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Unformatted text preview: the
peak
amplitude
of
the
sawtooth
waveform.
The
coefficient
of
proportionality
is
found
from
integration
and
depends
on
n
=
the
number
of
the
harmonic
component.
Analytical
formula:
Sawtooth wave of peak amplitude A = = n = integer ∑ ⎢( −1)
⎣ = + ⎡ n +1 ⎤ 2A ⋅ sin( 2π ⋅ n ⋅ f0 ⋅ t ) ⎥ = π ⋅n ⎦ 2A ⋅ sin( 2π ⋅ f0 ⋅ t ) + π
According
to
this
formula,
the
amplitude
of
the
2nd
harmonic
is
half
of
the
amplitude
of
the
fundamental;
the
amplitude
of
the
3rd
harmonic
equals
to
one‐third
of
the
amplitude
of
the
fundamental,
etc.
©
2010
Alexander
Ganago
Page
2
of
4
File:
Saw‐tooth
harmonics
2A ⋅ sin( 2π ⋅ 2 ⋅ f0 ⋅ t + 180o ) + π ⋅2 2A + ⋅ sin( 2π ⋅ 3 ⋅ f0 ⋅ t ) + π ⋅3 2A + ⋅ sin( 2π ⋅ 4 ⋅ f0 ⋅ t + 180o ) + ... π ⋅4 [equation 5] EECS
314
Winter
2010
Homework
2
Required
reading
for
Problem
2
Note
tha...
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This note was uploaded on 12/06/2010 for the course EECS 314 taught by Professor Ganago during the Spring '07 term at University of Michigan.
 Spring '07
 Ganago
 Volt

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