Explicit dimension-dependent upper bounds on logarithmic codebook size for high-dimensional signal compression are obtained by refining Landau's lattice point estimates via uniform Bessel bounds and Abel summation.
ε-entropy andε-capacity of sets in function spaces
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High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
Explicit dimension-dependent upper bounds on logarithmic codebook size for high-dimensional signal compression are obtained by refining Landau's lattice point estimates via uniform Bessel bounds and Abel summation.