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Discretize input at given interval

  • Quantizer block

Simulink / Discontinuities


The Quantizer block discretizes the input signal using a quantization algorithm. The block uses a round-to-nearest method to map signal values to quantized values at the output that are defined by the Quantization interval. A smooth input signal can take on a stair-step shape after quantization.

This equation mathematically describes the round-to-nearest method:

y = q * round(u/q) 

where y is the quantized output, u is the input, and q is the Quantization interval.


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This example shows how the Quantizer and Saturation blocks are used in the model ex_sldemo_boiler. The ADC subsystem digitizes the input analog voltage by:

  • Multiplying the analog voltage by 256/5 with the Gain block

  • Rounding the value to integer floor with the Quantizer block

  • Limiting the output to a maximum of 255 (the largest unsigned 8-bit integer value) with the Saturation block



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Input signal to the quantization algorithm.

Data Types: single | double
Complex Number Support: Yes


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Output signal composed of discrete values, quantized with a round-to-nearest approach:

y = q * round(u/q) 

where y is the output, u is the input, and q is the Quantization interval.

Data Types: single | double


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Specify the quantization interval used in the algorithm. Quantization levels for the Quantizer block output are integer multiples of the Quantization interval.

Programmatic Use

Block Parameter: QuantizationInterval
Type: character vector
Value: Any real or complex value
Default: '0.5'

The linearization commands in Simulink® software treat this block as a gain in state space. Select this check box to cause the commands to treat the gain as 1. Clear the box to have the commands treat the gain as 0.

Programmatic Use

Block Parameter: LinearizeAsGain
Type: character vector
Value: 'off' | 'on'
Default: 'on'

Specify the time interval between samples. To inherit the sample time, set this parameter to -1. For more information, see Specify Sample Time.


This parameter is visible only if you set it to a value other than -1. To learn more, see Blocks for Which Sample Time Is Not Recommended.

Programmatic Use

Block Parameter: SampleTime
Type: string scalar or character vector
Default: "-1"

Block Characteristics

Data Types

double | single

Direct Feedthrough


Multidimensional Signals


Variable-Size Signals


Zero-Crossing Detection


Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a