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The aim of the fixed-point conversion is to determine the number of bits for each part and for each datum.
Trace 4 shows the mean square distortion (MSD) obtained in the reconstructed modulus of h s n, E h s n - h ̃ s n 2. It is important to note that h ̃ s n has been obtained after a Gaussian quantization of the real and imaginary parts of h sn using B bits for each part.
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For each datum, the number of bits for the integer part is determined and the fractional part word-length is optimized.
For different modulation types, the quantization values are shown in Table 1 in signed two's complement representation using the notation Q[I].[F] where [I] and [F] designate the number of bits for integer part and fractional part, respectively.
Actually, the number of quantization bits is 2m, since we need m bits for the real part and m bits for the imaginary part, according to (5).
We performed all simulations using 7-bit fixed-point precision, with 4 bits for the integer part and 3 bits for the fractional part.
The operation of the frame layer adaptive rate control algorithm in H.264/AVC is composed of three parts: determining the target bits for each P-frame, computing the QP and adjusting the QP.
The PSNR remains almost constant with precision down to 22 bits (with only 7 bits for the fractional part), and it remains quite high even at 19 bits (4 bits for the fractional part).
The width of the variables is 16 bits including three bits for the fractional part.
The number of bits for this fractional part defines the computational accuracy.
In this example, it is considered that the fixed-point values are represented with 2 bits for the integer part and 6 bits for the fractional one.
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CEO of Professional Science Editing for Scientists @ prosciediting.com