This paper discusses the wavelet transform by using new technique to calculate the threshold values. This new threshold methods are used to denoised the signal obtained from Petroleum Engineering applications. From numerical results the new threshold values outperform the existing threshold methods such as global threshold, minimax and SURE methods. Some mathematical derivations to give geometrical meaning to the parameters in the description of the new threshold method is discussed in details. All numerical experiments are executed by using Mathematica and Matlab Softwares.

1.
Karim
,
S.A.A.
,
B.A.
Karim
,
M.T.
Ismail
,
M.K
Hasan
, and
J.
Sulaiman
,
Applications of Wavelet Method in Stock Exchange Problem
.
Journal of Applied Sciences
,
11
(
8
),
1331
1335
, (
2011
).
2.
Karim
,
S.A.A.
,
S Karim
,
S.A.A.
,
Singh
,
B.S.M.
,
Razali
,
R.
and
Karim
,
B.A.A.
(
2011
).
Compression Solar Radiation data using Haar and Daubechies Wavelets
. In
Proceeding of Regional Symposium on Engineering and Technology 2011
,
Kuching, Sarawak, Malaysia
,
21-23 November 2011
, pp.
168
174
.
3.
Karim
,
S.A.A.
,
Ismail
,
M.T.
,
Hasan
,
M.K.
and
Sulaiman
,
J.
Denoising the Temperature Data using Wavelet Transform
.
Applied Mathematical Sciences
, Vol.
7
,
2013
, no.
117
,
5821
5830
.
4.
Karim
,
S.A.A.
,
Singh
,
B.S.M
,
Karim
,
B.A.
,
Hasan
,
M.K.
,
Sulaiman
,
J.
,
Josefina
,
B.
Janier
., and
Ismail
,
M.T.
Denoising Solar Radiation Data Using Meyer Wavelets
.
2012
. In
2ⁿᵈ International Conferences on Fundamental and Applied Sciences Department (ICFAS), UniversitiTeknologi PETRONAS
,
12-14 June 2012
,
Kuala Lumpur Convention Center (KLCC), Kuala Lumpur, Malaysia
.
AIP Conf. Proc.
1482
:
685
690
.
5.
Karim
,
S.A.A.
,
Singh
,
B.S.M.
,
Razali
,
R.
and
Yahya
,
N.
Data Compression Technique for Modeling of Global Solar Radiation
. In
Proceeding of 2011 IEEE International Conference on Control System, Computing and Engineering (ICCSCE 2011)
25-27 November 2011
,
Holiday Inn, BatuFeringhi, Penang, Malaysia
, pp.
448
352
.
6.
Karim
,
S.A.A.
,
Hasan
,
M.K.
,
Sulaiman
,
J.
,
Josefina
,
J. B.
,
Ismail
,
M.T.
and
Muthuvalu
.
Denoising Solar Radiation Data Using Coiflet Wavelets
.
ICFAS 2014
,
3-5 June 2014 KLCC
.
AIP Conf. Proc.
1621
,
394
(
2014
),
394
401
.
7.
Al-Wadi
,
S.
,
Ismail
,
M.T.
and
Karim
,
S.A.A.
Discovering Structural Break in Amman Stocks Market
.
Journal of Applied Sciences
,
11
(
7
),
1273
1278
, (
2011
).
8.
Om
,
H.
and
Biswas
,
M.
An Improved Image Denoising Method Based on Wavelet Thresholding
.
Journal of Signal and Information Processing
, Vol.
3
,
109
116
,
2012
.
9.
Buades
,
A.
,
Coll
,
B.
and
Morel
,
J.M.
A Review of Image Denoising Algorithms, with a New One
.
SIAM Journal of Multiscale Modeling Simulation
, Vol.
4
, No.
2
, pp.
490
530
,
2005
.
10.
Daubechies
,
I.
(
1992
). “Ten Lectures on Wavelets”, Vol.
61
,
CBMS-NSF Reg. Con. Ser. Appl. Math., Society for Indutsrial Appliied Maths (SIAM)
,
Philadelphia, PA
.
11.
Misiti
,
M.
,
Misiti
,
Y.
,
Oppenheim
,
G.
and
Poggi
,
J.M.
(eds.). (
2007
).
Wavelets and Their Applications
.
Wiley and Iste
,
London, UK
.
12.
Rosli
,
M.A.M.
New Curve Fitting Method for Petroleum Engineering Applications
. B. Eng. Thesis (Hons),
Petroleum Engineering Department, Universiti Teknologi PETRONAS (UTP
), May
2014
.
13.
Lyons
,
W.
Working Guide for Reservoir Engineering
.
Gulf Publishing
,
Elsevier: United States of America
,
2010
.
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