Equivalently, this is the convolution of two unit-width rectangular functions: the overlap length is when , and zero otherwise. Time rescaling and amplitude changes give triangular pulses with different widths and heights. The convolution theorem also obtains the displayed transform by squaring , with continuous value one at zero.
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The term "triangular function" can refer to different concepts depending on the context in which it is used. Here are a couple of interpretations: 1. **Triangular Wave Function**: In signal processing and wave theory, a triangular function often refers to a triangular wave, which is a non-sinusoidal waveform resembling a triangular shape. It alternates linearly between a peak and a trough.