressons (AW-TSwJBC). In AW-TS, there s a feedback lnk between Wener flterng and Turbo decoder and process teratvely. The scheme employs a pxel-wse adaptve Wener-based Turbo decoder and uses statstcs (mean and standard devaton of local mage) of estmated values of local neghborhood of each pxel. It has extra-ordnary satsfactory results of both bt error rate (BER) and mage enhancement performance for less than 2 db Sgnal-to-Nose Rato (SNR) values, compared to separately applcaton of tradtonal turbo codng scheme and 2-D flterng. In AW-TSwJBC scheme, 2-D colored mage s passed through a color & bt planes slcer block. In ths block, each pxel of the nput mage s parttoned up to three man color planes as R,G,B and each pxel of the color planes s slced up to N bnary bt planes, whch corresponds to bnary representaton of pxels. Thus dependng on mportance of nformaton knowledge of the nput mage, pxels of each color plane can be represented by fewer number of bt planes. Then they are compressed by JPEG pror to turbo encoder. Hence, two consecutve compressons are acheved regardng the nput mage. In 2-D mages, nformaton s manly carred by neghbors of pxels. Here, we beneft of neghborhood relaton of pxels for each color plane by usng a new teratve block, named as Adaptve Wener Turbo scheme, whch employs Turbo decoder, JPEG encoder/decoders and Adaptve Wener Flterng. Keywords: Image transmsson, Image Compresson, Turbo Codng, Color and Bt Plane Slcng, JPEG. 1. INTRODUCTION Image compresson and transmsson s one of the man approaches n nowadays [1]-[23]. The performance of AW-TS s nvestgated over Addtve Whte Gaussan Nose (AWGN) channel. It s a combnaton of turbo codes and the 2D adaptve nose removal flterng. In AW- TS, each bnary correspondence of the ampltude values of each pxel s grouped n bt-planes. Then each bt of bt planes are transmtted and at the recever sde, a combned structure, denoted Receved Date : Accepted Date:

2 258 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons as Wener-Turbo decoder s employed. Wener- Turbo decoder s an teratve structure wth a feedback lnk from the second Turbo decoder and Wener flterng. The decodng process contnues teratvely tll the desred output s obtaned. At the recever, after each bt slce s decoded and hard decson outputs are formed, then all bt slce plane outputs are reassembled as frst bt from the frst bt slce, second bt from the second bt plane,.., the most sgnfcant bt from the last bt slce. Then these bnary sequences are mapped to correspondng ampltude value of the pxel. Here, the compresson and transmsson performance of Adaptve Wener-Turbo Systems wth JPEG & Bt Plane Compressons (AW- TSwJBC), whch s nvestgated over Addtve Whte Gaussan Nose (AWGN) channel. In the transmtter sde, AW-TSwJBC scheme uses Bt Plane Slcng (BPS) [7], JPEG [8],[9] and Turbo Codes [10], for compresson and transmsson mprovement, respectvely. The compresson scenaro reduces the sgnfcant amount of data requred to reproduce the mage at the recever. In AWGN envronment, 2D adaptve nose removal flterng s used at the recever sde to acheve a better error performance. In AW- TSwJBC scheme, each bnary correspondence of the ampltude values of each pxel s grouped n bt-planes. A combned structure, denoted as Adaptve Wener-Turbo decoder s employed. Adaptve Wener-Turbo decoder s an teratve structure wth a feedback lnk between Turbo decoder and Wener flter. The decodng process works teratvely tll the desred output s obtaned. The advantage of neghborhood relaton of pxels s taken nto account n AW- TSwJBC scheme to get mprovement on mage enhancement. Instead of classcal bnary seral communcaton and decodng, n our scheme, the coordnates of the pxels are kept as n ther orgnal nput data matrx and each bt of the pxel s mapped to correspondng slce matrx. In AW-TSwJBC, data rate can be ncreased up to (N) tmes, by only transmttng most mportant sgnfcant BPS. Then the other BPSs can be transmtted to obtan more accurate 2D mages. Maxmum resoluton s obtaned f all BPSs from most sgnfcant to least sgnfcant planes are decoded at the recever sde wthout sacrfcng bandwdth effcency. Thus, our bt slcng approach can also be an effcent way of compresson technque. 2. SYSTEM MODEL AWTS The system conssts of mage slcer, turbo encoder (transmtter), teratve 2D adaptve flter, turbo decoder (recever), and mage combner sectons as shown n Fgure 1. The decoder employs two dentcal systematc recursve convolutonal encoders (RSC) connected n parallel wth an nterleaver precedng the second recursve convolutonal encoder. Both RSC encoders encode the nformaton bts of the bt slces. The frst encoder operates on the nput bts n ther orgnal order, whle the second one operates on the nput bts as permuted by the nterleaver. The decodng algorthm nvolves the ont Estmaton of two Markov processes one for each consttuent code. The output of one decoder can be used as a pror nformaton by the other decoder. The teraton process s done untl the outputs of the ndvdual decoders are n the form of hard bt decsons. AW-TSwJBC scheme conssts of color & bt planes slcer, JPEG encoder, turbo encoder n the transmtter sde; Adaptve Wener Turbo System employng turbo decoder, JPEG decoder, Adaptve Wener flterng and color & bt planes combners n the recever sde as shown n Fgure 1. In order to ncrease the performance of the scheme, at the recever, JPEG encoders are appled as a feedback lnk between adaptve Wener flterng and turbo decoder. In the transmtter sde of the proposed scheme, the colored mage s slced nto RGB planes and each of RGB planes s separated to varous bt planes. As an example, we consder 8 bt for each color plane, thus totally 24 bt planes are encoded wth JPEG encoders pror to Turbo encoder. Turbo encoder employs two dentcal systematc recursve convolutonal encoders (RSC) connected n parallel wth an nterleaver precedng the second recursve convolutonal encoder. Both RSC encoders encode the nformaton bts of the bt slces. The frst encoder operates on the nput bts n ther orgnal order, whle the second one operates on the nput bts as permuted by the nterleaver. These bt planes are transmtted over AWGN channel by Turbo encoder block.

3 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons Wener Flterng Appled to Bt Planes The goal of Wener flterng s to obtan an estmate of the orgnal bt plane from the degraded verson. The degraded plane gn (, n) can be represented by 1 2 g( n, n ) = f( n, n ) + v( n, n ) (5) where, f ( n s the nce, under graded plane and vn ( s the nose. Gven the degraded plane gn ( and some knowledge of the nature of f ( n and vn ( and some knowledge of the nature of f ( n and vn ( we want to come up wth a functon hn ( that wll output a good estmate of f ( n1, n 2). Ths estmate s p( n1, n 2), and s defned by the followng: pn ( = gn ( * hn ( Pw (, w) = Gw (, w) Hw (, w) (6) The Wener flter generates hn ( that mnmzes the mean square error, whch s defned by: E e n n E g n n f n n 2 { ( 1, 2)} = {( ( 1, 2) ( 1, 2)) } 2 (7) Ths s a lnear mnmum mean square error (LMMSE) estmaton problem, snce t s a lnear estmator, and the goal s to mnmze the mean squared error between gn ( and f ( n1, n 2). Usng the orthogonalty prncple, we can solve ths sgnal estmaton problem. The prncple states that error en ( = gn ( f( n s mnmzed by requrng that en ( be uncorrelated wth any random varable. From the orthogonalty prncple, E{ e( n, n ) g ( m, m )} = 0 for all ( n, n ) and ( m, m )(8) * We have: E{ f( n, n ) g ( m, m )} = E{( e( n, n ) + p( n, n )) g ( m, m )} = = * * * Epnn { ( 1, 2) g( mm 1, 2)} * E{( g( n* h( n) g ( m1, m2)} * hk ( 1, k2) Egn { ( 1 k1, n2 k2) g( m1, m2)} k1= k2= = Rewrte (9), we have: R ( n m, n m) fg = hk (, 1k2) Rg ( n1 k1 m 1, n2 m2 m 2) So: k1= k2= (9) (10) R fg ( n = h( n* Rg ( n (11) Pfg ( w1, w2) H( w1, w2) = P ( w, w ) (12) g 1 2 The flter n (12) s called the noncausal Wener flter. Suppose f ( n s uncorrelated wth vn ( * * E{(, f n1 n2) v( m1, m2)} = E{(, f n1 n2)}{( Ev m1, m2)} (13) Notng that f ( n and vn ( are zeromean process, we obtan: R fg ( n = Rf ( n Rg( n = Rf ( n + Rv( n (14) and, Pfg ( w1, w2) = Pf ( w1, w2) (15) So, Pf ( w1, w2) H( w1, w2) = (16) P ( w, w ) + P( w, w ) f 1 2 v 1 2 If we further mpose the addtonal constrant that f ( n1, n 2) and vn ( are samples of Gaussan random feld, equaton (7) becomes mnmum mean square error (MMSE) estmaton problem, then the Wener flter n equaton (16) becomes the optmal mnmum mean square error estmator. The Wener flter n (16) s a zero-phase flter. Snce the power

4 260 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons spectra Pw ( 1, w2) and P ( v w, 1 w ) 2 are real and nonnegatve, H( w1, w2) s also real and nonnegatve. Therefore, the Wener flter affects the spectral magntude but not the phase. By observng (16), f we let P ( v w, 1 w ) 2 approach 0, H( w1, w2) wll approach 1, ndcatng that the flter tends to preserve the hgh SNR frequency components. If we let P ( v w, 1 w ) 2 approach nfnty, H( w1, w2) wll approach 0, ndcatng that the flter tends to attenuate the low SNR frequency components. In our problem, Wener flter s appled to all planes and the addtve nose on the bt-plane vn ( s assumed to 2 be zero mean and whte wth varance ofσ v. Let f ( n1, n 2) shows each planes from 0 th to 3 rd (.e. = 0,1,2,3 ). Ther power spectrums Pv ( w1, w2) are then gven by 2 Pv ( w1, w2) = ( σ v ). Consder a small local regon n whch the plane f ( n1, n 2) s assumed homogeneous. Wthn the local regon, the plane f ( n s modeled by, f ( n, n ) = m + σ w ( n, n ) (17) 1 2 f f 1 2 m f and σ f where are the local mean and standard devaton of f ( n and w ( n s zero-mean whte nose wth unt varance effectng each plane. Wthn the local regon, then, the Wener flter H ( w1, w 2), h ( n, n ) s gven by: 1 2 P ( w, w) ( σ ) H ( w, w) ; = 0,1,2,3 2 f 1 2 f 1 2 = = 2 2 Pf ( w1, w2) + Pv ( w1, w2) ( σf) + ( σv) 2 f 1 2 = δ ( σ f) + ( σv) (18) ( σ ) h ( n, n ) ( n, n ); = 0,1,2,3 19) Then, the restored planes p ( n wthn the local regon can be expressed as ( σ ) p ( n, n ) m ( g ( n, n ) m )* ( n, n ) 2 f 1 2 = f f δ ( σ f) + ( σv) 2 ( σ ) f mf ( g ( n 2 2 mf ); 0,1,2,3 ( σ f) + ( σv) = + = (20) If we assume that m f and σ f are updated at each symbol [2], 2 ( f)( nn 1, 2) p(, nn 1 2) = mf (, nn 1 2) + σ ( g(, nn ) mf (, nn 1 2)) ( σf)( nn 1, 2) + ( σv)( nn 1, 2) (21) Experments are performed wth known all the degraded bt planes, whch are degraded by addng from 2dB to -3dB SNR, zero-mean whte Gaussan nose. The resultng reconstructed mages (by recombnng the four planes) are shown n the fgures from 6 to 11. The wndow sze used for estmate the local mean and local varance s 5 by 5. From degraded 2 planes, we can estmate ( σ g ) ( n only, and snce ( σ ) ( n, n ) = ( σ ) ( n, n ) + ( σ ) ( n, n ) g 1 2 f 1 2 v 1 2, Equaton (21) changes to ( σ)( nn, ) ( σ)( nn, ) pnn (, ) = mnn (, ) + ( gnn (, ) mnn (, )). = 1,2,3,4 2 2 g 1 2 v g g 1 2 ( σg )( nn 1, 2) (22) In our scheme, we modfy the generalzed Wener Equaton (22) as follows, ()2 ()2 ( σ () () g )( nn 1, 2) ( σ )( 1, 2) v nn () () p + 1( nn 1, 2) = mg ( nn 1, 2) + ( p ( ()2 1, 2) ( 1, 2)), 1,2,3,4 nn mg nn = ( σg )( nn 1, 2) (23) As seen from Fgures 6 to 11, the performance of classcal Wener flterng, accordng to Equaton (22), s only satsfyng at hgher SNR s. The obectve n our study s to obtan better results at much lower SNR s. So, MAP based turbo-decodng algorthm s consdered after flterng process. So, n equaton (22), p ( n (=0, 1, 2, 3) are taken the degraded planes as the new nputs n the turbo decoders. The resultng output planes can be expressed as:

5 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 261 (0) 2 (0) 2 ( σ (0) (0) g)( nn 1, 2) ( σ )( 1, 2) v nn we have at least 4dB and 2.5dB addtonal SNR (0) (0) p + 1(,) nn 1 2= mg(,) nn 1 2+ ( p (,) (0) (,)) nn mg nn mprovement compared to that of classcal mage 1 2 ( σg )( nn 1, 2) processng and conventonal turbo codng systems, respectvely. (1)2 (1)2 ( σ (1) (1) g)( nn 1, 2) ( σ)( 1, 2) v nn (1) (1) AW-TSwJBC scheme was expermentally pnn + 1(, 1 2) = mnn g(, 1 2) + ( pnn (, (1) 2 1 2) (, 1 2)) mnn g ( σg )( nn 1, 2) evaluated for the transmsson of the 500x500 test mage over AWGN channel. The frst step of the transmsson s based on parttonng the ( σ )( nn, ) ( σ )( nn, ) mage nto 3 RGB planes and then each of them pnn (, ) mnn (, ) ( (, ) (, )) s slced to 8 BPSs. So 3x8=24 planes are coded (2) 2 (2) 2 (2) (2) g 1 2 v 1 2 (2) (2) = g 1 2+ pnn (2) mnn g 1 2 ( σg )( nn 1, 2) ( σ)(, nn) ( σ)(, nn) pnn (, ) mnn (, ) ( (, ) (, )) (3) 2 (3) 2 (3) (3) g 1 2 v 1 2 (3) (3) = g 1 2+ pnn (3) mnn g 1 2 ( σg )( nn 1, 2) (24) where, s the teraton ndex for each plane, between the wener process and turbo decoder (called WT teraton ndex). can be taken from one to the desred number. If t s taken one, the MAP processed plane (at the output of the decoder) enters to the wener flter only one tme. In ths case, we have P1 ( n, P2 ( n for each plane and the last terated planes.e. P2 ( n are taken nto consderaton for reconstructon. 3. SIMULATION RESULTS In ths secton, we present smulaton results that llustrate the performance of the proposed (AW- TS) algorthm over transmttng the mage. Here the generator matrx s g = [111:101], a random nterleaver s used and the frame sze s chosen as N=150, teraton (between wener flter and decoder) s taken 1. At frst, the pxels of the mage s converted to 16 gray levels and then slced to four bt-planes. All planes are then coded va RSC encoder and a random nterleaver. The coded planes are corrupted wth SNR = 2dB, 1dB, 0dB, -1dB, -2dB and -3dB and transmtted. Fgure (6-11) shows the corrupted, tradtonal turbo processed, well known Wener mage processed and reconstructed mages va AW-TS system. The results have shown that, to recover the mage corrupted at 2 db SNR or below, the well known mage-processng and conventonal Turbo algorthms are not satsfyng as seen from the fgures 6 to 11. The proposed AW-TS algorthm gves good results from 0 db SNR to 3 db. Ths s a challengng result and ndependently carryng some mportant and hghly protected neghborhood relatons to the recever enablng to use adaptve Wener flter hence the whole performance of the system s mproved. Fgure show the reconstructed mages of system. At the recever sde, 24 btplanes are reassembled by consderng the neghborhood relatonshp of pxels. Each of the nosy bt-plane s evaluated teratvely by a combned block, whch s composed of 2-D adaptve nose-removal flter and Turbo decoder. In AW-TSwJBC, there s an teratve feedback lnk between Wener flter and Turbo decoder. Our scheme employs a plane-wse adaptve Wener-based Turbo decoder and uses statstcs (mean and standard devaton of each plane) of local neghborhood of each pxel n order to obtan the hghest probablty of the symbols. Fgures (12-15) show the re-assembled bt-planes and the resulted mage at the decoder output for SNR =1,2 and 3 db values. In Fgure 4, for each R,G and B plane, we have 8 bt plane slces, 2 of them are transmtted enablng 75 % compresson rato, by BPS compresson. The transmtted planes are then re-compressed usng JPEG approach whch s based on Dscrete Cosne Transform (DCT) compresson. JPEG process nvolves frst dvdng the mage nto 8x8 pxel blocks. Each block's nformaton s transformed to frequency doman, every 1x1 low-frequency elements are transmtted, the others are dscarded hence 87.5 % compresson rato s obtaned by JPEG. In ths case some hgh-frequency elements whch contan a lot of detal can be lost. The more these hgh-frequency elements are dscarded, the smaller the resultng fle and the lower the resoluton of the reconsttuted mage. As a result, 75 % compresson rato for BPS and 87.5 % for JPEG gves us % total compresson.

6 262 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 4. CONCLUSIONS The mages beng transmtted over nosy channels are extremely senstve to the bt errors, whch can severely degrade the qualty of the mage at the recever. Ths necesstates the applcaton of error control codes n the mage transmsson. Ths study presents an effcent mage transmsson by means of a new proposed AW-TS (Adaptve Wener-Turbo System) method, whch takes the advantage of the superor performance of error control codes, Turbo codes. For comparson, the classcal mage processng (based Wener flterng) algorthm, conventonal Turbo codng, Adaptve Wener-Turbo algorthm (AW-TS) methods are evaluated and the results are compared. In ths paper, we propose a relable and effcent compresson-transmsson system for 2D mages usng BPS and JPEG (for compresson) and TC (for error correcton) named as AW-TSwJBC system. The tradtonal methods have been tme consumng, but the proposed method promse to speed up the process enablng to get a better Bt Error Rate. In compresson we use less memory storage and ncrease data rate up to N tmes by smply choosng any number of bt slces, sacrfcng resoluton. Hence, we conclude that AW-TSwJBC system wll be a compromsng approach n 2-D mage transmsson, recovery of nosy sgnals and mage compresson. REFERENCES [1] R.C.Gonzales, R.E.Woods, Dgtal Image Processng, ISBN , [2] A. D. Hllery and R. T. Chn, Iteratve Wener flters for mage restoraton, IEEE Trans. Sgnal Processng, Vol. 39, No. 8, , August, [3] D. Dvsalar and F. Pollara Communcatons Systems Research Secton, Turbo Codes for Deep-Space Communcatons TDA Progress Report February 15, [4] K.Buyukatak, E.Gose,O.N.Uçan, S.Kent, O. Osman, Channel Equalzatn and Nose Reducton Based Turbo Codes, Recent Advances on Space Technology, [5] E.Gose, K.Buyukatak, Onur Osman, Osman N. Ucan, Halt Pastac, Performance Of Turbo Decodng For Tme-Varyng Multpath Channels Recent Advances on Space Technology, [6] Bernard Sklar, A Prmer on Turbo Concepts, IEEE Communcatons Magazne, Dec [7] Matthew C. Valent,, Iteratve Detecton and Decodng for Wreless Communcatons, A Proposal for Current and Future Work toward Doctor of Phlosophy degree, September [8] J. Hageneauer, "Iteratve decodng of bnary block and convolutonal codes", IEEE Trans. Inform. Theory, vol. 42, pp , Mar [9] Matthew C. Valent, An Introducton to Turbo Codes,Vrgna Polytechnc Inst.& S.U.,Blacksburg, Vrgna. [10] W.J.Gross and P.G.Gulak, Smplfed MAP Algorthm sutable for mplementaton of Turbo Decoders, Electronc Letters onlne no: ,3 June [11] J.Hageneauer, "Iteratve decodng of bnary block and convolutonal codes", IEEE Trans. Inform. Theory, vol. 42, pp , Mar [12] Justn C-I Chuang. The effects of tme delay spread on portable rado communcaton channels wth dgtal modulaton. IEEE Trans. SAC. 1987, SAC-5(5): [13] Berrou C, Glaveux A. Near optmum error correctng codng and decodng: turbo codes. IEEE Trans. Commun. 1996; 44(10): [14] Ucan ON, Buyukatak K, Gose E, Osman O, Odabasoglu N. Performance of multlevel-turbo codes wth blnd/non-blnd equalzaton over WSSUS multpath channels. Internatonal Journal of Communcaton Systems 2005;19(3): [15] Thomos N, Boulgours NV, Strntzs MG. Wreless Image Transmsson Usng Turbo Codes and Optmal Unequal Error Protecton. IEEE Transactons on Image Processng 2005; 14(11):

7 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 263 [16] Yang J, Lee MH, Jang M, Park JY. Robust wreless mage transmsson based on Turbocoded OFDM. IEEE Transactons on Consumer Electroncs 2002; 48(3): [17] Han YH, Leou JJ. Detecton and Correcton of Transmsson Errors n JPEG Images. IEEE Transactons on Crcuts and Systems for Vdeo Technology 1998; 8(2): [18] Gonzales RC, Woods RE. Dgtal Image Processng. ISBN , [19] Pennebaker WB, Mtchell JL. JPEG: Stll Image Data Compresson Standard. New York: Van Nostrand Renhold, [20] CCITT Recommendaton T.81. Dgtal compresson and codng of contnuous-tone stll mages [21] Hllery AD, Chn RT. Iteratve Wener flters for mage restoraton. IEEE Trans. Sgnal Processng 1991; 39(8): [23] Gross WJ, Gulak PG. Smplfed MAP Algorthm sutable for mplementaton of Turbo Decoders. Electronc Letters (16): FIGURES : AWGN 2-D Image n Bt Plane Slcer Turbo Encoder Channel + DeMUX Output Image Slce Combner Hard Decson DEC 2 Dent. Interleaver Interleaver DEC 1 2D Adaptve Wener Flter Fgure 1. AW-TS System model N N-1.Bt-plane sgnfcant) (most 0.Bt-plane (least sgnfcant) Fgure 2. N. Bt-plane decomposton of an mage

8 264 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons Fgure 3. Bt plane representaton of 2-D mage Orgnal mage 1.Bt-plane 2.Bt-plane 3.Bt-Plane 4.Bt-plane

9 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 265 (f) Fgure 4: The effects of the varous slce combnatons. 0.Bt Plane+1.Bt plane 0.Bt Plane+1.Bt plane+2.bt plane 0.Bt Plane+1.Bt plane+2.bt plane+3.bt plane 1.Bt plane+2.bt plane 1.Bt Plane+2.Bt plane+3.bt plane (f) 2.Bt plane+3.bt plane

10 266 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 1.bt Plane Input Image 2.bt Plane 3.bt Plane Interleaver + D + + D + M A P P E R Coded Image N.bt Plane + D D + DEINT Demux Receved coded Image y (0) Wener Flter L c (1) y (2) y (1) z (1) r(1) r (0) SISO Decoder 1 (1) Λ SISO I (1) INT z (2) Decoder r (2) 2 L c (2) INT (0) r (2) Λ + DEINT - - I (2) mˆ Reconst. Image N plane Combner L c (0) Fgure 5. AW-TS System Encoder Decoder

11 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 267 Fgure 6. Nosy 2D mage and varous smulaton results for SNR=2dB Corrupted mage Turbo processed mage Wener processed mage Most sgnfcant partof AW-TS output AW-TS processed mage

12 268 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons Fgure 7. Nosy 2D mage and varous smulaton results for SNR=1dB Corrupted mage wth SNR= 1dB Turbo processed mage Wener processed mage Most sgnfcant part of AW-TS output AW-TS processed mage

13 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 269 Fgure 8. Nosy 2D mage and varous smulaton results for SNR=0dB Corrupted mage wth SNR= 0dB Turbo processed mage Wener processed mage Most sgnfcant part of AW-TS output AW-TS processed mage

14 270 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons Fgure 9. Nosy 2D mage and varous smulaton results for SNR= -1dB Corrupted mage wth SNR= -1dB Turbo processed mage Wener processed mage Most sgnfcant part of AW-TS output AW-TS processed mage

15 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 271 Fgure 10. Nosy 2D mage and varous smulaton results for SNR=-2dB Corrupted mage wth SNR= -2dB Turbo processed mage Wener processed mage Most sgnfcant part of AW-TS output AW-TS processed mage

16 272 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons Fgure 11. Nosy 2D mage and varous smulaton results for SNR=-3dB Corrupted mage wth SNR=-3dB Turbo processed mage Wener processed mage Most sgnfcant part of AW-TS output AW-TS processed mage

17 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 273 Colored Image Color & Bt Planes Slcer R G B JPEG Encoder JPEG Encoder JPEG Encoder R G B Turbo Encoder Channel Reconstructed Colored Image Color & Bt Planes Combner B R G Adaptve Wener Flterng JPEG Decoder JPEG Decoder JPEG Decoder R G B Turbo Decoder *1 st teraton JPEG Encoder R JPEG Encoder JPEG Encoder G B *2 nd and futher teratons AW-TS Block Fgure 12. AW-TSwJBC system model

18 274 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons (f) Fgure 13. Reconstructed Image for SNR=1dB Totaly compresson (wth 87.5 % JPEG and 75 % Bt Plane) Totaly compresson (wth 75 % JPEG and 75 % Bt Plane) Totaly 87.5 compresson (wth 50 % JPEG and 75 % Bt Plane) Totaly compresson (wth 87.5 % JPEG and 50 % Bt Plane) Totaly 87.5 compresson (wth 75 % JPEG and 50 % Bt Plane) (f) Totaly 75 compresson (wth 50 % JPEG and 50 % Bt Plane)

19 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons 275 (f) Fgure 14. Reconstructed Image for SNR=2dB Totaly compresson (wth 87.5 % JPEG and 75 % Bt Plane) Totaly compresson (wth 75 % JPEG and 75 % Bt Plane) Totaly 87.5 compresson (wth 50 % JPEG and 75 % Bt Plane) Totaly compresson (wth 87.5 % JPEG and 50 % Bt Plane) Totaly 87.5 compresson (wth 75 % JPEG and 50 % Bt Plane) (f) Totaly 75 compresson (wth 50 % JPEG and 50 % Bt Plane)

20 276 Adaptve Wener-Turbo System And Adaptve Wener-Turbo Systems Wth JPEG & Bt Plane Compressons (f) Fgure 15. Reconstructed Image for SNR=3dB Totaly compresson (wth 87.5 % JPEG and 75 % Bt Plane) Totaly compresson (wth 75 % JPEG and 75 % Bt Plane) Totaly 87.5 compresson (wth 50 % JPEG and 75 % Bt Plane) Totaly compresson (wth 87.5 % JPEG and 50 % Bt Plane) Totaly 87.5 compresson (wth 75 % JPEG and 50 % Bt Plane) (f) Totaly 75 compresson (wth 50 % JPEG and 50 % Bt Plane)