Hardware Reference
In-Depth Information
(1,1)
(1,2)
(1,3)
A
B
C
(2,1)
(2,2)
(2,3)
D
E
F
(3,1)
(3,2)
(3,3)
G
C
A
(a)
(b)
Link
(E
(1,1)
,E
(1,2)
)
Link
(E
(1,2)
,E
(1,3)
)
Link
(E
(1,1)
,E
(1,3)
)
Link
(E
(1,2)
,E
(1,3)
)
A
C
B
C
B
Link
(E
(1,3)
,E
(2,3)
)
Link
(E
(1,2)
,E
(2,3)
)
Link
(E
(1,1)
,E
(2,2)
)
Link
(E
(1,2)
,E
(2,2)
)
F
E
Link
(E
(1,3)
,E
(2,2)
)
(c)
(d)
Link
(E
(2,2)
,E
(3,3)
)
Link
(E
(1,3)
,E
(3,3)
)
Link
(E
(1,3)
,E
(2,2)
)
Link
(E
(3,2)
,E
(3,3)
)
E
C
A
C
Link
(E
(2,2)
,E
(2,3)
)
Link
(E
(2,3)
,E
(3,2)
)
Link
(E
(2,3)
,E
(3,3)
)
Link
(E
(1,3)
,E
(2,3)
)
F
F
Link
(E
(2,3)
,E
(3,3)
)
(e)
(f)
Fig. 6.4
(
a
) Coordinate locations for the electrodes; (
b
) pin-assignment for the electrodes; graphs
corresponding to electrode (
c
) E
.1;2/
;(
d
) E
.1;3/
;(
e
) E
.2;3/
;and(
f
) E
.3;3/
For example, Fig.
6.4
a shows the coordinate locations for the electrodes and
Fig.
6.4
b shows the corresponding pin-assignment configuration. The electrode at
position .i; j / is represented by E
.i;j /
,andE
D
i;j
E
.i;j /
. When the operator
C
is
applied to E
.1;1/
,weget
.E
.1;1/
/
D
Pin A.
For any electrode E
2
E
, a droplet can be virtually placed on this electrode and
the CEG of the virtual droplet (written as E
group
) can be obtained. By taking any
two elements from E
group
, we can get an unordered pair of electrodes. The set that
consists of all such electrode pairs is represented by E
pair
.
Next, the operator ˚ is defined as a mapping from the set of electrodes E
to the
set of electrode pairs E
pair
.
C
