Digital Signal Processing Reference
In-Depth Information
C
SUMMATION FORMULAS
FOR GEOMETRIC SERIES
n
1
-
a
n+ 1
1 - a
a
k
1.
=
a
k= 0
q
k= 0
1
1 - a
;
a
k
2.
=
ƒ a ƒ 6 1
q
k=n
a
n
1 - a
;
a
k
3.
=
ƒ a ƒ 6 1
n
2
a
n
1
-
a
n
2
+ 1
1 - a
a
k
4.
=
;
n
2
7 n
1
a
k=n
1
5.
q
k= 0
a
(1 - a)
2
;
ka
k
=
a 6 1
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