WavePro 7Zi
361
WP700Zi-OM-E-RevA
Communications Channel Filters
Raised Cosine (a low-
pass filter)
These filters belong to the low-pass filter category (with a variety of shapes). Raised
cosine is one of a class of filters used to minimize intersymbol interference: the time
domain impulse response crosses zero at all bit time intervals except the one with
the impulse.
Applying raised root cosine twice (or at the sending and receiving end of a signal, for
example) results in a raised cosine filter effect. Sample applications include wireless
cellular communications such as WCDMA, datacom, telecommunications, disk drive
and optical drive analysis.
Band 1: Pass Band — DC to corner frequency minus half width; signal passes
unattenuated.
Band 2: Transition Region — corner minus half width to corner plus half width;
attenuation increases with frequency with a rolloff shape of 0.5cos(a) + 0.5, where a
ranges from 0 to p over the transition region. This region is determined by b, which is
specified as a percentage of the corner frequency.
Band 3: Stop Band — above corner frequency plus half width; highly attenuated.
The impulse function for the raised cosine filter is:
Raised Root Cosine
(a low-pass filter)
Band 1: Pass Band — DC to corner frequency minus half width; signal passes
unattenuated.
Band 2: Transition Region — corner minus half width to corner plus half width;
attenuation increases with frequency with a rolloff shape of 0.5[cos(a) + 0.5]½, where
a ranges from 0 to p over the transition region. This region is determined by b, which
is specified as a percentage of the corner frequency.
Band 3: Stop Band: — above corner frequency plus half width; signal is highly
attenuated.
The impulse function for the square-root raised cosine filter is:
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