Signal Processing - September 2016 - 169

After the value of R LPS is obtained, the
renewed lower bound is updated. Then
the renormalization process is carried
out to guarantee that the most significant bit of the updated range value is
always one. After one bin is encoded
by the arithmetic coder, the estimated probability of the chosen context
should also be updated. Actually, the
probability of each context model is initialized to be 0.5 for both MPS and LPS
at the start of coding. With the coding
of some bins, the adaptive probability
estimation of MPS on the logarithm
domain is performed. The probability
estimation is fulfilled using only additions/subtractions and shifts, as in the
following formulas:
Z LogP
MPS = Log MPS + Log f,
]
]
if (LPS happens)
, (11)
[
] LogPMPS = + (PMPS >> cw),
]
if (MPS happens)
\
-cw

where f is equal to ^1 - 2 h . Here, cw
is the size of the sliding widow to control the speed of probability adaptation,
and it is constant.
In summary, the arithmetic coder in
IVC replaces the traditional multiplications for range updating and probability
estimation updating with additions by
combining the original domain and the
logarithmic domain. Refer to [14] for
detailed explanations.

Loop filtering
An expired patent deblocking filter
[15] is utilized to process all 8 # 8
block edges of a picture to reduce the
blocking artifact, except the edges at
the boundary of the picture, as shown
in Figure 9. This filtering process
is performed on a macroblock basis
after the completion of the picturereconstruction process prior to the
deblocking filter process for the entire
decoded picture, with all macroblocks

p3 p2 p1 p0 q0 q1 q2 q3

Figure 9. The horizontal or vertical edge sample

of an 8 # 8 block.

in a picture processed in order of increasing macroblock addresses. The
deblocking filter process is invoked for
the luma and chroma components separately. For each macroblock, the vertical edges are filtered first, from left
to right, and then the horizontal edges
are filtered from top to bottom. Sample
values above and to the left of the current macroblock that may have already
been modified by the deblocking filter
process operation on previous macroblocks shall be used as input to the
deblocking filter process on the current
macroblock and may be further modified during the filtering of the current
macroblock. Sample values modified
during the filtering of the vertical edges
are used as input for the filtering of the
horizontal edges for the same macroblock. If the level differences between
the two border pixels in the same block
and between the two border pixels in
different adjacent blocks meet certain
conditions, the edge is filtered. Here,
the edge is defined as edges between
all 8 # 8 blocks inside the macroblock
and the upper and left edges of the current macroblock. There are three kinds
of filtering methods: strong loop filtering, normal loop filtering, and weak
loop filtering.
The conditions of loop filtering are:
■ abs ^ p0 - p1 h < b && abs ^ q0 - q1 h
 abs ^ p0 - p1 h &&
abs ^q0 - p0h > abs ^q0 - q1h
■ abs ^ q0 - p0 h < a
■ abs ^ p2 - p0 h < b && abs (q2 - q0)



Table of Contents for the Digital Edition of Signal Processing - September 2016

Signal Processing - September 2016 - Cover1
Signal Processing - September 2016 - Cover2
Signal Processing - September 2016 - 1
Signal Processing - September 2016 - 2
Signal Processing - September 2016 - 3
Signal Processing - September 2016 - 4
Signal Processing - September 2016 - 5
Signal Processing - September 2016 - 6
Signal Processing - September 2016 - 7
Signal Processing - September 2016 - 8
Signal Processing - September 2016 - 9
Signal Processing - September 2016 - 10
Signal Processing - September 2016 - 11
Signal Processing - September 2016 - 12
Signal Processing - September 2016 - 13
Signal Processing - September 2016 - 14
Signal Processing - September 2016 - 15
Signal Processing - September 2016 - 16
Signal Processing - September 2016 - 17
Signal Processing - September 2016 - 18
Signal Processing - September 2016 - 19
Signal Processing - September 2016 - 20
Signal Processing - September 2016 - 21
Signal Processing - September 2016 - 22
Signal Processing - September 2016 - 23
Signal Processing - September 2016 - 24
Signal Processing - September 2016 - 25
Signal Processing - September 2016 - 26
Signal Processing - September 2016 - 27
Signal Processing - September 2016 - 28
Signal Processing - September 2016 - 29
Signal Processing - September 2016 - 30
Signal Processing - September 2016 - 31
Signal Processing - September 2016 - 32
Signal Processing - September 2016 - 33
Signal Processing - September 2016 - 34
Signal Processing - September 2016 - 35
Signal Processing - September 2016 - 36
Signal Processing - September 2016 - 37
Signal Processing - September 2016 - 38
Signal Processing - September 2016 - 39
Signal Processing - September 2016 - 40
Signal Processing - September 2016 - 41
Signal Processing - September 2016 - 42
Signal Processing - September 2016 - 43
Signal Processing - September 2016 - 44
Signal Processing - September 2016 - 45
Signal Processing - September 2016 - 46
Signal Processing - September 2016 - 47
Signal Processing - September 2016 - 48
Signal Processing - September 2016 - 49
Signal Processing - September 2016 - 50
Signal Processing - September 2016 - 51
Signal Processing - September 2016 - 52
Signal Processing - September 2016 - 53
Signal Processing - September 2016 - 54
Signal Processing - September 2016 - 55
Signal Processing - September 2016 - 56
Signal Processing - September 2016 - 57
Signal Processing - September 2016 - 58
Signal Processing - September 2016 - 59
Signal Processing - September 2016 - 60
Signal Processing - September 2016 - 61
Signal Processing - September 2016 - 62
Signal Processing - September 2016 - 63
Signal Processing - September 2016 - 64
Signal Processing - September 2016 - 65
Signal Processing - September 2016 - 66
Signal Processing - September 2016 - 67
Signal Processing - September 2016 - 68
Signal Processing - September 2016 - 69
Signal Processing - September 2016 - 70
Signal Processing - September 2016 - 71
Signal Processing - September 2016 - 72
Signal Processing - September 2016 - 73
Signal Processing - September 2016 - 74
Signal Processing - September 2016 - 75
Signal Processing - September 2016 - 76
Signal Processing - September 2016 - 77
Signal Processing - September 2016 - 78
Signal Processing - September 2016 - 79
Signal Processing - September 2016 - 80
Signal Processing - September 2016 - 81
Signal Processing - September 2016 - 82
Signal Processing - September 2016 - 83
Signal Processing - September 2016 - 84
Signal Processing - September 2016 - 85
Signal Processing - September 2016 - 86
Signal Processing - September 2016 - 87
Signal Processing - September 2016 - 88
Signal Processing - September 2016 - 89
Signal Processing - September 2016 - 90
Signal Processing - September 2016 - 91
Signal Processing - September 2016 - 92
Signal Processing - September 2016 - 93
Signal Processing - September 2016 - 94
Signal Processing - September 2016 - 95
Signal Processing - September 2016 - 96
Signal Processing - September 2016 - 97
Signal Processing - September 2016 - 98
Signal Processing - September 2016 - 99
Signal Processing - September 2016 - 100
Signal Processing - September 2016 - 101
Signal Processing - September 2016 - 102
Signal Processing - September 2016 - 103
Signal Processing - September 2016 - 104
Signal Processing - September 2016 - 105
Signal Processing - September 2016 - 106
Signal Processing - September 2016 - 107
Signal Processing - September 2016 - 108
Signal Processing - September 2016 - 109
Signal Processing - September 2016 - 110
Signal Processing - September 2016 - 111
Signal Processing - September 2016 - 112
Signal Processing - September 2016 - 113
Signal Processing - September 2016 - 114
Signal Processing - September 2016 - 115
Signal Processing - September 2016 - 116
Signal Processing - September 2016 - 117
Signal Processing - September 2016 - 118
Signal Processing - September 2016 - 119
Signal Processing - September 2016 - 120
Signal Processing - September 2016 - 121
Signal Processing - September 2016 - 122
Signal Processing - September 2016 - 123
Signal Processing - September 2016 - 124
Signal Processing - September 2016 - 125
Signal Processing - September 2016 - 126
Signal Processing - September 2016 - 127
Signal Processing - September 2016 - 128
Signal Processing - September 2016 - 129
Signal Processing - September 2016 - 130
Signal Processing - September 2016 - 131
Signal Processing - September 2016 - 132
Signal Processing - September 2016 - 133
Signal Processing - September 2016 - 134
Signal Processing - September 2016 - 135
Signal Processing - September 2016 - 136
Signal Processing - September 2016 - 137
Signal Processing - September 2016 - 138
Signal Processing - September 2016 - 139
Signal Processing - September 2016 - 140
Signal Processing - September 2016 - 141
Signal Processing - September 2016 - 142
Signal Processing - September 2016 - 143
Signal Processing - September 2016 - 144
Signal Processing - September 2016 - 145
Signal Processing - September 2016 - 146
Signal Processing - September 2016 - 147
Signal Processing - September 2016 - 148
Signal Processing - September 2016 - 149
Signal Processing - September 2016 - 150
Signal Processing - September 2016 - 151
Signal Processing - September 2016 - 152
Signal Processing - September 2016 - 153
Signal Processing - September 2016 - 154
Signal Processing - September 2016 - 155
Signal Processing - September 2016 - 156
Signal Processing - September 2016 - 157
Signal Processing - September 2016 - 158
Signal Processing - September 2016 - 159
Signal Processing - September 2016 - 160
Signal Processing - September 2016 - 161
Signal Processing - September 2016 - 162
Signal Processing - September 2016 - 163
Signal Processing - September 2016 - 164
Signal Processing - September 2016 - 165
Signal Processing - September 2016 - 166
Signal Processing - September 2016 - 167
Signal Processing - September 2016 - 168
Signal Processing - September 2016 - 169
Signal Processing - September 2016 - 170
Signal Processing - September 2016 - 171
Signal Processing - September 2016 - 172
Signal Processing - September 2016 - 173
Signal Processing - September 2016 - 174
Signal Processing - September 2016 - 175
Signal Processing - September 2016 - 176
Signal Processing - September 2016 - Cover3
Signal Processing - September 2016 - Cover4
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