A method to obtain a signal
(1)
whence
(2)
where
(3)
with
Thus
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 https://mathworld.wolfram.com/QuadraticPhaseArray.html
Subject classifications
with a flat spectrum 
(such as a pulse), but having a smaller amplitude
than the pulse.
.
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."
