Page 45 - Video Coding for Mobile Communications Efficiency, Complexity, and Resilience
P. 45

22                                   Chapter 2.  Video Coding:  Fundamentals



                        N  : number of output symbols   output,  s  ·
                          s  max  −
                        θ  =  s min
                           N              3  θ
                        d  i  =  s min   i + θ  ,  0 ≤ i ≤  N
                            θ
                        r  i  =  d i + ,  1 ≤ i ≤  N  θ
                          −  1
                            2             2
                                          θ
                         reconstruction levels,  i r
                                                    step size,  θ
                                                               input, s
                                           0
                         −  7θ  −  5θ  −  3θ  −  θ  θ   3θ   5θ   7θ
                     s
                      min  2   2    2    2     2    2    2    2   s max
                                          −  θ
                                                    decision levels,  d  i
                                         −  2 θ

                                         −  3 θ



                                      (a) Without dead zone


                                       .   7θ
                                   output, s
                                          2
                                         5θ
                                          2
                                         3θ
                                          2

                                                       step size,θ
                                          dead zone
                       −  4 θ   −  3 θ   −  2 θ   − θ  θ   2  θ   3  θ   4 θ
                                                                input, s
                                         −  3θ
                                          2
                                         −  5θ
                                          2
                                          7θ
                                         −
                                          2
                                       (b) With dead zone
                               Figure 2.5:  Uniform threshold quantizers
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