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If the quantized range defined by the threshold is used for quantization, then the ERR and EAR obtained using this method will have no impact.

Here, Q is only used for quantization; the actual precoder F i is computed from the quantized channel directions.

As shown, a lower resolution codebook is used for quantization of upper LSFs due to the lower sensitivity of the human auditory system (HAS) to higher frequencies.

If the quantitative range set by the threshold is used for quantization, then the ERR and EAR will not change with the application of this method.

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Table 2 The bit allocation used for embedded quantization at different rates.

This developed and proposed method was then validated in terms of accuracy, precision, linearity and robustness which can be successfully used for the quantization of zinc in insulin.

The main difference are the second moment of the shaping lattice used for the quantization, (sigma ^{2}(Lambda _{Q})= 1+D+frac {g^{2}(K-1)P+g^{ K-1 P+1}((K-1)P+1)}{ K-1 P+1}).

The new schemes outperform in terms of SNR other lattice quantization structures presented in the literature in the case of generalized Gaussian source densities with decay parameters 0.5, 1 and 2. In addition, when used for LSF quantization they can achieve a mean spectral distortion below 1 dB at only 19 bits, being superior to the G.729 speech coder.

* Fold changes are used for expression quantization; plus and minus indicate down- and up-regulations.

We would like to acknowledge Dr. Robert H. Shoemaker and Karen Hite for kindly sharing the GelCount Scanner used for the quantization of PSs.

In DPCM, the quantizer is in a feedback loop, which means that the input to the quantizer is not conveniently available in a form that can be used for forward adaptive quantization.

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