Optimal sub-band coder design is considered based on Shannon's bounds for the rate of a continuous source with a given spectral density. Minimization of these bounds with respect to band partitioning and rate per band is considered. For fixed sub-band bandwidths, the optimum rate allocation for each band is derived. The resulting expressions can be solved in real-time to yield a dynamic rate allocution scheme.
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Jerry D. Gibson (2005) studied this question.
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