Gain

Math

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:

y(t) = K \cdot u(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

Inputs & Outputs

Direction	ID	Label	Type	Status
→ In	`in`	Input	number	Required
← Out	`out`	Output	number	Output

Parameters

Parameters	Label	Type	Default	Description
`gain`	Gain (K)	number	`1`	Multiplication factor for the input signal

Usage 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 & Best Practices

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.
WASM Powered: Near-native execution speed in the browser.

Related Components

Sum: Add multiple signals together
Constant: Provide fixed values for gain scaling
NumericDisplay: View the result in real-time