All
and
more about
Sharp
PC
-
150
0 at http:/lwww.PC-1500.info
SHARP
PROGRAM
T I T L E
[ Outline I
FOURIER SERIES
PROGRAM
NO
.
P5- A- 3
CE-
I
SO
rcqu
ired
This program does Fourier expansion
of
a periodic function f(t) with
f(t+211")
= f (t).
[ Operating Guide ]
Input:
I).
No.
of
divisions
input
With the display
of
"N
=
",
key-in the No.
of
divisions within the period.
2) . Function
value
input
The input range
is
[ 0,
211"
I and with the display
of
"Y
(i)
=
",
key-in the
function value
r(2~i)
Output:
Fourier
coefficie111
outp
ut
The outputs
of
Fourier coefficient,
ui
(up
Io N/2) and bi
(up
to N/2-
1)
of
function f (t) are possible.
Note that the No.
of
divisions N for input I) mus! be even number and 176
maxin1
urt1
.
[ Example I
Function values for n = I
to
10
whc!1
one period
[0
, 2
11")
of
a composite
wave
forms
f (t)
=Co
s
2t
+ 3 Sin t + 7 Sin
31.
f(l)
= 8.729771
f
(2)
=
-2.0
70344
f (3) = - 2.070341
f (4) = 8.729764
f
(5)
= I
f(6)
= - 8.11173
f
(7)
= 0.45231
f (8) = 0.45231
f(9)
= - 8. 111737
f
(I
0)
= I
The
Fourier expansion is thus performed.
[
Contents]
(Formulas)
/ (
t)-
a
2
"+
';'.
(
o;COS;t
+
b;SIN;t
l
' I
?
~
2tr
a;
=
~.~
"Y
0
C
os
< _,x
n;
)
·"
n • I
•"
2 '
21!
b = -
::<
·y
·Sin
(~
Xn
· )
I
~
3 - l n
:-.:
}
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not
sale this PDF !!!
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