A special case to note is a single frequency with only odd harmonics
present. The harmonics tend to cancel each other out, except for one
positive and one negative peak per time period of the fundamental. The
peaks have an amplitude equal to the sum of all the amplitudes added
together.
A special case of odd harmonics is has only odd harmonics, and every other odd harmonic is 180
degrees out of phase. The resultant signal is a square wave. The
amplitudes correspond to the amplitude of the fundamental divided by the
harmonic number.
Single Frequency with Only Odd Harmonics.
Note that the signal is not exactly square, but has ripples. This is
due to the fact that a limited number of odd harmonics are contained in
the signal. A true square wave contains all odd harmonics, which cannot
be truly simulated on a computer as a sum of the cosine functions.
Single Frequency with Only Odd Harmonics.
It may appear impossible for a piece of equipment to generate a
square wave, but it is possible to generate a signal with square wave
features. This can occur in a motor if the motor has a loose mount. If
the mounting bolts are loose, the motor will tend to move up and down.
If the motor moves up and is stopped by the mounting bolt, and then
moves down and is stopped by the motor support, a square wave can be
generated. If clipping occurs on both the top and bottom of a signal and
the clipping is significant,the result will resemble a square wave.
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