“Rectangle Function”的概念、定义、习题解题方法及翻译-数学辞典

单词

Rectangle Function

释义

Rectangle Function

The rectangle function is a function which is 0 outside the interval and unity inside it. It is also calledthe Gate Function, Pulse Function, or Window Function, and is defined by

(1)

The function

has height

, center

, and full-width

. Identities satisfied by the rectanglefunction include

			(2)
			(3)
			(4)
			(5)

where

is the Heaviside Step Function. The Fourier Transform of the rectangle function isgiven by

(6)

where

is the Sinc Function.

See also Fourier Transform--Rectangle Function, Heaviside Step Function, Ramp Function

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