Properties:

• Convolution of two half-length rectangular windows
• Main lobe twice as wide as that of a rectangular window of length (i.e., not that of the half-length rectangular window which generates the triangular window via self-convolution).
• First side lobe twice as far down as rectangular case (-26 dB)
• Often applied implicitly to sample correlations of finite data
• Also called the ``tent function''
• often replaced by or to avoid including endpoint zeros

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.