A method to obtain a signal with a flat spectrum (such as a pulse), but having a smaller amplitude
than the pulse.

(1)

whence

(2)

where

(3)

with .

Thus
and
are a Fourier pair, and since , it is guaranteed that the sequence has a flat spectrum. The sequence is called the "quadratic phase array."

See also Quadratic
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References Aarts, R. M. and Janssen, A. J. E. M. "On Analytic Design of Loudspeaker Arrays with Uniform Radiation Characteristics."
J. Acoust. Soc. Amer. 107 , 287-292, 2000. Referenced on Wolfram|Alpha Quadratic Phase Array
Cite this as:
Weisstein, Eric W. "Quadratic Phase Array."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/QuadraticPhaseArray.html

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