Digital Signal Processing
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Signal Aliasing
Fundamentals
When a signal varies with time, we are usually
concerned not only with its magnitude but also with
how it changes. Oscilloscopes, strip chart recorders
and other analog recording devices enable us to make
observations of the signal by continuously recording
and displaying the measurement data in the time
domain. When digital computers are utilized for this
purpose, however, the magnitude of the signal is
sampled only at fixed intervals of time with a
complete loss of continuity between. For data
acquired in this form, the mathematics of digital
signal processing can be used to analyze the signal
in both the time and frequency domains. That is, we
can know not only how the magnitude of the signal
varied with time, but also what the amplitudes of any
oscillations were over a spectrum of frequencies.
Care must be taken when dealing with digital data to
avoid the creation of false, lower-frequency signals
by a phenomenon called aliasing. Do you remember
seeing the spoke wheels of a wagon that appeared to
turn backwards as the wagon rolled across a
television or movie screen? That's a false visual
impression caused by aliasing. When the wheel is
rotating at a slightly slower rate than that at which
the frames are projected, the wheels appear to run in
reverse. Further, if the wheels were rotated at the
same rate as the frames are projected, the wheel
would appear to be static, or not turning at all!
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