Compute the Fourier coefficients for f(t) = π − |t − π| where f(t) ∈ C([0,2π]).

Mathematics
Tutor: None Selected Time limit: 1 Day

May 14th, 2015

Since x(t) is an even signal, it is convenient to select the integration interval from –T/2 to

T/2. Equation (5) evaluated for h = 0 yields

p

T

T

T

T

p

T

AT

Adt

dt

t

x

T

c

=

=

=

2

2

2

2

0

)

(

1

The term c

0

represents the average value (dc component) of the signal x(t). For h

0 we

have,

,...

2

,

1

,

)

(

)

sin(

)

2

(

2

1

0

0

0

2

2

0

2

2

2

2

0

0

0

0

±

±

=

=

=

=

=

k


May 14th, 2015

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May 14th, 2015
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May 14th, 2015
Dec 6th, 2016
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