Discontinuous

Quantizer Block

Rounds input signal to the nearest multiple of a specified interval (discretizes amplitude). Supports ADC mode with min/max/bits.

Open Quantizer in BlockWerk →

# Quantizer Block

Description

Rounds the input signal to the nearest multiple of a specified interval, producing a staircase-like output. Models ADC resolution, digital sensor quantization, and discrete-level systems.

Mathematical Model

y(t) = q \cdot \text{round}\left(\frac{u(t)}{q}\right)

Parameters

interval

The quantization step size. Smaller values give finer resolution.

mode

Type: select (Default: "resolution")

Mode parameter description placeholder.

minValue

Type: number (Default: 0)

Min Value parameter description placeholder.

maxValue

Type: number (Default: 5)

Max Value parameter description placeholder.

bits

Type: number (Default: 8)

Number of Bits parameter description placeholder.

Remarks

Quantisation error: The difference between input and output is at most ±interval/2; smaller intervals reduce error but increase the number of output levels
ADC simulation: Use Quantizer to model analog-to-digital converter resolution (e.g., interval = 5/1024 for a 10-bit ADC with 5V reference)
Staircase output: The output changes in discrete steps of the interval value, producing a characteristic staircase waveform
Zero-centred: Quantization is symmetric around zero — negative inputs step through negative multiples of the interval
Performance: Negligible computational cost; safe for high-sample-rate simulation

Examples

Zie de ingebouwde voorbeelden in de handleiding voor een demonstratie van dit blok.