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Scalar Quantizer

Definition (Scalar Quantizer)

An NN-point scalar quantizer is a mapping Q:R→CQ:\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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