Chebyshev Polynomials
The
th Chebyshev polynomial may be defined by
![]() |
(4.46) |
The first three even-order cases are plotted in Fig.3.35. (We will only need the even orders for making Chebyshev windows, as only they are symmetric about time 0.) Clearly,



![]() |
(4.47) |
for

is an
th-order polynomial in
.
is an even function when
is an even integer, and odd when
is odd.
has
zeros in the open interval
, and
extrema in the closed interval
.
for
.
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Dolph-Chebyshev Window Definition
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Kaiser and DPSS Windows Compared