• 検索結果がありません。

JAIST Repository: Method of digital-audio watermarking based on cochlear delay characteristics

N/A
N/A
Protected

Academic year: 2021

シェア "JAIST Repository: Method of digital-audio watermarking based on cochlear delay characteristics"

Copied!
23
0
0

読み込み中.... (全文を見る)

全文

(1)JAIST Repository https://dspace.jaist.ac.jp/. Title. Method of digital-audio watermarking based on cochlear delay characteristics. Author(s). Unoki, Masashi; Hamada, Daiki. Citation. International Journal of Innovative Computing, Information and Control, 6(3(B)): 1325-1346. Issue Date. 2010-03. Type. Journal Article. Text version. publisher. URL. http://hdl.handle.net/10119/9083. Rights. Copyright (C) 2010 ICIC International. Masashi Unoki and Daiki Hamada, International Journal of Innovative Computing, Information and Control, 6(3(B)), 2010, 1325-1346.. Description. Japan Advanced Institute of Science and Technology.

(2)    

(3)      

(4)     .  .    

(5)   .    . ÔÔº  .    

(6)                     

(7)              . !" ! #     ! $  %&. . . #!   #'( 

(8) 

(9) 

(10)    ') ! *+, ,+.   

(11)

(12)   

(13)

(14)  .     

(15)   

(16)    .     

(17)     .       

(18)  .                   

(19)          

(20)    . .                        

(21).   !     .       !  

(22)                   

(23)  ! 

(24)    "             #      

(25)   !  # $             %     %    &'()  *+,     %  

(26)              - #            

(27)     *+. ,++ '/0  &&1          %          

(28)                       

(29)     .

(30)  # #. -% ! ('%  &%        ! &  . . . ## /  0  ! &.                              !! "  #$   !    !  !"  % &  "             ! '            "            !     #$            ( )           !   !"      " !      " !         *   !   !"       "     " ) ! !"  !   . "   " !  !  .   + &       "  ,  !   !"          "! -.     / )  "! %                !       0 "    ,"        !"                 1"    )    !"   .

(31) .    

(32) .  "   "        &  )     Æ" !   !"      !!        ,  2      ) ) )     3) - ) 4) 5) 6.7  !"  !!    ,        %    !   !"     8"    ! ! 3) -) 9) :) .7 &           !"        )         *        "  ) "  " !    %     !"    & !          !"  ! )   %   "   , ; 37  !" 3          "  7) 3 7 #$!" 3         7)  37  %$%% 3 /   1  ,    ! 7 & +  ,     !         %     /   ,"         ,"       )     "      & . ,   !      %  !  !" )    !       %        %   &  ,   !        %    ! !  .  " ! "    &"!     %     !  , 2'     ! 3 ! ! 7 &   )  0 !)     +  3<*=7 !  ,2 3) -9) .7)     ! /  # $ 8 3#$87 , 2 ! ! " %   8 -.)      >: ! -

(33) .)   !  !  !!  3)   !  !  3**77 ! ! " ="   -. &       "     %   !"     ,2'   !               %     . !'!   <*=   "       ,    %)          !   !'!!  !  &)    !" "    , ) !"       *!  !     **   "            %   !       ,    !   ( )    !" "    , ) !"      "      Æ        %   !   >    - .   ! !   !!   &%   -4.   ! !  !    &    0           & !!       "     %        &)        !!         %              !   " "   ". , )        %  +"       3  "  "      7              ( ) ,    %         " ! !     % !   ! ! &    .

(34) 

(35)          .   &  ,      %  %. .   "!   %  & ?Æ@  ?@          ") +")    ,     +   ?Æ @   +  "   "  !  .   

(36)       

(37)   Æ Æ    Æ Æ #$% Æ  Æ '' Æ Æ Æ.    

(38)  

(39)       

(40)         

(41)  !

(42)  " #"   &      

(43)  ( 

(44)  

(45)  .   ! ! ! " A%"   -5.)      " ! ! " 8    % -6.)      /  %  !  387 ! ! " A  -9.)  0! & !""     %   !   )    " ! !    "   " !      % )   ,"     %             %   " !  "   B     %       !    )   "   /    !        ! !     " "      Æ        %   ! "    % ! A    ! !     !  !  3##87 -:)  . &      !+       ##8 &       !    ##8  "     &"   !  "  !" 0!  (  )  !  "  !  ! !   !  .  ,)   ! 3  7 "       "     % !% ) !"   !          ! &     !  ! !       !  ! "   -)

(46) .   ")  "!   %    <*=) **) B$(C)  ##8 !!   ! " "    ,  ##8) !")          &          &   &      2    % !    !  ! 3"7  & +     &       ! )          !  &         " Æ       %   "    ,  &     %   +      %      " ! ! 3  ! !    % !7  "   ") +")       & !! ! !   !!   !    "         %         "     2   *     "     !"     "   0!   " !       %    "    * 4      !      " +       0!    * 5 !      1' 1          ! !  * 6  2  %".

(47) .    

(48) . Oval window APEX. Helicotrema Stapes. C. Scala vestibuli APEX. BASE BASE. B. Unwound. Scala tympani. A. Basilar membrane Round window. Place information. Basilar membrane motions. APEX. BASE A. B. C Delay. Frequency information Higher frequency. Lower frequency.   *     !  D  .   0     2  E            +  !     !      *  9  2  ! !       %  F"       %  $&'( %$  )!$

(49) $!" )$%%  )!$

(50) $!" )$%% G         &    F+ "      !      ) )  "!          !   !)     !   G   &           !  %  E )         &    !  "  !   !.   G   "          !  3    "  7 &        "   ) )  E        3=87)      F+ ! ;    ) )  "!              ! 3  7   "      F      !  )     "   )   !      !)  E     =8   ! )                !       =8   ! !    =8  " "   0    )     =8   !   ,"  ) )       ," & !         ?  @)    G   &                !   ! "       !0 & )      =8   !0       =     ! !     )     !%   !  "   "  ( )    "   .

(51) 

(52)          . .   $!  " !     ".        - . =   ! " !  H   !    !    !   G    - . =8         ! !""  " " &            !     =8    3      ! 7) !       !  + 3 !     7       !    3  7 & =8          +         !     ) !  )   )   )  )   "  0 3)  * 5  -.7 *      =8   ! !     ," !     )  !%    !   % !  3   ,7       , &  ," !  !%   ,           0 !   =8)   !0   )     ," !      0 .    &     !%  )   ) !   "  !   =8 &     .    ? "@ - .   $!$ %$%  *$$*     - ) 4.   . " +" /  ! ! 1   " 2      &"    "!   ! ; 37  !  3  . "7) 3 7  ! " "  ! 3)  ! "  !  2    =87)  347   "  ! 3)  ! "     !       "7) "   !        - . &    ! ," !   "  "              = - 5. & /    1   " !    ! ! !      &  )   !  "     ," !     !" /    =8   0!"    !       .

(53) .    

(54) . ?. Embedding data based on delay control. Cochlear delay. Normal Delay. 0. Freq. 0. Cochlear Compensated delay. Delay 0. 0. Freq.. Freq.. Cochlear delay. ?. Enhanced. 0. Freq.. Delay. Freq.. 0. Freq..   *     "    % .   "     !   !" " .   < !    " . !    ! . !0     = - 5.)  =8 /  !! 0"  !  . . I. . . . .    J  .  . . . . 37. .    I

(55) 

(56)

(57) 9

(58) 59 3(2 7) K I 9: )   I K  

(59)  ( ) I 45 6 ) I 4)   I

(60)   &  I 

(61) "' )

(62) I  ' ) I

(63)  )   I   & !             = - 5. G       ," !    ! ""        - . &    ! " "      ,")    "           ! !  0! & 0!  %         1) )     ,  "  1      " "   &        1   3 7    3)  1   "     1  " "   3 77 &    1   347         37)      "    " "   !     "  !   &.      " "      "  !   . . . . . . .

(64) 

(65)          . . 2 Cochlear delay (1/10) IIR all−pass filter. 1.8. Group delay (ms). 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 0. 5. 10. 15. 20. Frequency (kHz).   $ "   !"     +  B,3 7 $ "    "  

(66) . !. 4  $* +  !$ ,$&'( %)$&$ =     E   - ) 4.)    G  4)       " Æ         "  !     3  7     " "     ! " "  !     H            /"       % 3!"  7      H     "             ! " 3!  7    ")  ! !  !!      %         " &    G  5 !   "       "    - .)    "    "  

(67)   ! "   )  "      ,"          ,") !"     ,"  3 6 %(27    "         !       + )       %           "    !  ! "   +      !"   3?@  ?

(68) @7 H    ! +     "   ;  3 7 I.  J    .  . . 3 7.      + !    ! +  "     "   ! !    ! ,"  "      . +       !        ")    ! +  B,3 7 &    !   + !    B,3 7)  +   ! "      37    "    3 "  

(69)  "     G  57 " 2    ,  3<8*7 !2 .

(70) .    

(71) .  +)   ! "  37     ;  3 3 77  3 7 I  . 347    3 7 I  37   &    G  5 !  !! 0 . ") )   !"      ! +  B,347 ( )  !2    

(72) :6 H   +   B,3 7) )  37   37     !"   3?

(73) @  ?@7     "    3 "  

(74) 7       & ! !         "  +  ( )  + !  )    )   +     37   37) ! " H !       %     "      ! 5 &*!$&$ C ! !     ! ;       !    !    "  !    *           %   )   !          +  ! =)       !    ! 5   .

(75)   G  6   %       !   H  %      ; $* -. & ! + )  37   37)     /     3 I

(76) :6   I

(77)  967     " &      " % 0!      3 * 5 . 7 $* /. &   ) 37)  +    !  ")  37   37)    )  37   37)        ! .  " 3B, 357  3677 $* 0. &   ) 37)         !"  ) ) ?

(78) 

(79)

(80) 

(81) 

(82) 

(83)

(84) 

(85) @    G  6 $* 1. &  )  37   37)    "      37 3?

(86) @  ?@7)         % ) 37)  B,397 . . . . . . . . . . . . . . . . . . . I  37 J 3  7 J   3  7 357  37 I  37 J 3  7 J   3  7 367   37 3 7 I

(87)  37 I 397  37 3 7 I    3  7L    L  ( )    ! 0)      0)  L I       3   !       7    !  ,"            !  3 !7 .       !       "       %      % )  37   37 5     

(88)   G  9   F    !    H  %     ; $* -. H    37  37         %   37 . . . . . . .  . . .

(89) 

(90)          . w0. All - pass filter. for '0' , H 0 (z ). Original signal, x(n ). . Watermarked signal, y (n ) Bit inverse. w1. All - pass filter for '1' , H1 (z ). Embedded data, s(k) 010010101100110.   =%         ! !    %  Watermarked signal, y (n ). FFT. Y (ω). +. arg. ΔΦ0< ΔΦ1. Detected data, sˆ (k). '0'. Φ(ω) Original signal, x(n ). FFT. X (ω). arg. −. ΔΦ0≥ ΔΦ1. Detected data, sˆ (k). '1'.   =%        ! !   %  . $* /. &  ) 37)     % ) 37)   !    !!             $* 0. & ! /  37     )  B,3:7 GG&-.    G     3GG&7 $* 1. &    ! "      37   37    . .  )   ! /   37   ! ! !    + 3 37   377) LM  LM )      B, 3 7  37 $* 2. &    N37     B,3

(91) 7 . . . . I   3GG& -37.7    3GG& -37.7  . LM I 3 7   3 3 77 . 3:7 3 7. LM I. 37. 3 7 . . . . 3 7. .   3 3 77  . .

(92)  L¼  ½ 3

(93) 7    6 3&*!$% G  :  0!         !  !        !    ( )  !  3A 6) ?O5 6@7   H$      - 6.   G )      N3 7. I.

(94) .    

(95) . 0. Group delay (ms). 0.2. x(n). 0.1 0 −0.1. (a) Original. −0.2 −0.3 −0.4 −0.5. −0.2 0.2. 1. 0. 1. 0. 1. 0. w (n). 0. 0 1.0. −0.1. (b) H −filtered 0. −0.2. Group delay (ms). 0. 0.1. 1. −0.2 −0.3 −0.4 −0.5. (f) Δ Φ1. Frame #4. 0. 1. 0. 1. 0. 1. Group delay (ms). 0. 0. 0.1 0 1.0. −0.1. (c) H −filtered 1. −0.2 0.2. φ(ω) arg H0(ω). −0.1 −0.2 −0.3 −0.4. (g) Δ Φ0. −0.5. Frame #5. 0. 0. 0. 1. 0. 1. 0. 1. 0. Group delay (ms). 1 0.1 0 −0.1. (d) Watermarked −0.2. φ(ω) arg H (ω). 0. 1. 1. Frame #4. −0.1. 0.2. w (n). (e) Δ Φ0. 0. 1. y(n). φ(ω) arg H0(ω). −0.1. 0. #4. 0.5. #5 1. 1.5. φ(ω) arg H1(ω). −0.1 −0.2 −0.3 −0.4. (h) Δ Φ1. −0.5 0. 2. Frame #5. 1000. 2000. 3000. 4000. 5000. Frequency (Hz). Time (s).   B0!         ! !. ; 37    37) 3 7  37+    37) 37  37 +    37)  37   %  37 # 37  37    LM  LM  B, 3 7  37    P5 # 37  37        P6 . . . . . .      ) 37)    G  :37  !  ,"  55 %(2   &    0!    ;  ) 37) ?

(96) 

(97) 

(98) 

(99) @ 3. !   +     ?Q

(100) @7     &  )  )    5 ! &)    ) L )  6

(101)           & ! + )  37  ?

(102) @   37  ?@)   !!     37   37)    G  :3 7  :37 ( )        "    %      % )   ?@  ?

(103) @  ?

(104) @  ?@ &   !  G  :3 7  :37 "     G")   %  37     "       + )  37   37        /   37  37)           !   !"    37     )   N37  "   "  B,3

(105) 7)    G  :37  :37  :37  :37    P5) N357  "      ?

(106) @ "  LM  LM )  N367       ?@ "  LM  LM    P6. . . . . . . . . . .

(107) 

(108)          . 4 4&$$ $(% + 4*%$ $) H ! !       %    !      "    &        % ")       !    )         " +    + ! . 37 4 $$& + & $ + %$  #!$% &  I

(109) :6  B,3 7        !  "     !2      

(110)  " > ")  37    !    3 7 I. .  J     .  . . 37. .            3)  I

(111) :67 H  I 

(112) )   ! "   +        "    G   ( )   "             "   !       !   +     "  +        ! "  /  ,    ") )       B,37 & +  0         )     "            %  "   1   1 )    I

(113) :6  +0  B,37 &          1   1 ; 37  !     !   ) 37    3A 4) ?@7  37  !  3A 6) ?O5 6@7   H$     - 6.  !  ,"  55 %(2   &    +     ! +  B,37           3   

(114) 7 &      +.        !   !        !    ! "  !  H .     1 0!  3 7    0      !           %  G "   1      ! !   0!  & R=        3 G$7   # !   ,      ?R@         =   0! )      4         6

(115)

(116)  &"      .   G  37S37            &     6

(117) T)   :6T         "  .             .      

(118) 3"    

(119)   

(120)     !     

(121)    

(122) .  ! "  !7 &       1  !          %  H  .     1 0!  37    ! !    ," 3#BU7 - 9) :.   !    3<*7          & #BU  )  " &Q =*4 :)     !   1 /    3C>7)  . !    1 /    3*>7      !       1 ," & C>     

(123) 3! ! 7)  3! !    "7)  3" "7) 4 3"7)  5 3 " "7 &     #BU - 9.      C>    & <*   .

(124) .    

(125) . Correct rate (%). 100 75 50 25. (a) Pulse train 0. Correct rate (%). 100 75 50 25. (b) Female vocal 0. Correct rate (%). 100 75 50 25. (c) Piano recital 0 −2 0.5. −1. −0.5. −0.1 0 0.1. 0.5. 1. 2. PEAQ. 0 −0.5 −1. LSD (dB). −1.5 2. (d) Pulse train Female vocals Piano recital. 1.5 1 0.5 0 −2. (e) −1.5. −1. −0.5. 0. 0.5. 1. 1.5. 2. Delay unit of IIR filter (cochlear delay).  .    1   1          %    !   " * 1    "   3.  7 37 !  ) 3 7  )  37 !  C 1   37  "   ! !    ," 3#BU7  37   1    !    3<*7     .        " 

(126).  !7 <* I  

(127)  "33  3=7 3 7  !7.   !     0)        )  " 3 !7  3 !7    G  ! !      37    %  37      6   9

(128) T  ! 36 7        . . . .

(129) 

(130)          . . 0.796 0.797. Parameter b1. 0.798 0.799 0.800 0.801 0.802 0.803 0.804 0.805 40. 50. 60. 70. 80. 90. 100. Bit detection rate (%).  . !     !     )    I

(131) :6 . . G  37  37   #BU  <*         &     ) )     )   ) ) 4) 5) 6) 9) :) ) ) 

(132) ) 6) 

(133) 3 "  . ! 

(134) )

(135)  )

(136) 4)

(137) 5)

(138) 6)

(139) 9)

(140) :)

(141)  )

(142) ) 

(143) ) 6)  

(144) 7     ! )  ) 6) 

(145) ) 6) 

(146) 3"  . !  

(147) ) 

(148) 6) 

(149) ) 6)   

(150) 7   !  !   #BU                <*     = &  )    G  3737       "  1                 %      !  )   ! +     %      %      )    . 3"  

(151)  "   7 &)

(152) :6             !!  4  $$& + *&! *&$$             !       !         )    "   "  &  )           N37   "       %  37    H  .          + !  )     &          I

(153) :9)

(154) ::)

(155) : )    ) 

(156) 

(157) 6    +0 

(158) :6 3! 7   

(159)  %   H$     - 6.            &    %   55 %(2 !  ,")  9 )     3 7        %                        %  &     G              % ) N3 7)      &    .    . !   . . . . . .

(160) .    

(161) . 100 90. Acceptable correct rate (%). 80 70 60 50 40 30 20 10 0. Female vocals. Piano. Jazz. Rock. Musical genre.   .    1  3 7  ! !  G  3G ) #) 22)  % 7     G$ !               1 6

(162) T &    :6T       !       .             H        /    

(163) 

(164)

(165) 4      ,  .   !      !    3 :6T7 G  .   !  " 0!      "! %    . !) ,2)   ! ) 

(166) 

(167) :/   Æ     !    :6T &)       Æ /    ")    !     I

(168) :6   I

(169)  96   /  

(170) 

(171) :.  

(172) 

(173)

(174) 4 . . . . 5 5! + 4*%$ $) & +      ! !       "                   % ")  0! "   " . "   1   1       1  .     

(175)  %   H$     - 6.            &    %   55%(2 !  ,")  9 )     3 7 & *&B#

(176)

(177)  - .   :  ! 4

(178)    ,                 % &)    I 5 !      &    %      3? *< @7           3 <7  "   ! ! !! .

(179) 

(180)          . . 1. PEAQ. 0 −1 −2 −3 −4. 4. 8. 16. 32. 64. 128 256 512 1024 2048 4096 8192. Bit−rate (bps).  .   ! !    ," 3#BU7 . ! !        3 !7

(181) . 2.5. LSD (dB). 2 1.5 1 0.5 0. 4. 8. 16. 32. 64. 128 256 512 1024 2048 4096 8192. Bit rate (bps).  .    1  3 !   ; <*7  ! !        3 !7 Bit−detection rate (%).

(182) . 100 80 60 40 20. 4. 8. 16. 32. 64. 128 256 512 1024 2048 4096 8192. Bit rate (bps).  .    .      ! !    3 !7.

(183) . 5  6$5$ $5! H .     1 0!  3 7    0      !            %  G "  1      3   1   * 57 ! !   0!  & =R 3 ==R 7  G$   &        3) =)  R7  

(184)         6

(185)

(186)  # !   ,      ?R@        = G  

(187)                    3  3A 47) !  3A 67) 122 " 3A 7)  %.

(188) .    

(189) .  % 3A 7     - 6.7       6

(190) T) :6T         "          &.         1  !          %  *         H  - . 5   6$5$ $5! H 0 .     1 0!  3#BU 7    0       1" !           %  & #BU     3 ) !) 122)  % !7   0!  . ! 

(191) 4)

(192) 

(193)

(194) 6)

(195) :) 

(196)   &  )           1  !          %  &)    )    #BU       

(197)  %   H$     - 6.       &     0!    5) ) 9) 4 ) 95)  ) 69) 6 ) 

(198) 5)

(199) 5 ) 5

(200) 9)                "   " ,  37   #BU   0!  G       C>   #BU    * 5      %  &       C>   .           C> & #BU        3 7         5  6 !   #BU    ".          ! <*             %     )       !        #BU G       <*  B,3 7     %  &    . .              <*   <* 3  =7  "     ,"   "2    !  )       =     0!     !!  H    <*          "           ()       ! !      69          %       "   " ,  37     *  &           ! !   69 !    54 5! + $$ H .           ! !    "          %   &               )       :6T            .    0!  G  4 !          %  &             3 :6T7     )  )    5  

(201) 5 ! &     ! !    I 

(202) 5 !         %      %   "  +" ,  3 7 55 5! +  %$%% H .     +         ! !    "   "          %   &     3

(203)  %7       =     *&B#

(204)

(205) )   !    ; 37  ! 355 %(2 

(206) %(2) 9 %(2)  %(27) 37 ! ! 39   5  0    ! 7)  37  !  3!4;  % !) 9 % !)  95% ! 7 ( ) 95% !    % ! ! .

(207) 

(208)          . . No processing Resampling at 20 kHz Resampling at 16 kHz Resampling at 8 kHz Bit extention of 24 bits Bit compression of 8 bits mp3 at 128 kbps mp3 at 96 kbps mp3 at 64−kbps mono 40. 50. 60. 70. 80. 90. 100. Bit−detection rate (%).  .    1  3   7  ! !  &    3!) ,2)   ! 7   .              H !   +   37 "      !4!  +   +  !  G  5      )       .    . !            &     ! !   4T       ! 3 7   )        !  3 !   55 %(2  %(2) ! !    9   )   !   9 % !7 . !  9:T) 5T)  :4T <           "                   1  :

(209) T   

(210) 5) 6 ) 6 ) 4

(211) ) 6 ) 6 )  )  )  9

(212) ! . !   ! ) ! 

(213) %(2) !  9 %(2) !  %(2)  0 3 5 7)  !  3 7) !4 3 % !7) !4 39 % !7)  !4 395% ! 7 ()      ! ! !!    "   "   % !"       . 6 $" $)!("7 &*5$ 5!%7  %%%    &  )            %   !    !  )   B$(C  ##8 &       !     ! ! !!  G  6      %" "     %  &  !!    " 3#  # 7 . !    3?

(214) @  ?@7     % ) 37) "   ! !)    G  637 & ! !      ! 3  !     "7    F 3  ! $   " 3#  # 77 . . . .

(215)    

(216) . Echo characteristics "1" -> T1. "0" -> T0. Frequency (Hz). (b) Periodical phase modulation method Group delay (ms). Group delay (ms). (a) Echo hiding method. "1" -> Fm1 "0" -> Fm0. (c) Proposed method Group delay (ms). . Periodic. Cochlea-delay characteristics "1" -> b1. "0" -> b0. Frequency (Hz). Frequency (Hz).   *  %" "; 37  ) 3 7 !  ! )  37  "   . *   ," !   "     " 3#  # 7)   !     /     "     "  ( )  "   " "   "  .    "  !   !  &  )     , % +" 3 ,  3 77 ( )  ##8 !!  ! "      ! "     !        ,"  3  

(217) %(2)   " A   *2% -:.7)    G  63 7   3?

(218) @  ?@7   ,      !    3  ," %  %.  ! 7     % ) 37 =  . !   !"  0! )   !   ," ! !  "       ,"   "  3 

(219) (27 ( )  !%     !   !     ," ! ) !"     ,)  %  !   !  ! !   !    ,    ! 3   7 "       "  &  )      , " /     !        " 3 ,  377 &    %      ! "       %     " ! !     * )  "          G  637   3?

(220) @  ?@7       ! !  . !    "     3     ;    37     377     % ) 37             %   !  !  3 "   7  /   ##8) !   ! "    "    )    G  63 7  637 =     !"  - ) 4.   0! )   !   "     %    "    !       "    G       * 5)     ! ! , +    ,    ") +")    &   +     , H 0 .       3#BU) <*) )   7     ! !    !!   ! "  . "!   %  3<*=) **) B$(C)  ##87   ! !  & 0!                 <*=) **) B$(C)  ##8   ! !" "           -9) . . . . . . . . .

(221) 

(222)           1. Proposed LSB DSS ECHO PPM. (a). 0. PEAQ. . −1 −2 −3 −4. 4. 8. 16. 32. 64. 128 256 512 1024 2048 4096 8192. 2. Proposed LSB DSS ECHO PPM. LSD (dB). (b) 1.5 1 0.5 0. Bit−detection rate (%). 4. 8. 16. 32. 64. 128 256 512 1024 2048 4096 8192 Proposed LSB DSS ECHO PPM. 100 80 60. (c) 40. 4. 8. 16. 32. 64. 128 256 512 1024 2048 4096 8192. Bit rate (bps).  .   !  ; 37 #BU) 3 7 <*)  37     +  3 ) <*=) **) B$(C)  ##8 7       3 !7      1  3   7   +  &     3!) ,2)   ! 7   .       +0  5 !

(223) . 8+ A !  ! 

(224) %(2 !  9 %(2 !  %(2 = 0  5  = !    !4   % ! !4  9 % ! !4  95% ! . <*= 

(225)

(226) 

(227)

(228) 6: 69:9 654 

(229)

(230) 

(231)

(232) 6

(233)

(234) 6

(235) 5 5:9 6

(236) . ** 

(237)

(238) 

(239)

(240) 

(241) 

(242)  44 

(243)  

(244) 

(245) 

(246) 

(247) . B$(C 9: 5 6 445 

(248) 9 9: 69 65 56 594. ##8 # ! 59 4 6 6  6:

(249) 

(250)  64

(251) 6 9 59 4 6596 5  6 49 

(252) 94 6:65 :44 6:

(253) 6 

(254). & !      **     5     .   ," 

(255) (2   %"  !  ,  4:5    & "    ) #  # )   4  45    B$(C  &  !       $ I

(256) 9 & %  %  ##8      

(257) (2 ( ) . . . .

(258) .    

(259) .    <*=) **)  B$(C   !        ##8  !     3!   "     )  ! !  -:.7 )           "    5   )           "    !       ) ) 95 !  **   ! . B$(C  ##8 G  9 !    !   3#BU) <*)  . 7 &           !          &     3#BU  ) <*   =)    :6T7          * 5    &  )    <*=     %       %    "  "  +" ,  37  3 7 H    **  B$(C  "   37)  **     %  37  "  B$(C  3 7 +"           ##8)    !     "        % ( )  "        ##8  ! "  9 !% H ! !          %    "      1        1   !        %    " /      %  C 1    ! ! !!        1      "   #BU     <*     %  &          3 !7 "       ! 3         !47 &   Æ     !   !"  !    " *&B#

(260)

(261)  - .     E.        ! "   "        !"      %  )  !            !) ! ! )   !  H  ! "   ! !       3<*=) **) B$(C)  ##87 &     ! ! !!   !    "  !  !"  C 0 !     %)   37             %       "  " *   -4

(262) .) 3 7 0        ")  347   ! "  0             "  ,    ") +")    $       ,   .  .      !   %   "   %     !    ! !   !      .   !     % "  !  !" . ',!$(&$% &  %  !!  "  >   *+   3A 96

(263)

(264) 467    "  8 "  B) $ ) *! ) *)  &") !.  12 3,. , 4, 4 # ., ,. !#  ! , 0, 5.    !% 6. #"& &. '''. +    & 

(265) 1   " ,7  ,7 , 8

(266)  7 , 1

(267) 2 , , % $, 9 :, 3, % ! , $, 9 ."#  ! !% # #   ! ;&    ! <-. = !. ,>8 

(268) 7,.    

(269).     . 

(270)     " ,  ,>.

(271) 

(272)          . . 12 $,?,  $,?, ?% 0, ? % ! ,, %    ('% #!  "# #  #% .    

(273)      

(274)     " ,  ,. , >

(275) 8

(276) , 12 ,,  ! -,, 5  -$#! @    "#  % ('%   .    

(277)      

(278)     " ,  , ,

(279) 8 8

(280) , 1>2 ,, 9  ,, 4 ! A,:, 9 . ?B#! (' !  .    

(281).   .   

(282)     " ,>  ,

(283)  ,

(284)  

(285) , 182 , "+ ! $, C  , (  # 2    . ! 0 .  , < 0 =

(286) 7,. .1 +    " ,>. 172 D, A! -, 0  ! ,     $ E#   ! !%  #,F ,8 8, 12. , #.    !%  ! #% #G -% ('% ! #% %& . (  +  " ,8  , ,88 887

(287) 7 < #=, 12 D,. (' ! 5, # H!!%  ;  ! !# !. -4 E@ . &+ . " ,  ,  ,

(288) >

(289) 8 7, 1 2 ,. ! ;#   E   0,7 #  #% #% %& ' '   . '. " ,HA  ,8 ,8

(290) 8, 12 9, A & ?, ?, $(/' ! 5, , ?!& -% ('#   ! #% # &. 1+. ,7  8, 1

(291) 2 -, 0 . , 9 ! D, A! H  !% &. 

(292)  / 3 # ,

(293) >>. 8, 12 ?, $'# ., # ! :, @' $#!   !% ! ('%      #% (  + 4  " ,

(294) 8  ,8 ,> >

(295) 

(296) >, 12. , '& , 9 , ' ! 5, '  -% ('#   ! #% #!  #&   # #'%  ! . ' ' " ,-   , ,

(297)

(298) >>

(299)

(300) 8

(301) < # (. H% # # =, 1>2. , # ! 5, " ,7. 182. '( -% ('   ! #% # #!  " # & ' '.   ,8 ,7778

(302)  < # ( H% # # =,. , #. ! ('% #!  ## !  !  !   &. '''. . 

(303)  (  +  + & " , ,77 

(304) 8, ! (' #!   !  # #  (  + . 172 ., # ! :, @' " ,8   ,> ,

(305) 8

(306) 7

(307) 

(308) , 12. , $'# ., # ! :, @'    ('#   # ! #% # #% # !    E#. '''  + & " ,>  ,

(309)  , 8>

(310) >,. 12 , , 4  '  + 

(311) / 9(  H  1

(312) 2 ,. ##   9 ! 

(313) >,. '% ! 5, :#' 4     !   G.  .  

(314). I   # "  . ' ' " , H  ,>

(315)

(316)   < # ( H% #. # =, 1

(317) 2 $, - B, D% , .  ! A, 5. . ! & # # ## <. A.= (. @!  #% # #% #   !##   (  + ( " , 7 ,> > 

(318) , 1

(319)

(320) 2 H,.  ! , $#@' 4  +!%  #&  @   (  ;  #G .  .     ! &# (  + 4  " ,

(321)   ,> ,>7>

(322) 7, 1

(323) 2 H,.  , $#@' , $' ! , J ' !%    #&  & ( (.  ## ! #        ! &#  & .  " ,>   , ,

(324) 

(325) .

(326) , 1

(327) 2 H, ! A . ! & &# # &#    #  %  & , &.  " ,8

(328)  ,7. 7  , 1

(329) >2 , 0   ?, ?#%  $, # ! ., B' .D # !#G # % !# ! #  # # ! !# & 1

(330) 82 4, 5 . +1.  ;  !   . E & +& * . 566- ,

(331)

(332) 

(333)  

(334) ,. $J. A,7G 4  "    !.  -, H    K   H%%  0. J"#&.

(335)

(336) , 1

(337) 72 :, 9 ! D, ?, ## &. !.  4  "    ! ('% #% + " E &.  

(338)  (  +  + & ,7>7

(339) ,. 1

(340) 2 $H4

(341) , (#  #. 7 +  

(342)     8  + 

(343) ,.  (  # #  &   .%#  GFF(((,+# , ,+F+F #F

(344) F 8

(345) , ,.  #.   ## ! 4 ##,.

(346) .    

(347) . 1

(348) 2 GFF(((,+#, ,+FL 'FD'

参照

関連したドキュメント

A lemma of considerable generality is proved from which one can obtain inequali- ties of Popoviciu’s type involving norms in a Banach space and Gram determinants.. Key words

In [9], it was shown that under diffusive scaling, the random set of coalescing random walk paths with one walker starting from every point on the space-time lattice Z × Z converges

Moreover, it is important to note that the spinodal decomposition and the subsequent coarsening process are not only accelerated by temperature (as, in general, diffusion always is)

de la CAL, Using stochastic processes for studying Bernstein-type operators, Proceedings of the Second International Conference in Functional Analysis and Approximation The-

Shen, “A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients,” Computers

[3] JI-CHANG KUANG, Applied Inequalities, 2nd edition, Hunan Education Press, Changsha, China, 1993J. FINK, Classical and New Inequalities in Analysis, Kluwer Academic

Here we shall supply proofs for the estimates of some relevant arithmetic functions that are well-known in the number field case but not necessarily so in our function field case..

A connection with partially asymmetric exclusion process (PASEP) Type B Permutation tableaux defined by Lam and Williams.. 4