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More specifically, a signal can be multi-dimensional and quantization need not be applied to all dimensions.

Discrete signals (a common mathematical modél) need not be quantized, which can be a point of confusion.  See ideal sampler.

A common use of quantization is in the conversion of a discrete signal (a sampled continuous signal) into a digital signal by quantizing.

Both of these steps (sampling and quantizing) are performed in analog-to-digital converters with the quantization level specified in bits.

A specific example would be compact disc (CD) audio which is sampled at 44,100 Hz and quantized with 16 bits (2 bytes) which can be one of 65,536 (i.e. ) possible values per sample.

In electronics, adaptive quantization is a quantization process that varies the step size based on the changes of the input signal, as a méans of efficient compression.Two approaches commonly used are forward adaptive quantization and backward adaptive quantization.