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Unformatted text preview: ingly,
equals
zero
for
a
perfect
saw‐tooth.
©
2010
Alexander
Ganago
Page
1
of
4
File:
Saw‐tooth
harmonics
EECS
314
Winter
2010
Homework
2
Required
reading
for
Problem
2
According
to
the
Fourier
theorem,
any
periodic
signal
can
be
expressed
as
a
sum
of
sinusoids:
f (t ) = a0 + ∑ an ⋅ cos(2π ⋅ n ⋅ f0 ⋅ t ) + ∑ bn ⋅ sin(2π ⋅ n ⋅ f0 ⋅ t )
n =1 n =1 ∞ ∞
[equation
4]
Although
the
formula
above
includes
both
sine
and
cosine
waves,
some
of
their
coefficients
may
vanish
due
to
symmetry:
for
example,
the
saw‐tooth
waveform
can
be
built
as
the
sum
of
sine
wa...
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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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