B.12 TRIANGLE AND RAMP FUNCTIONS
Definition: Triangle Function The triangle function is
(B.60)
The symbol is sometimes used.
The rectangle function is used above to specify the support of tri(x), by appropriately truncating 1−|x|. The triangle function can be derived by convolving two rectangle functions:
(B.61)
Definition: Ramp Function The ramp function is
(B.62)
The unit-step function in the second expression defines the support of R(x) by truncating the linear function g(x) = x. The ramp function is obtained by integrating the unit-step function:
(B.63)
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