Math

Abs Block

Computes the absolute value (magnitude) of the input signal

Description

The Absolute Value block computes the magnitude (absolute value) of the input signal. The output is always non-negative regardless of input sign. This is used for magnitude calculations, error metrics, and signal rectification in control systems and signal processing applications.

Mathematical Model

y(t) = |u(t)| = { u(t),   if u(t) ≥ 0
                 { -u(t),  if u(t) < 0

Parameters

(No parameters - fixed absolute value function)

Examples

Sine wave input produces rectified output with doubled frequency component.

Remarks

Output always ≥ 0 regardless of input sign
Non-differentiable at u = 0 (infinite slope)
Zero computational overhead
Often cascaded with filters for magnitude tracking
Commonly combined with Product or SquareRoot for norm calculations