1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
|
.TH "GeneWei" 2 " June 6th 1997" "Fractales Group" "Scilab Function"
.so ../sci.an
.SH NAME
GeneWei - Generalized Weierstrass function
.sp
Author: Paulo Goncalves
.sp
Generates a Generalized Weierstrass function
.sp
.sp
.SH Usage
.sp
.ft CR
.nf
[x,Ht]=GeneWei(N,ht,lambda,tmax,randflag)
.fi
.ec
.ft P
.sp
.SH Input parameters
.RS
.TP
o
\fB N \fP : Positive integer
Sample size of the synthesized signal
.TP
o
\fB ht \fP : Real vector or character string
\fI ht \fP: real vector of size \f(CR[\fP1,N\f(CR]\fP: each element
prescribes the local Holder regularity of the function. All elements
of \fI ht \fP must be in the interval \f(CR[\fP0,1\f(CR]\fP.
\fI ht \fP: character string : contains the analytic expression of the
Holder trajectory (e.g. '0.5*sin(16*t) + 0.5')
.TP
o
\fB lambda \fP : positive real
Geometric progression of the Weierstrass function. Default value is \fIlambda\fP = 2.
.TP
o
\fBtmax \fP : positive real
Time support of the Weierstrass function. Default value is \fItmax\fP = 1.
.TP
o
\fB randflag \fP : flag 0/1
\fI flag \fP = 0 : deterministic Weierstrass function
\fI flag \fP = 1 : random Weierstrass process
Default value is \fIrandflag\fP = 0
.RE
.SH Output parameters
.RS
.TP
o
\fB x \fP : real vector \f(CR[\fP1,N\f(CR]\fP
Time samples of the Weierstrass function
.TP
o
\fB Fj \fP : real vector \f(CR[\fP1,N\f(CR]\fP
Holder trajectory of the Weierstrass function
.RE
.SH See also:
.SH Example:
\f(CR[\fPx,Ht\f(CR]\fP = GeneWei(1024,'abs(sin(16*t))',2,1,0) ;
|
