3-Algebra-Function-Kinds-Filtering

comb function

Filtering functions {comb function} {shah function} {sampling function} can have unit amplitude, zero width, and unit area at regular intervals: _|_|_|_|_. Comb filter selects points or intervals.

Dirac delta function

Filtering functions {Dirac delta function} {pulse filter} can have infinite amplitude, zero width, and unit area: __|__. The pulse filter selects point or interval.

filter function

Functions {filter function} can sample another function at intervals, to measure spatial wave-front spectrum or reveal pattern shape and size.

pi function

Filtering functions {rectangle function} {pi function} can equal one over interval and equal zero elsewhere: __-__. Filter selects point or interval.

triangle function

Filtering functions {triangle function} can equal zero except over interval where it rises then falls linearly at 45-degree angle: __A__. Filter selects interval and weights middle most and ends least.

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Date Modified: 2022.0225