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Comparator

Logic

The Comparator block compares an input signal to a threshold and outputs a binary result: 1 (true) if the comparison is satisfied, 0 (false) otherwise. Essential for threshold detection, crossing detection, and generating boolean control signals.

Mathematical Model

y = \begin{cases} 1, & \text{if } u \text{ op } \text{threshold} \\ 0, & \text{otherwise} \end{cases} \\ \text{op} \in \{ \ge, >, \le, <, =, \neq \}

Inputs & Outputs

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

Parameters

Parameters	Label	Type	Default
`operator`	Operator	select	`>=`
`threshold`	Threshold	number	`0`
`trueResultMode`	True Output	select	`constant`
`trueValue`	True Constant	number	`1`
`falseResultMode`	False Output	select	`constant`
`falseValue`	False Constant	number	`0`

Usage Examples

Threshold Crossing Detection (1 second)

Ramp signal (0→5) compared against threshold=2.5. Output is 0 until signal crosses threshold at t=0.5s, then becomes 1.

Hysteresis Implementation

Compare high and low thresholds to create switching with hysteresis.

Remarks & Best Practices

Binary Output: Always 0 or 1, ideal for logic circuits
Instantaneous: No delay, combinatorial block
Floating Point: Equality uses tolerance (1e-9) for robust comparisons
Threshold Detection: Common in alarm and control systems
Selector Input: Can drive Switch block for conditional routing

Related Components

Switch: Routes signals based on Comparator output
Gain: Scale signal before comparison
Subtraction: Compute error for threshold
Step: Generate selector signal manually