Huron & SNAP Documentation

Introduction
Uniform Window
Bartlett Window
Von Hann Window
Frequency Responses for Window
Functions — SimTools Appendix 1
The frequency responses of the window functions supported by
Wingen are described in this section.
The uniform (rectangular) window function is that which you
see when you do not use a window function. It's characteristic
feature is its narrow mainlobe width and its relatively high
sidelobes. The first sidelobe is attenuated about 13dB below
the peak of the mainlobe. The uniform window function is
defined by equation 1.
hn ( ) = 10 .
N N
n = −
,..., −101
, , ,..., (1)
2
2
The Bartlett (triangular) window is the convolution of two
uniform windows of length equal to half the interval. This
implies that it has a frequency response equal to the
multiplication of the frequency response of two rectangular
window functions. The mainlobe has been doubled in width to
the uniform window, and the main sidelobe is attenuated at -
26dB. The sidelobes also decay away more rapidly. The
Bartlett window function is defined by equation 2.
HURON TECHNICAL MANUAL PAGE 247
( )
hn
= 10 . −
n
N
2
N N
n = −
,..., −101
, , ,...,
2
2
The Von Hann is the first in a family of cos(x) windows. This
family of windows are expressed in terms of a cosine series.
(2)