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Mathematica > Data Manipulation > Signal Processing >

SquareWave

SquareWave[x]
gives a square wave that alternates between +1 and -1 with unit period.

SquareWave[{y₁, y₂}, x]
gives a square wave that alternates between y₁ and y₂ with unit period.

SquareWave is periodic with period 1:

SquareWave is periodic with period 1:

SquareWave of real arguments always returns an exact result of 1, -1 or 0:

SquareWave threads element-wise over lists:

Square wave with specified boundary values:

Square wave sound sample:

Fourier decomposition:

Use FunctionExpand to expand SquareWave in terms of elementary functions:

Use PiecewiseExpand to obtain piece-wise representation:

Integration:

SquareWave is only defined on real numbers: