Table 1:
Twenty trials which compare the values of the indicated expressions for
𝑀
iterations per trial. The trials are divided into ten trials for two different noise amplitudes. Recall that
∑
𝑀
=
𝑗
. Let
𝑀
=
1
0
0
0
0
and
𝑞
=
0
.
0
0
0
1
.
∑
𝑀
𝑗
=
1
c
o
s
(
𝑗
𝑞
)
s
i
n
(
𝑗
𝑞
)
𝑎
∑
𝑀
𝑗
=
1
c
o
s
(
𝑗
𝑞
)
s
g
n
(
s
i
n
(
𝑗
𝑞
)
+
𝑋
𝑗
)
𝑎
=
1
3540.594404
3529.425407
(1)
↓
3569.469208
(2)
3460.5978
(3)
3540.394914
(4)
3542.955134
(5)
3644.993387
(6)
3441.978126
(7)
3510.495952
(8)
3544.098984
(9)
3645.64803
(10)
𝛽
=
0
.
5
6
4
4
7
%
,
V
a
r
(
𝑌
)
=
0
.
8
2
2
9
4
9
𝑎
=
2
3540.594404
3578.540737
(1)
↓
3468.32837
(2)
3063.26568
(3)
3629.793227
(4)
3562.692845
(5)
3605.376332
(6)
3284.005063
(7)
3375.67384
(8)
3356.467161
(9)
3500.608956
(10)
𝛽
=
1
.
7
3
1
1
5
4
%
,
V
a
r
(
𝑌
)
=
0
.
9
5
5
7
3
7