... chosen.
The performance of the G
μ
-FxSLMS algorithm was tested
for different values of the decimation factor N. Figure 6
shows the gain in step size over the frequency band of in-
terest for different ... convergence
rate. As far as the width of the notches is concerned, Figure 4
(where the decimation factor N
= 2) shows that the smaller
the length of the filter,...
... in
i
k
(
S
)
2
=
σ
2
N
·Tr
[
R
k
(
S
)
]
1
,(B.4)
0 50 10 0 15 0 200
S
1
1.05
1. 01
1 .15
A
Figure 7: Normalized trace of [R
k
(S)]
1
as a function of S.
where Tr(A)isthetraceofmatrixA. In the case of S = xL,
assuming ... is
independent of the number of lines. This is a consequence of
the fact that we are analyzing the average behavior. Th...
... f
x
∞
n 1
x
n 1
e
n
,
f
0
e
1
, is the complete system in H of eigenvectors of V
∗
and f
∞
n 1
f
n
e
n
∞
n 1
f, e
n
e
n
an
element of H [38].
Theuniqueelementf
∞
n 1
f
n
e
n
∞
n 1
f, ... C
0
V
∗
f, thatis ,f
x f
x
,C
0
V
∗
f ;
3 the abstract form of f x
2
is the element N f f V f, thatis,
f
x
2
f
x
,N
f
...
... s
.
E
2
Then, we have
b
1
1. 5,B
1
2.5,a
11
A
11
1, a
12
A
12
1
8
,K
12
s
1
2
s 1
,
b
2
1, B
2
3,a
22
A
22
1, a
21
A
21
1
4
,K
21
s
1
2
s 1
4.3
Advances ... consisting of all translates of f, that is, f
τ
∈ T f , where
f
τ
n, x
f
n τ, x
,τ∈ Z. 1. 4
Let H f denote the uniform clo...
... the open convex set A ⊂ R with finite expectation EX.Iff : A→R is convex, then EfX ≥
f EX.
Proof. The proof of the equivalent relations of E
2
, E
3
, E
4
, ,E
7
can be found in 1, ... “Further remarks on the expectation of the reciprocal of a
positive random variable,” The Americam Statistician, vol. 21, no. 4, pp. 33–34, 19 67.
19 X. F. Zong, “A furthe...
... Park 3
The following generalization of Theorems 1. 1 and 2.3 is a consequence of the main
theorem of [5], where
B
p
should be replaced by B.
Theorem 2.4. Let X be an almost convex subset of a locally ... that
(1) for each x
∈ C, F( x) is a nonempty closed subset of K;
(2) F has an (E,τ
w
)-almost fixed point in K.
If (
E,τ
w
)
∗
separates points of
E, then F has a fix...
... solution of 2.7,he
showed the existence of an almost periodic solution of the limiting equation 2 .12 of 2.7.
Total stability introduced by Malkin 11 in 19 44 requires that the solution of x
t
f t, ... solution of 1. 2 is uniformly asymptotically stable, then 1. 2 has an
almost periodic solution.
Equation 1. 2 is a discrete analogue of the inte...
... best results of the BOWS hall of fame,
at the end of the six months of the contest, are shown; the
dates in italic highlight the successful attacks carried out in
the second phase of the contest. ... the following results: PSNR of the image Strawberry
=
39.67 dB, PSNR of the image Wood Path = 39.65 dB, and the
PSNR of the image Church
= 38.45 dB.
By a...