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Bit−Plane Arithmetic

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(1)

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GTQH IK PNRcS[ aI SGRO MTMHNX YH MNKMKOH TWSHNITSRQH OSNUJSUNHO cKN OJTWT^RWRS]

SGTS UOH MNHQRKUO HIGTIJHLHISVWT]HN RIcKNLTSRKI SK MNHPRJS SGH JUNNHIS ^TOH

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OSNUJSUNHO TWWKY ^HSSHN JKLMNHOORKI HeJRHIJ]X YGRWH RISNKPUJRIZ KIW] WRLRSHP

RLMTRNLHISO RI SGH fUTWRS] Kc SGH NHJKIOSNUJSRKI[

g hijklmnojpli

qrstuvwwvx yzxvr{ |}z~} wvw tuvxz~€zyv ~rxz‚ ƒ„‚ruz€}sw ƒx yƒuzƒ…„v†„v‚€} ~rx†

z‚{ zw wvwz€zyv €r v€|ru‡ zstƒzusv€w wz~v €}vwv ~ƒ ~ƒwv vuuru turtƒ‚ƒ€zrˆ ‰

wz‚„v …z€ vuuru ru vuƒwuv ~ƒ ~ƒwv w…w€ƒ€zƒ„ xv‚uƒxƒ€zr zŠ r ƒ~€zr zw €ƒ‡v €r

w€rt ru „zsz€ €}v v‹€v€ rŠ vuuru turtƒ‚ƒ€zrˆ Œr€zr ~rstvwƒ€zr ƒ„„r|w €}v vuuru

€r turtƒ‚ƒ€v …r€} €vstruƒ„„ ƒx wtƒ€zƒ„„ˆ Žv~ƒwv rŠ€}zw{€}vuv }ƒw …vv v‹€vwzyv

vru€ z €}v yzxvr ~rssz€ €r xvwz‚ v| €v~}zvw €}ƒ€ „zsz€ €}v v‹€v€ rŠ vuuru

turtƒ‚ƒ€zr ‘’“ˆ ”r|vyvu{ ƒ„srw€ ƒ„„ ƒ€€vst€w€r „zsz€vuuru turtƒ‚ƒ€zr xv~uvƒwv €}v

~rxz‚ v•~zv~{ wrsv xuƒsƒ€z~ƒ„„ wrˆ –r vwuv €}v …vw€ rtvuƒ€zr rŠ €}v yzxvr

~rxvu z ƒ vuuru†turv ~}ƒv„{ €}v …ƒ„ƒ~v …v€|vv uvwz„zv~v ƒx v•~zv~ sw€

…v sƒƒ‚vx ~ƒuvŠ„„ˆ

—~ƒ„ƒ…„v ~rxz‚ ƒ„‚ruz€}sw ~uvƒ€v ƒ tƒu€z€zrz‚ rŠ €}v ~rstuvwwvx …z€w€uvƒs z€r

sruv ƒx „vww zstru€ƒ€ tƒu€wˆ –}zw ƒ„„r|w ƒ ƒ€uƒ„ ~rs…zƒ€zr |z€} xzvuv€

sv~}ƒzwsw €r tuzruz€z˜v v€|ru‡ €uƒwtru€{ Šru v‹ƒst„v{ sƒu‡z‚ „vww zstru€ƒ€

tƒu€w Šru vƒu„ xzw~ƒux ‘™“{ ƒtt„z‚ vƒ„ vuuru tur€v~€zr ‘š“{ ru Šƒ~z„z€ƒ€z‚ uƒ€v†

sƒ€~}z‚ …v€|vv v~rxvu ƒx v€|ru‡ ‘›“ ‘œ“ˆ }v wvx z ~r ž~€zr |z€} w~}

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€}zw ~rsvw ƒ€ €}v tuz~v rŠ uvx~vx ~rstuvwwzr v•~zv~ˆ

Ÿ €}v w€ƒxƒuxw ƒuvƒ{ Œ ¡¢†

™

w~ƒ„ƒ…z„z€ ƒ„„r|w

š

sv€}rxw rŠ z€urx~z‚ w~ƒ„†

ƒ…z„z€£ —¤¥{ wtƒ€zƒ„{ ƒx €vstruƒ„ ‘™“ˆ –}v ƒsvw ~ƒ …v wrsv|}ƒ€ szw„vƒxz‚{

wz~v ƒ w€uz~€ zst„vsv€ƒ€zr rŠ Œ ¡¢†™ —¤¥ w~ƒ„ƒ…z„z€ ¦—¤¥—§ wvw ƒ tuvw~uz…vx

rv†„rrt v~rxvu w€u~€uv{|}z„v Œ ¡¢†

™

wtƒ€zƒ„ w~ƒ„ƒ…z„z€ ¦——§ wz‚ zxv€z~ƒ„uvw†

r„€zrw z €}v …ƒwv ƒx v}ƒ~vsv€ „ƒvu turx~vw ƒr€}vu Šrus rŠ —¤¥— wz‚ ƒ

€|r†„rrt v~rxvuw€u~€uvˆ Ÿ €}zwtƒtvu{|v uvŠvu€r Œ ¡¢†™ —¤¥— ƒw€}v w€uz~€zs†

t„vsv€ƒ€zr ƒ~~ruxz‚ €r €}v w€ƒxƒux{ ƒx Œ ¡¢†

™

—— ƒw vz€}vu rŠ €}v ƒ„‚ruz€}sw

wz‚ €}v Œ ¡¢†

™

wtƒ€zƒ„ w~ƒ„ƒ…z„z€ w€ƒ‹ˆ

”ˆ™

¨š

ƒx Œ ¡¢†› w~ƒ„ƒ…z„z€ ‘’“ }ƒyv Šv|vu rt€zrw{ „zsz€z‚ €}v v~rxvu rt†

€zrw €r €}rwv €}ƒ€ Šru~v r xuzŠ€ zŠ r„ €}v …ƒwv†„ƒvu wz‚ƒ„ zw uv~vzyvxˆ ¦ ”vuv{ ©ª«¬­

zw xv®vx ƒw €}v turtƒ‚ƒ€zr rŠ vuuruw xv €r tƒu€zƒ„ uv~vt€zr rŠ €}v „vww zstru†

€ƒ€ v}ƒ~vsv€†„ƒvu zŠrusƒ€zrˆ –}zw zw z ~r€uƒw€ €r €}v sruv ‚vvuƒ„ €vus

¯

ªª°ª ±ª°±²³²­«°´{ |}z~} |v wv €r z~„xv €}v uvw„€ rŠ tƒu€zƒ„ uv~vt€zr rŠ €}v sruv

zstru€ƒ€ …ƒwv†„ƒvu zŠrusƒ€zrˆ § Œ ¡¢†› µzv„ ¢uƒ„ƒu —~ƒ„ƒ…z„z€ ¦µ¢—§ ‘›“

Šu€}vu uvw€uz~€w €}v rt€zrw … uvzuz‚ €}ƒ€ €}v v~rxz‚ rŠ €}v v}ƒ~vsv€†„ƒvu

r€ wv €v~}zvw €}ƒ€ |r„x z€urx~v xuzŠ€{ ƒ„€}r‚} z€ xrvw }ƒyv €}v ƒxyƒ€ƒ‚v

rŠ …z€†t„ƒv v~rxz‚ˆ

Ÿ €}v uvwvƒu~} „z€vuƒ€uv{ ‰ur„x v€ˆ ƒ„ˆ ‘¨“ ~rwzxvu yƒuzrw „rrt w€u~€uvw xv†

wz‚vx €r v„zszƒ€v xuzŠ€ˆ ”r|vyvu{ ƒ„„ €}vzu ~rxvuw ƒuv „vww v•~zv€ €}ƒ Œ ¡¢†

™

—¤¥—ˆ–ƒ…sƒ ƒx ¶ƒ‡}ru ‘·“wv ƒ tuvxz~€zr w€u~€uv Šru…z€†t„ƒv v~rxvu|}z~}

xrvwr€wv „vwwzstru€ƒ€…z€†t„ƒvwrŠtuvyzrww……ƒxw€r tuvxz~€sruvzstru€ƒ€

…z€†t„ƒvw rŠ €}v ~uuv€ w……ƒxˆ –}zw ~ƒ uvx~v ~rstuvwwzr v•~zv~ …€ „zs†

z€w vuuru turtƒ‚ƒ€zrˆ Œruv uv~v€„ €}vuv zw ~r€zvx vru€ r xvyv„rtz‚ w~ƒ„ƒ…„v

yzxvr ~rxvuw{ ƒ„„ rŠ |}z~} Šr~wvw r €r„vuƒ€z‚ ƒ…wr„€v„ r xuzŠ€ ‘¸“{‘¹“ˆ

}z„vw~ƒ„ƒ…„v yzxvr ~rxz‚ ƒ„‚ruz€}swƒuv …v~rsz‚ sruv v•~zv€ ƒ€ ~rstuvwwz‚

€}v yzxvr{€}v „rwv ~rstuvwwzr v•~zv~ …v~ƒwv €}v z‚ruv ƒ„„ v}ƒ~vsv€†„ƒvu

zŠrusƒ€zr|}v tuvxz~€z‚€}v …ƒwv „ƒvuˆ Ÿ tƒu€z~„ƒu{v‹tvuzsv€ww}r| €}ƒ€|z€}

Œ ¡¢†™ ——{Œ ¡¢†› ƒx ”ˆ™¨

š

w~ƒ„ƒ…z„z€ srxvwƒ„„wvuŠurs ºˆœ†’ˆœxŽ „rwwvwŠru

vyvu „ƒvu ‘™“{ ‘’º“ˆ Ÿ €}v uv~v€ xvyv„rtsv€ rŠ µ¢— ‘›{ ’’“{€}v xvwz‚ tur~vww |ƒw

yvu ~r~vuvx |z€} €}v ~rst„v€v v„zszƒ€zr rŠ ƒ„„ xuzŠ€ˆ ‰w ƒ uvw„€{ €}v ƒ„‚ruz€}s

wvuw wvyvuv ~rstuvwwzr zv•~zv~ ‘’™“ˆ –}vuv }ƒyv …vv wrsv t…„zw}vx ƒ€€vst€w

€r ƒxxuvww €}v ~rstuvwwzr zv•~zv~ ‘’™“{ …€ €}vwv ƒuv ƒ„wr …ƒwvx r €}v tuz~zt„v

rŠ €r„vuƒ€z‚ r xuzŠ€ˆ

–}v uv~r‚z€zr €}ƒ€ €}v zstƒ~€ rŠ vuuruw z ƒ rv†„ƒvu ~rxvu ~ƒ …v tur…ƒ…z„zw†

€z~ƒ„„ ~}ƒuƒ~€vuz˜vx … €}v v~rxvu }ƒw „vƒx €r uƒ‚v rŠ sv€}rxw{ z~„xz‚ €}rwv

rŠ v‚vu ƒx qr»€v¼ ‘’š“{ ¶}ƒ‚ v€ˆ ƒ„ˆ ‘’›“{ ƒx  v€ˆ ƒ„ˆ ‘’œ“ˆ –}v zstƒ~€ rŠ vu†

uruw z ƒ €|r†„ƒvu ~rxvu }ƒw ƒ„wr …vv tur…ƒ…z„zw€z~ƒ„„ ~}ƒuƒ~€vuz˜vx z €}v v~rxz‚

tur~vww … ¶}ƒ‚ v€ˆ ƒ„ˆ z ‘’¨“ˆ ”r|vyvu{ |}z„v €}v ~rwzxvu €}v zstƒ~€ rŠ vuuruw

z €}v v}ƒ~vsv€†„ƒvu uv~rw€u~€zr{ €}v v~rxvu €}v rt€zsz˜v xrvw r€ }ƒyv

€}v rt€zr rŠ ƒ„„r|z‚ xuzŠ€ €r v€vu z€r €}v …ƒwv†„ƒvu uv~rw€u~€zrˆ ”v~v{ €}vzu

w~}vsv w€z„„ }ƒw „zsz€vx ~rstuvwwzr v•~zv~ ~rstƒuvx €r ƒ rv†„ƒvu v~rxvuˆ

½u |ru‡ zw …ƒwvx r €}v r…wvuyƒ€zr €}ƒ€ zŠ rv ~ƒ vv~€zyv„ sƒƒ‚v vuuru

turtƒ‚ƒ€zr z …r€} ƒ rv†„ƒvu v~rxvu ƒx ƒ €|r†„ƒvu v~rxvu €}ƒ€ xrvw r€ ƒ„„r|

(3)

v~rxvu €}ƒ€ xrvw ƒ„„r| €}v z€urx~€zr rŠ xuzŠ€ z€r €}v …ƒwv „ƒvuˆ —~} ƒ v†

~rxvu |z„„ }ƒyv ‚uvƒ€vu ~rstuvwwzr v•~zv~ Šru }z‚}vu …z€†uƒ€vw{|z€} r„ w„z‚}€„

xv‚uƒxvx uvwz„zv~v Šru €}v „r|vu …z€†uƒ€vwˆ

Ÿ tƒu€z~„ƒu{xvwtz€v €}v tuvxrszƒ~v rŠƒu‚sv€wz €}v „z€vuƒ€uv sƒz€ƒzz‚

€}ƒ€ ww€vsw w}r„x r€ …v xvwz‚vx €r ƒ„„r| xuzŠ€{€}vuv zw wrsv vyzxv~v €}ƒ€ xuzŠ€

vvx r€ …v v„zszƒ€vx ~rst„v€v„ˆ Ÿ ‰uƒyzx v€ˆ ƒ„ˆ ‘™“{ €}v Œ ¡¢†™ —¤¥— |z€}

ºˆ’¾ ~v„„ „rwwvw |ƒw zyzwz…„v vyv |}v €}v …ƒwv …z€†uƒ€v |ƒw r„

™

œ¾ rŠ €}v €r€ƒ„

…z€†uƒ€vˆ µu€}vu{ z ‘’·“{ €}v „rrt w€u~€uv |z€} r„ tƒu€zƒ„ szwsƒ€~} ~r€ur„

turyzxvx €}v …vw€ wz‚„v†~}ƒv„ uv~rw€u~€zr ƒ„z€ Šru ƒ ‚zyv uvxxƒ~ z ƒ

sr€zr†~rstvwƒ€vx s„€zt„v xvw~uzt€zr yzxvr ~rxvuˆ

Ÿ €}zw tƒtvu{ |v ~rwzxvu w€u~€uvw Šru sƒƒ‚z‚ xuzŠ€ z ƒ w~ƒ„ƒ…„v ¿q–†…ƒwvx

sr€zr†~rstvwƒ€vx yzxvr ~rxvuˆ µru ƒ ~rstuv}vwzyv sƒƒ‚vsv€ rŠ xuzŠ€{ ®yv

Švƒ€uvw ƒuv v~vwwƒuˆ  ƒu€zƒ„ sƒƒ‚vsv€ rŠ xuzŠ€ zw trwwz…„v |z€} xzvuv€ w…wv€w

rŠ €}vwv ®yv Švƒ€uvwˆ

À

µzuw€{€}vuv w}r„x …v ƒ svƒw€r z€urx~v xuzŠ€ z~uvsv€ƒ„„ˆ –}zw zw w€uƒz‚}€†

Šru|ƒux €r ƒ~}zvyv … …z€†t„ƒv v~rxz‚ ru… ~uvƒ€z‚ ƒ vs…vxxvx …z€w€uvƒsˆ

–}zw |z„„r„ …v vv~€zyv{ }r|vyvu{zŠ wvx z ~rž~€zr |z€} ƒ sv~}ƒzws z

€}v €uƒwtru€ turyzxvw sruv uv„zƒ…„v xv„zyvu rŠ €}v sruv zstru€ƒ€ …z€†t„ƒvw

€r €}v uv~vzyvuˆ ¡‹ƒst„vw ~ƒ …v Šrx z ‘š“ ƒx ‘œ“ˆ

À

—v~rx{ €}vuv w}r„x …v ƒ |ƒ Šru €}v v~rxvu €r svƒwuv €}v xuzŠ€ …vz‚ tr†

€v€zƒ„„ z€urx~vx{wr z€ ‡r|w |}v xuzŠ€ zw …v~rsz‚ wz‚z®~ƒ€ˆ

À

–}zux{€}vuv w}r„x …v v~rxz‚ rt€zrw €}ƒ€ ~ƒ ƒ„„r| xuzŠ€ ¦zv{ ƒ„„r| vuuruw z

€}v v}ƒ~vsv€†„ƒvu €r turtƒ‚ƒ€v z€r €}v …ƒwv „ƒvu§{ |}z„v wzs„€ƒvrw„

‡vvtz‚ €}v ƒsr€ rŠ xuzŠ€ xvu ~r€ur„ˆ

À

µru€}{€}vuv w}r„x …v ƒ svƒw €r xuƒw€z~ƒ„„ uvx~v ru v„zszƒ€v xuzŠ€ |z€}r€

€}v vvx Šru ƒ Š„„ Ÿ†Šuƒsvˆ

À

µzŠ€}{ €}vuv w}r„x …v ƒ ww€vs†„vyv„ rt€zsz˜ƒ€zr{ xvwz‚vx €r sƒ‹zsz˜v v‹†

tv~€vx ƒ„z€ ƒ~urww ƒ„„v‹tv~€vx uv~vzyvuwˆ Ÿ}vuv€ €r €}zwrt€zsz˜ƒ€zr{€}vuv

sw€ …v wrsv ¦trwwz…„ zƒ~~uƒ€v§ ‡r|„vx‚v r €}v tƒu€ rŠ €}v v~rxvu ƒw €r

}r| sƒ vuuruw €}v ~}ƒv„ |z„„ z€urx~v{ ƒx }r| €}rwv vuuruw |z„„ …v z€ur†

x~vx ¦‚uƒxƒ„„ …z€†t„ƒv … …z€†t„ƒv{ ru wxxv„ |}v ƒ v€zuv tƒ~‡v€ rŠ

}z‚}†tuzruz€ xƒ€ƒ zw „rw€§ˆ

Ÿ €}zw tƒtvu{ |v tutrwv„ xrÁ€ ~rwzxvu w€u~€uvw „z‡v Ž†Šuƒsvw ru  Á†Šuƒsvw

¦|}z~} ƒuv wzsz„ƒu €r Ž†Šuƒsvw |z€}r€ Šru|ƒux tuvxz~€zr{ ƒx |}z~} ƒuv vƒ…„vx

… ¥vŠvuv~v  z~€uv —v„v~€zr ¦ ¥ —§ srxv rŠ ƒv‹ ¤ z ”ˆ™¨

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‘’“§{ vyv €}r‚}

€}vwv w€u~€uvw ƒ€uƒ„„ uvx~v xuzŠ€ … }ƒyz‚ Šv|vu tuvxz~€zrw sƒxv Šurs tƒu†

€zƒ„„ ~ruuv~€ xƒ€ƒˆ Ÿw€vƒx |v Šr~w r |ƒw €r sƒƒ‚v xuzŠ€ |z€}z €}v tuvxz~€zyv

Šuƒsv|ru‡ rŠ †Šuƒsvwˆ Ž† ƒx  Á†Šuƒsvw ~ƒ vƒwz„ …v z~rutruƒ€vx z€r ru ww€vs†

„vyv„ w€u~€uv{ ƒx zxvvx{ ƒ  Á†Šuƒsv zw rv |ƒ €r „zsz€ €}v €vstruƒ„ v‹€v€ rŠ

vuuru turtƒ‚ƒ€zr |z€}r€ ƒ Ÿ†Šuƒsv{ vyv Šru ƒ rv†„ƒvu v~rxvuˆ

(4)

Bit−Plane Arithmetic VLC

Bit−Plane Arithmetic

VLC IQ

IQ

IQ c

IDCT

IDCT

IDCT Motion

Comp.

FM f

FM c

Motion Comp.

Drift Comp.

Decoder Output

Base VLC

f a

Base bits 2nd part of enhancement bits

1st part of enhancement bits

p ^ nf

p ^ nc

Control information (motion comp. + macroblock type)

µz‚uv ’£ –|r†„rrt xv~rxvu |z€} xuzŠ€ ~r€ur„

}z„v |v v‹t„z~z€„ ~rwzxvu r„ }…uzx …„r~‡†…ƒwvx ¿q– ƒtturƒ~}vw €r „ƒvuz‚

}vuv{ €}v …ƒwz~ zxvƒw ~r„x ƒ„wr …v ƒtt„zvx €r |ƒyv„v€ yzxvr ~rxvuw €}ƒ€ wv wrsv Šrus

rŠ sr€zr†~rstvwƒ€vx tuvxz~€zrˆ

—v~€zr

™

tuvwv€w €}v ‚vvuƒ„ w~ƒ„ƒ…„v ~rxvu |z€} xuzŠ€ ~r€ur„ˆ Ÿ wv~€zr

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|v tuvwv€ ƒ„€vuƒ€v rt€zsz˜ƒ€zr ~uz€vuzƒ Šru €}v w~ƒ„ƒ…„v yzxvr v~rxvuˆ —v~€zr ›

xvsrw€uƒ€vw €}ƒ€ ru ~rxvu tvuŠrusw …v€€vu €}ƒ €}uvv ƒ„€vuƒ€zyv v~rxvuw ƒ~urww

srw€ rŠ €}v uƒ‚v rŠ ~}ƒv„ …z€†uƒ€vw{ vyv €}r‚} ru ~rxvu wvuw sƒu‚zƒ„ tvu†

Šrusƒ~v xv‚uƒxƒ€zr ƒ€ €}v „r|vw€ …z€†uƒ€vw ~rstƒuvx €r €}v r†xuzŠ€ v~rxvu ƒ„€vu†

ƒ€zyvwˆ

à ÄoÅÆÅÇÆÈ ÉÊË olmÈk ÌpjÍ mkpÎj olijklÆ

–}v w~ƒ„ƒ…„v ¿q– xv~rxvu |z€} xuzŠ€ ~r€ur„ w}r| z µz‚uv ’ z~rutruƒ€vw ƒ„„ ®yv

~rstrv€w v~vwwƒu Šru vv~€zyv xuzŠ€ sƒƒ‚vsv€ˆ Ÿ€ €ƒ‡vw €}uvv „vyv„w rŠ zt€ˆ

–}v …ƒwv …z€w{ |z€} …z€ uƒ€v ÏÐÑ{ ƒuv ƒwwsvx €r …v ƒ„|ƒw ƒyƒz„ƒ…„vˆ –}v ®uw€

tƒu€ rŠ €}v v}ƒ~vsv€ …z€w{ |z€} …z€†uƒ€v ÏÐÒ Ó ÏÐÑ{ sƒ r€ …v uv~vzyvx … €}v

xv~rxvu{ …€ zŠ uv~vzyvx{ ƒuv wvx €r tuvxz~€ €}v v‹€ Šuƒsvˆ –}v wv~rx tƒu€ rŠ €}v

v}ƒ~vsv€ …z€w{ |z€} …z€†uƒ€v ÏÐÔ Ó ÏÐÒ{ sƒ r€ …v uv~vzyvx{ ƒx zw vyvu wvx

€r tuvxz~€ €}v v‹€ Šuƒsvˆ

Žr€} €}v xv~rxvu ƒx €}v v~rxvusƒz€ƒz€|rŠuƒsv svsruzvwˆ –}v Õ°²ªÖ

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×°ªØ xvtvxw r„ r €}v …ƒwv …z€w ƒx vyvu xuzŠ€wˆ –}v Ù´

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txƒ€vx … ®uw€ ~rs…zz‚ …r€} sr€zr ~rstvwƒ€vx Šuƒsv svsruzvw{ ƒx €}v

ƒtt„z‚ €}v …ƒwv …z€w ƒx €}v ®uw€ tƒu€ rŠ €}v v}ƒ~vsv€ …z€wˆ –}v ®v svsru

xuzŠ€w |}v wrsv rŠ €}vwv v}ƒ~vsv€ …z€w ƒuv „rw€ˆ

Úv€ »

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Ðуx »

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ÐÒ …v sr€zr†~rstvwƒ€vx tuvxz~€zrwŠurs €}v ~rƒuwv ƒx ®v svs†

ruzvw Šru sƒ~ur…„r~‡ ܈ µru vƒ~} sƒ~ur…„r~‡{€}v xuzŠ€ ~rstvwƒ€zr …r‹ r µz‚uv ’

~rs…zvw €}v ~rƒuwv ƒx ®v tuvxz~€zrw ƒ~~ruxz‚ €r ƒ sƒ~ur…„r~‡€tv zŠrusƒ€zrˆ

–}v ®uw€ rt€zr v„zszƒ€vw xuzŠ€ … €ƒ‡z‚ €}v ~rƒuwv tuvxz~€zr »

Û

ÐÑ r„ ¦ƒw z µ¢—§ˆ

(5)

DCT Q c

I DCT I Q c

FM f

VLC Bit-plane VLC Q f

I Q f

Input signal

First

bits

Base bits Q a

Second part of enhancement bits

Arithmetic encoder

Bit-plane Arithmetic encoder

part of enhancement VLC

FM c

I DCT drift

control

µz‚uv ™£ –|r†„rrt v~rxvu |z€} xuzŠ€ ~r€ur„

–}v wv~rx rt€zr ƒ„„r|w xuzŠ€ … €ƒ‡z‚ €}v ®v tuvxz~€zr »

Û

ÐÒ r„ ¦ ƒw z Œ ¡¢†

™

—¤¥—§ˆ –}v €}zux rt€zr uvx~vw Ý …€ xrvw r€ v„zszƒ€v Ý xuzŠ€ … ƒyvuƒ‚z‚ …r€}

tuvxz~€zrw ¦»

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ˆ µru wzst„z~z€{ |v r„ ~rwzxvu }vuv €}vwv €}uvv rt€zrwß

z€urx~z‚ v| ~rs…zƒ€zrw |r„x ƒ€uƒ„„ v‹€vx ru w~}vsvˆ

–}v w~ƒ„ƒ…„v ¿q– v~rxvu ¦µz‚uv ™§ €uƒ~‡w …r€} Šuƒsv svsruzvw xvu €}v

ƒwwst€zr €}ƒ€ ƒ„„ …z€w ƒuv uv~vzyvx … €}v xv~rxvuˆ –}v v~rxvu sƒ‡vw wvyvuƒ„

xv~zwzrw €}ƒ€ ƒv~€ €}v xv~rxvu xuzŠ€ z €}v ®v svsruˆ –}v ®uw€ xv~zwzr zw €}v

wv„v~€zr rŠ ƒ ~rs…zƒ€zr srxv Šru €}v xuzŠ€ ~rstvwƒ€zrˆ –}v wv~rx xv~zwzr

zyr„yvw €}v s…vu rŠ …z€†t„ƒvw €}ƒ€ sz‚}€ …v wvx z €}v tuvxz~€zr „rrtß €}zw zw

ƒ~~rst„zw}vx … ƒxžw€z‚ €}v ƒ€z˜ƒ€zr àÒ uv„ƒ€zyv €r €}v ®ƒ„ ƒ€z˜ƒ€zr àԈ

‰ €}zux €v~}zv ~r„x …v €r ƒtt„ ƒ ®„€vu €r €}v tuvxz~€zr Šurs €}v ~rƒuwv „rrt

z ruxvu €r wsrr€} €}v xzw~r€zz€zvw ƒwwr~zƒ€vx |z€} tuvxz~€zr …„r~‡w €}ƒ€ w€uƒxx„v

sƒ~ur…„r~‡ …rxƒuzvwß |v xr r€ v‹t„ruv €}zw „ƒ€€vu trwwz…z„z€ z €}zw tƒtvuˆ

¿zvuv€ zsƒ‚vw }ƒyv xzvuv€ €uƒxv†rw …v€|vv v•~zv~ ƒx uvwz„zv~v ƒw ƒ

Š~€zr rŠ €}vwv xuzŠ€ ~r€ur„ xv~zwzrwˆ –}v v~rxvu sw€ sƒ‡v €}vwv xv~zwzrw ƒx

wvx €}zw zŠrusƒ€zr €r €}v xv~rxvuˆ –}v v~rxvu sƒ‡vw €}vwv ~}rz~vw r ƒ sƒ~†

ur…„r~‡ …ƒwzw |z€} €}v ‚rƒ„ rŠ rt€zsz˜z‚ €}v €r€ƒ„ ww€vs tvuŠrusƒ~v ƒw xvw~uz…vx

z wv~€zr

š

ˆ

–r szzsz˜v €}v záv~v rŠxuzŠ€z ‚vvuƒ„{|v wv ƒ vs…vxxvx ~rxvu ¦xvw~uz…vx

z wv~€zr ›§€r ~rstuvwwvƒ~} zxzyzxƒ„Šuƒsvˆ –}zwƒ„„r|wsruv wz‚z®~ƒ€v}ƒ~v†

sv€ „ƒvu …z€†t„ƒvw €r …v uv~vzyvx ƒx xv~rxvx vyv zŠ €}v v€|ru‡ xrvw r€ }ƒyv

w•~zv€ …ƒx|zx€} €r wvx €}v v€zuv v}ƒ~vsv€ „ƒvuˆ –}v …ƒwv†„ƒvu âÚq ƒ„wr

uv„zvw r ƒuz€}sv€z~ …z€†t„ƒv ~rxz‚{ …€ ~r„x ƒ„wr …v zst„vsv€vx wz‚ €}v wƒ„

”sƒ sv€}rxˆ Œƒ~ur…„r~‡ €tv zŠrusƒ€zr ƒx sr€zr yv~€ruw ƒuv z~„xvx z

(6)

„ƒvuwˆ

ã äiolmÈk låjpæpçÅjpli

–}v €uƒxz€zrƒ„ ¦rŠ€v zst„z~z€§ rt€zsz˜ƒ€zr |}v xvwz‚z‚ ƒ w~ƒ„ƒ…„v ~rxvu zw €r

szzsz˜v €}v sƒ‹zss trwwz…„v xzw€ru€zr ƒ€ €}v xv~rxvu{ w…žv~€ €r €}v ~rw€uƒz€

€}ƒ€ €}v ~}ƒv„ uƒ€v Ï zw ÏèÑ é Ï é ÏèԈ –tz~ƒ„„{ …r€} ÏèÑ ƒx ÏèÔ ƒuv ‡r|{

ƒ„€}r‚} vz€}vu €}v zw€ƒ€ƒvrw ~}ƒv„ uƒ€v ru €}v ƒyvuƒ‚v ~}ƒv„ uƒ€v z wrsv

€zsv z€vuyƒ„ zw ‡r|ˆ –}zw sƒ‹zss xzw€ru€zr zw ƒ~}zvyvx Šru €}v szzss uƒ€v

è

Ïш –}w{ rt€zsz˜z‚ wz‚ €}zw ~uz€vuzr „vƒxw €r ƒ tuvxz~€zr tur~vww €}ƒ€ xrvw r€

€r„vuƒ€v ƒ xuzŠ€ z €}v …ƒwv „ƒvuˆ ”r|vyvu{ €}zw ƒ„wr uvw„€w z „ƒu‚vu€}ƒ v~vwwƒu

xzw€ru€zrwƒ€ uƒ€vw vƒu ÏèԈ v v‹t„ruv }vuv wrsv ƒ„€vuƒ€v ~uz€vuzƒ Šru rt€zsz˜ƒ€zr{

€r ƒ~}zvyv …v€€vu ~rstuvwwzr ƒ€ }z‚} uƒ€vw |z€}r€ wƒ~uz®~z‚ €rr s~} ƒ„z€ ƒ€

„r|vu uƒ€vwˆ

½v rt€zsz˜ƒ€zr~uz€vuzrzw€r szzsz˜v€}v xzw€ru€zr ƒ€€}v }z‚}vw€uƒ€v{w…žv~€

€r ~rw€uƒz€ €}ƒ€ €}v xuzŠ€ ƒ€ €}v „r|vw€ uƒ€v zw ‡vt€ …v„r| wrsv yƒ„vˆ –}zw ~ƒ …v

v‹tuvwwvx ƒw szêëÔì w…žv~€ €r ëÑ é ëèÑ ƒx €}v uƒ€v ~rw€uƒz€w

ÏÑ é ÏèÑ ƒx ÏÔ é ÏèÔí ¦’§

”vuv{ ÏÑ ƒx ÏÔ ƒuv €}v uƒ€vw ƒwwr~zƒ€vx |z€} €}v …ƒwv …z€w{ ƒx ƒ„„ €}v …z€w{ uvwtv~†

€zyv„{ ƒx ëÑ ƒx ëÔ ƒuv €}v xzw€ru€zrw rŠ €}v ƒwwr~zƒ€vx uv~rw€u~€zrwˆ

‰ ƒ„€vuƒ€v rt€zsz˜ƒ€zr ~uz€vuzr zw €r szzsz˜v €}v xzw€ru€zr ƒyvuƒ‚vx ƒ~urww

ƒ„„ trwwz…„v ~}ƒv„ uƒ€vw{ w…žv~€ €r €}v uƒ€v ~rw€uƒz€w z ¦’§ˆ ¿v€vuszz‚ €}v

ƒyvuƒ‚v xzw€ru€zr{ }r|vyvu{ uvzuvw ‡r|„vx‚v rŠ€}v tur…ƒ…z„z€ xzw€uz…€zr rŠ €}v

uƒ€vwˆ –}zw zŠrusƒ€zr zw€tz~ƒ„„ r€ ƒyƒz„ƒ…„vˆ ”r|vyvu{ ƒ wzst„v ƒttur‹zsƒ€zr zw

€r szzsz˜v ƒ |vz‚}€vx xzw€ru€zr îÑëÑ ¦’ÓîѧëÔ{w…žv~€ €r €}v uƒ€v ~rw€uƒz€w

z ¦’§ˆ –}v ~}rz~v rŠ îÑ zw záv~vx … €}v ƒtt„z~ƒ€zrˆ

–}vwv €|r ~rw€uƒzvx rt€zsz˜ƒ€zrw ~ƒ …v wr„yvx … ~ryvu€z‚ €}vs €r ~r†

w€uƒzvx ڃ‚uƒ‚zƒ rt€zsz˜ƒ€zrwˆ –}v ~rw€uƒzvx rt€zsz˜ƒ€zr tur…„vsw |z„„

}ƒyv €|r ru €}uvv

Ú

ƒ‚uƒ‚v tƒuƒsv€vuw{ ƒx ~ƒ …v wr„yvx wz‚ €v~}zvw wzsz„ƒu

€r €}rwv z ‘’š{ ’›{ ’¨“ˆ

v €ƒ‡v ƒ wzst„vu ƒtturƒ~} ƒ€ €}zw €zsvˆ z€} €}v xvwzuv €r ‡vvt €}v ƒsr€

rŠ xuzŠ€ „zsz€vx{ |v xv~zxv }r| €r ~rxv vƒ~} sƒ~ur…„r~‡ …ƒwvx r €}v ws rŠ €}v

ƒ…wr„€v vuuru rŠ €}v €}uvv trwwz…„v tuvxz~€zrw£ ïÐÑ{ ïÐÒ ƒx ïÐðÑñÒòˆ ŸŠ €}v xuzŠ€

Šru €}zw sƒ~ur…„r~‡ |z„„ …v „ƒu‚vu €}ƒ wrsv €}uvw}r„x{ ïÐÑ ó ôõö÷Òø{ |v ~}rrwv €r

~rxv €}v sƒ~ur…„r~‡ wz‚ €}v tuvxz~€zr ¦

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ˆ ½€}vu|zwv{ |v ~}rrwv €}v

tuvxz~€zr €}ƒ€ }ƒw €}v szzss ws rŠ €}v ƒ…wr„€v vuuruˆ

ù úÈûnÆjû

v ~rstƒuv €}v tvuŠrusƒ~v rŠ ru turtrwvx ~rxvu €r €}uvv ww€vsw£ ƒ rv†„rrt

v~rxvu |z€} r xuzŠ€ ~r€ur„{ €}v v~rxvu rŠ ‰ur„x v€ˆ ƒ„ˆ ‘¨“{ ƒx ƒ µ¢— v~rxvu

‘›“ˆ ‰„„ v~rxvuw wv ƒ zxv€z~ƒ„ vs…vxxvx ¿q– ~rxvu Šru ~rstuvwwzrˆ

(7)

–}v ¿q– ~rv•~zv€w ƒuv ®uw€ xzyzxvx … €}v ®vw€ ƒ€z˜vu àԈ –}v ƒ…wr„€v yƒ„v

rŠ €}v z€v‚vu r€zv€ ~ƒ ƒ„|ƒw …v uvtuvwv€vx wz‚ €|v„yv …z€wˆ –}v ~rxvu tur†

~vwwvw vƒ~} …„r~‡ rŠ ¨› ~rv•~zv€w … z€vuƒ€z‚ r €}v €|v„yv …z€†t„ƒvwˆ Ÿ€ sƒz€ƒzw

€}uvv …zƒu ƒxƒt€zyv ¶†~rxvu ‘’¸“ Šru vƒ~} „ƒvu£ rv Šru €}v …ƒwv …z€w{ rv Šru €}v

®uw€ tƒu€ rŠ €}v uv®vsv€ …z€w{ ƒx rv Šru €}v wv~rx tƒu€ rŠ €}v uv®vsv€ …z€wˆ

–}v ttvu …z€†t„ƒvw ƒuv v~rxvx wz‚ €}v ¶†~rxvu ƒwwr~zƒ€vx |z€} €}v …ƒwv …z€wˆ

–}v „r|vu …z€†t„ƒvw ƒuv v~rxvx wz‚ ƒ ¶†~rxvu ƒwwr~zƒ€vx |z€} uv®vsv€ …z€w{

ƒ~~ruxz‚ €r €}v ~}rz~vw rŠ àÑÞàÔ ƒx àÒÞàԈ

¡ƒ~} …z€†t„ƒv z€vuƒ€zr tur~vwwvw vƒ~} ~rv•~zv€ … ~rxz‚ |}v€}vu €}v …zƒu

uvtuvwv€ƒ€zr rŠ z€w ƒ…wr„€v yƒ„v ~r€ƒzw ƒ º ru ƒ ’ Šru €}v ~uuv€ …z€†t„ƒvˆ –}v

wz‚ …z€wƒuv ~rxvxžw€ ƒŠ€vu~rxz‚ €}v ®uw€ ’rŠvƒ~} ~rv•~zv€ˆ —~} ~rv•~zv€w ƒuv

ƒsvx Ö«³´«ÙÕ ²´­ˆ  uvyzrw …z€†t„ƒv ~rxvuw ‘’¹{

™

º“ €ƒ‡v ƒxyƒ€ƒ‚v rŠ €}v |ƒyv„v€

€uƒwŠrus w€u~€uv … ~rxz‚ xv~zwzrwƒxxuvwwz‚ €}v wz‚z®~ƒ~v rŠv€zuv ~rv•~zv€

‚urtwˆ –}v wƒsv uvw„€ zw ƒ~}zvyvx Šru ˜z‚†˜ƒ‚ ruxvuvx ¿q– ~rv•~zv€w … ~rxz‚

ƒ w€rttz‚ xv~zwzr ƒŠ€vu vƒ~} wz‚z®~ƒ€ ~rv•~zv€ˆ ‰ trwz€zyv w€rttz‚ xv~zwzr

zxz~ƒ€vw€}ƒ€rvrŠ€}v uvsƒzz‚~rv•~zv€w|z„„…v wz‚z®~ƒ€ƒŠ€vutur~vwwz‚ €}zw

…z€†t„ƒvˆ }v z€ zw ‡r| €}ƒ€ wrsv uvsƒzz‚ ~rv•~zv€w ƒuv ƒ„uvƒx wz‚z®~ƒ€{

€}vuv zw r vvx €r ~rxv €}v w€rttz‚ xv~zwzrˆ

–}v ¶†~rxvu uvtuvwv€w tur…ƒ…z„z€ xzw€uz…€zrw wz‚ ~r€v‹€ yƒuzƒ…„vwˆ –}vwv

yƒuzƒ…„vw ƒuv ƒxƒt€vx ƒŠ€vu ~rxz‚ vƒ~} …zƒu xv~zwzrˆ ¡ƒ~} …z€†t„ƒv zw v~rxvx

wz‚ z€w r| wv€ rŠ ~r€v‹€ yƒuzƒ…„vw wr €}ƒ€ z€ ~ƒ …v xv~rxvx |z€}r€ ‡r|„vx‚v

rŠ €}v „vww†zstru€ƒ€ …z€†t„ƒvwˆ qr€v‹€ yƒuzƒ…„vw sz‚}€ …v uvwv€ ƒŠ€vu ~rxz‚ ƒ

s…vu rŠ …„r~‡w{Šru zw€ƒ~v ƒŠ€vu vƒ~} Šuƒsv{ ru ƒŠ€vu vƒ~} v€|ru‡ tƒ~‡v€ˆ

üý

v wv vƒ~} v~rxvu €r ~uvƒ€v ƒ wz‚„v v~rxz‚{~r€ƒzz‚ €}v …ƒwv „ƒvu ƒx › …z€†

t„ƒvwrŠv}ƒ~vsv€†„ƒvuzŠrusƒ€zrˆ ¡ƒ~} ~rxvu wvw ƒ®‹vx{zxv€z~ƒ„{ƒ€z˜vu

z €}v …ƒwv „ƒvuˆ Ÿ €}v ~uuv€ zst„vsv€ƒ€zr{ru turtrwvx ~rxvu wv€w àÒ àԈ

–r r…€ƒz €}v tvuŠrusƒ~v ~rstƒuzwrw z µz‚uvw

š

ƒx › Šru €}v wvv~vw

² ×°´«­°ª ƒx °ª

¯

ײ´{ uvwtv~€zyv„{ |v w~~vwwzyv„ xzw~ƒux v}ƒ~vsv€†„ƒvu

…z€†t„ƒvw ƒx xv~rxv €}v uvsƒzxvuˆ –}v ‹†ƒ‹zw w}r|w €}v xv~rxvx …z€†uƒ€v{ ƒx

€}v †ƒ‹zw w}r|w €}v  —¤¥ rŠ €}v uvw„€z‚ xv~rxvu uv~rw€u~€zr ƒw …z€†t„ƒvw ƒuv

xzw~ƒuxvxˆ ‰„wr w}r| zw €}v tvuŠrusƒ~v rŠ€}v rv†„rrt v~rxvu |z€} r „rww ¦wr„zx

„zv§ˆ –}zw turyzxvw ƒ ttvu …rx r €}v tvuŠrusƒ~v rŠ €}v w~ƒ„ƒ…„v ~rxvuwˆ

–}v µ¢— ~rxvu tvuŠruswtrru„{vwtv~zƒ„„ Šru€}v srw€„†w€z„„ ”ƒ„„ wvv~vˆ –}v

rv†„ƒvu xv~rxvu |z€} xuzŠ€ wvuw ƒ

™

ˆš†™ˆœ xŽ xv‚uƒxƒ€zr ƒ€ €}v „r|vw€ …z€†uƒ€v{

~rstƒuvx €r €}v xuzŠ€†Šuvv ‰ur„x ƒx µ¢— xv~rxvuwˆ ½u turtrwvx ~rxvu wvuw

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