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

User Generated

fbbe1

Mathematics

Description

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

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



Anonymous
Awesome! Made my life easier.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags