Fourier
Problem
Problem
Freq4P01
Shown below is the output of a half-wave rectifier. The signal is
a half-wave rectified sine wave.
If this rectified sine
wave is the input to a filter (where you are trying to extract the DC signal
in the rectified sine wave) the following information will be important.
-
The DC level in the signal.
-
The harmonic content of
the signal.
Determine those quantities
by doing the following.
-
Find the DC component,
i.e. ao.
-
Find the expression for
the harmonic components, i.e. an and bn,
for all values of n.
-
Determine the RMS components
as a function of frequency.
Editor's
Note
This may look harder than it really is. You might want to try to
visualize the integrals for the Fourier Series Coefficients. Start
by visualizing/sketching the fundamental sine and cosine integrals.