bartlett function - Wolfram|Alpha

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Input interpretation

Bartlett function

Definition

The apodization function
f(x) = 1 - ( left bracketing bar x right bracketing bar )/a
which is a generalization of the one-argument triangle function. Its full width at half maximum is a.
It has instrument function
I(k) = a sinc^2(π k a), where sinc(x) is the sinc function.

More information »

Related terms

apodization function | instrument function | Parzen apodization function | triangle function

Subject classifications

MathWorld

apodization functions | transcendental root constants

MSC 2010

44-XX

Associated person

M. S. Bartlett

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