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Scalar Quantizer

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Definition
InfoTheory

An NN-point scalar quantizer is a mapping Q:RCQ:\mathbb{R}\to \mathcal{C}where C={y1,,yN}R\mathcal{C}=\{ y_{1},\dots,y_{N} \}\subset \mathbb{R} is the codebook and each yi, i=1,,Ny_{i}, \ i=1,\dots,N is called a reproduction point.

Note

We always assume indexing s.t. y1<<yNy_{1}<\dots<y_{N}

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