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12                                   Chapter 2.  Video Coding:  Fundamentals


            calculate the luminance=chrominance components from the RGB components.
            For  example,  the  PAL  system  calculates  the  luminance=chrominance  compo-
            nents  as  follows:



                    Y  =+0:299R +0:587G +0:114B ;






                    U  = −0:147R − 0:289G +0:436B =0:493(B − Y  );       (2.1)






                    V  =+0:615R − 0:515G − 0:100B =0:877(R − Y  );

            where R G B are gamma-corrected  components in the range [0; 1]. Note that

                                          8


            Y  is closely related to gamma-corrected luminance and is usually referred to
            as  luma.  The  chrominance  is  calculated  as  two  color-di)erence  components


            U  and  V  .  Again,  since  they  are  gamma-corrected,  they  are  referred  to  as
            chroma  components.  The  NTSC  and  SECAM  systems  calculate  luma  in  the
            same  way  but  use  di6erent  coeGcients  for  obtaining  the  chroma  components




            (I  and Q in NTSC, and  D and D in SECAM).
                                          R
                                    B
            2.3.3  Analog Video Systems
            There  are  three  main  analog  video  systems.  In  most  of  Western  Europe,  a
            625=50  PAL  system  is  used.  In  Russia,  France,  the  Middle  East,  and  Eastern
            Europe,  a  625=50  SECAM  system  is  used.  In  North  America  and  Japan,  a
            525=60  NTSC  system  is  used.  All  three  systems  are  interlaced  with  a  4:3
            aspect ratio.
               The three systems are composite. This means that the chroma components
            are   rst  bandlimited  and  then  combined  (for  example,  by  frequency  inter-
            leaving)  with  the  luma  component.  The  resulting  composite  video  signal  has
            the  same  bandwidth  as  the  original  luma  signal.  For  example,  in  the  625=50
            PAL  system,  the  luma  signal  has  a  bandwidth  of  5:5MHz.  The  chroma  sig-
            nals  are  bandlimited  to  about  1:5MHz  and  then  QAM  (quadrature  amplitude
            modulation) modulated with a color subcarrier at 4:43 MHz above the picture
            carrier. For a more detailed discussion of these systems the reader is referred
            to  Ref.  13.  There  are  also  other  analog  video  systems  that  use  separate  com-
            ponents  (component  video)  or  a  separate  luma  component  and  a  composite
            chroma component (S-video)  [10].
              8 In a video system, it is important to convey luminance in such a way that noise and quantiza-
            tion have a perceptually similar e6ect across the entire scale from black to white. This is achieved
            by  applying  a  nonlinear  function  to  each  of  the  linear  RGB  components.  This  process  is  known
            as gamma-correction  [12].
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