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Reseach Article

Mixed Transforms Generated by Tensor Product and Applied in Data Processing

by Saifuldeen A. Mohammed, Zainab Ibraheem, Abdullah Abdali Jassim
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 81 - Number 19
Year of Publication: 2013
Authors: Saifuldeen A. Mohammed, Zainab Ibraheem, Abdullah Abdali Jassim
10.5120/14273-2351

Saifuldeen A. Mohammed, Zainab Ibraheem, Abdullah Abdali Jassim . Mixed Transforms Generated by Tensor Product and Applied in Data Processing. International Journal of Computer Applications. 81, 19 ( November 2013), 29-37. DOI=10.5120/14273-2351

@article{ 10.5120/14273-2351,
author = { Saifuldeen A. Mohammed, Zainab Ibraheem, Abdullah Abdali Jassim },
title = { Mixed Transforms Generated by Tensor Product and Applied in Data Processing },
journal = { International Journal of Computer Applications },
issue_date = { November 2013 },
volume = { 81 },
number = { 19 },
month = { November },
year = { 2013 },
issn = { 0975-8887 },
pages = { 29-37 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume81/number19/14273-2351/ },
doi = { 10.5120/14273-2351 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:56:30.247210+05:30
%A Saifuldeen A. Mohammed
%A Zainab Ibraheem
%A Abdullah Abdali Jassim
%T Mixed Transforms Generated by Tensor Product and Applied in Data Processing
%J International Journal of Computer Applications
%@ 0975-8887
%V 81
%N 19
%P 29-37
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Finding orthogonal matrices in different sizes is very complex and important because it can be used in different applications like image processing and communications (e. g. CDMA and OFDM). In this paper we introduce a new method to find orthogonal matrices by using tensor products between two or more orthogonal matrices of real and imaginary numbers with applying it in images and communication signals processing. The output matrices will be orthogonal matrices too and the processing by our new method is very easy compared to other classical methods those use basic proofs . The results are normal and acceptable in communication signals and images but it needs more research works.

References
  1. Saifuldeen Abdulameer Mohammed, "A Propose for a Quadrature – Phase as Full Orthogonal Matrix Transform Compared with FFT Matrix Multiplication and Applied in OFDM System (Safe Transform the Fourier Twins)",Doi :10. 7321/jscse. Vol. 2, No. 6. 5, Jun pp : 56 – 72
  2. Saifuldeen Abdulameer Mohammed, "Proposed System to Increase the Bits rat for User in the Chip packet using Complex number in Code Division Multiplexing Access and Pseudo Noise (JCDMA and JPN)", Published in the proceeding of the Second Scientific Conference of Electrical Engineering University of Technology 4-5 April 2011 CE13 pp 200-211.
  3. Bourbaki, Nicolas (1989), Elements of mathematics, Algebra I, Springer-Verlag, ISBN 3-540-64243-9.
  4. Karen Lees, "Image Compression using Wavelets", thesis, 2002, www. ivsl. org.
  5. P. M. K. Prasad ,Prabhakar Telagarapu and G. Uma Madhuri, "Image Compression using Orthogonal Wavelets Viewed from Peak Signal to Noise Ratio and Computation Time", International Journal of Computer Applications (0975 – 888)Volume 47– No. 4, June 2012, www. ivsl. org. .
  6. Catherine Bénéteau and Patrick J. Van Fleet, "Wavelets and Image Compression", 2009. Tavel, P. 2007 Modeling and Simulation Design. AK Peters Ltd.
  7. Nagamani . K and A G Ananth, "Evaluation of SPIHT Compression Scheme for Satellite Imageries Based on Statistical Parameters", International Journal of Soft Computing and Engineering (IJSCE) ISSN: 2231-2307, Volume-2, Issue-2, May 2012, www. ivsl. org.
  8. H. B. Kekre, Sudeep D. Thepade, Tanuja K. Sarode and Vashali Suryawanshi, "Image Retrieval using Texture Features extracted from GLCM, LBG and KPE", International Journal of Computer Theory and Engineering, Vol. 2, No. 5, October, 2010, www. ivsl. org.
  9. Nik Shahidah Afifi Md. Taujuddin, Nur Adibah Binti Lockman "Image Compression using Wavelet Algorithm", shahidah@uthm. edu. my, nur. adibah1202@gmail. com, International Seminar on the Application of Science & Mathematics 2011.
  10. Sudhakar Radhakrishnan and Jayaraman Subramaniam, "Novel Image Compression Using Multi-wavelets with SPECK Algorithm", the International Arab Journal of Information Technology, Vol. 5, No. 1, January 2008.
Index Terms

Computer Science
Information Sciences

Keywords

Orthogonally OFDM CDMA JCDMA Wavelet Safe Transform Compression Kronecker product