Let's assume the RGB -> YUV conversion.
So, the Section 37.4.9.5 says that the main operation in the color space conversion procedure is the multiplication of the 3x3 color conversion coefficients matrix to the input pixel that is represented as (R G B) 3-dimensional vector and following addition of 3-dimensional vector of offsets.
So, the meanings of the formula components are as follows.
i and j are the summing indexes that vary e.g. from 1 to 3.
A[i][j] are the color conversion coefficients, so, the matrix looks as follows.
A[1][1] = CSC_A0 A[1][2] = CSC_A1 A[1][3] = CSC_A2
A[2][1] = CSC_A3 A[2][2] = CSC_A4 A[2][3] = CSC_A5
A[3][1] = CSC_A6 A[3][2] = CSC_A7 A[3][3] = CSC_A8
As the Section 37.4.9.5 says, each CSC_Ax coefficient is 10-bit signed number with 8 fractional digits.
In[j] are the components of input pixel, here In[1] is R component, In[2] is G component and In[3] is B component. Each component is 8-bit unsigned integer value.
B[i] are the components of offset vector, here B[1] = CSC_B0, B[2] = CSC_B1 and B[3] = CSC_B2.
As the Section 37.4.9.5 says, each CSC_Bx coefficient is 14-bit signed number with 2 fractional
digits.
E[i] are the components of scale factors vector, here E[1] = CSC_S0, E[2] = CSC_S1 and E[3] = CSC_S2. Each scale factor can take the values of 0, 1, 2 or -1 and is encoded by 2 bits.
S[i] are the components of intermediate sum vector.
Out[i] are the components of the output pixel. Assuming RGB -> YUV conversion, Out[1] is Y component, Out[2] is U component and Out[3] is V component.
Clip() operation means clipping the argument to 8-bit unsigned integer value.
>> and << operations mean right and left bit shifting operations, correspondingly, to the specified number of bits.
Have a great day,
Artur
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