Math

Gain Block

Multiplies input signal by a constant gain factor

# Gain Block

Description

The Gain block multiplies its input signal by a constant gain factor (K). This is one of the most fundamental and commonly used blocks in signal processing and control systems. It provides simple scaling of signals without changing their fundamental characteristics.

The block has one input port and one output port, making it straightforward to integrate into signal chains. Common applications include proportional gain in controllers, signal amplification, and unit conversion.

Mathematical Model

The Gain block implements a simple multiplication operation:

output(t) = K × input(t)

Where:

output(t) is the output signal at time t
K is the gain factor (configurable parameter)
input(t) is the input signal at time t

Parameters

gain

The multiplication factor applied to the input signal.

Examples

Signal Inversion

Invert a sine wave signal:

SignalGenerator → Gain (gain: -1) → Scope

Signal Amplification

Double the output of a sensor:

Sensor → Gain (gain: 2) → NumericDisplay

Remarks

No Internal State: Pure function with no memory - output depends only on current input.
Linear Operation: Does not introduce distortion or harmonics.
Computation Cost: Minimal - single multiplication operation per simulation step.
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