Definition:Triangle Wave

Definition

A triangle wave is a periodic real function $T: \R \to \R$ defined as follows:

$\forall x \in \R: \map T x = \begin {cases}

\size x & : x \in \closedint {-\lambda} \lambda \\ \map T {x + 2 \lambda} & : x < -\lambda \\ \map T {x - 2 \lambda} & : x > +\lambda \end {cases}$

where:

$\lambda$ is a given real constant

$\size x$ denotes the absolute value of $x$.

Graph of Triangle Wave

The graph of $T$ is given below:

Also see

• Definition:Square Wave
• Definition:Sawtooth Wave

• Results about triangle waves can be found here.