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With a simple model for quantization error, it is shown that a normalized frame minimizes mean-squared error if and only if it is tight.
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To solve this problem for Gaussian sources, we propose an efficient tree-search algorithm, which can be used to find the a good SP-DTC under different models for quantization of transform coefficients.
However, the following theorem establishes that when CKLT is used and RD-WZQ model applies for quantization of coefficients, a linear transformation of the side-information vector can be used to convert the vector side-information problem into an equivalent scalar side-information problem.
Later, Dirac's procedure became a model for the quantization of other fields as well.
The solution of this problem requires an analytical model for coefficient quantization.
A common model for signal quantization has been proposed by Widrow in [17] and refined in [18].
This is due to the aforementioned amplification of the Taylor error terms and also to the fact that the uniformly distributed model for the quantization noise does not remain valid for small SQNRs.
We compare the performance of our SP-DKLT code designs with IKLT codes for which the bit-allocations are obtained by using either entropy coded high-rate quantization model (for scalar quantizer design) [[4], Section 9.9] or RD-optimal quantization model (for block quantizer design) [[16], Section 10.3.3] for Gaussian variables.
Also, the improvement of the quantization model for nonlinear operations is perceived as an interesting research line.
A limited feedback scheme is also studied based on the channel quantization model for the proposed IA algorithm.
The practical relevance of the additive-noise quantization model for system design is further validated in Section 4 by means of numerical results.
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