Definition:Square Wave/Graph

From ProofWiki
Jump to navigation Jump to search

Definition

Let $S$ be the square wave defined as:

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

\delta + \gamma & : x \in \openint \alpha {\alpha + \lambda} \\ \delta - \gamma & : x \in \openint {\alpha - \lambda} \alpha \\ \map S {x + 2 \lambda} & : x < \alpha - \lambda \\ \map S {x - 2 \lambda} & : x > \alpha + \lambda \end {cases}$


The graph of $S$ is given below:

Square-wave-general.png