Sharp PC-1500 Applications Manual page 18
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Also See for PC-1500:
- Technical reference manual (182 pages) ,
- Instruction manual (169 pages) ,
- Service manual (37 pages)
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SHARP
PROGRAM
T
I
T L
E
[ Outline
I
FOURIER
SERIES
PROGRAM
NO.
P5-
A-
3
CE-
I
SO
rcqu
ired
T his
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
output
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
maxin1urt1.
[ Example
I
Function
values for
n
=
I
to
10 whc!1
one
period
[0,
211")
of
a
composite
wave
forms
f
(t)
=Cos 2t
+ 3
Sin t
+
7 Sin
31.
f(l)
=
8.729771
f (2)
=
-2.070344
f
(3)
=
-
2.070341
f (4)
=
8.729764
f
(5)
=
I
f(6)
=
-
8.11173
f (7)
=
0.4523
1
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;tl
'
I
?
~
2tr
a;
=
~.~
"Y 0
Cos
<
_,x
n;
)
·"
n
•
I
•"
2
'
21!
b
=
-
::<
·y
·Sin
(~Xn
·
)
I
~
3
-
l
n
:-.:
}
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not sale
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12
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