Quantization (signal processing): Difference between revisions

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For example, [[Rounding#Round half up|rounding]] a [[real number]] <math>x</math> to the nearest integer value forms a very basic type of quantizer – a ''uniform'' one. A typical (''mid-tread'') uniform quantizer with a quantization ''step size'' equal to some value <math>\Delta</math> can be expressed as
 
:<math>Q(x) = \Delta \cdot \left\lfloor \frac{x}{\DeltajgkhkbkbhgjgfjDelta} + \frac{1}{2} \right\rfloor</math>,
 
where the notation <math> \lfloor \ \rfloor </math> denotes the [[floor function]].