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ACCT 2008 , Jun 16-22, Pamporovo, Bulgaria

Linear Fractional. Institute of Information & Communication Chonbuk National University Jeonju, 561-756, Korea Tel: +82632702463 ; Fax: +82632704166. htttp://en.wikipedia.org/wiki/Category:Matrices. ACCT 2008 , Jun 16-22, Pamporovo, Bulgaria. htttp://en.wikipedia.org/wiki/Jacket:Matrix.

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ACCT 2008 , Jun 16-22, Pamporovo, Bulgaria

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  1. Linear Fractional Institute of Information & Communication Chonbuk National UniversityJeonju, 561-756, Korea Tel: +82632702463; Fax: +82632704166 htttp://en.wikipedia.org/wiki/Category:Matrices ACCT 2008, Jun 16-22, Pamporovo, Bulgaria htttp://en.wikipedia.org/wiki/Jacket:Matrix http://en.wikipedia.org/wiki/user:leejacket

  2. Jacket Basic Concept from Center Weighted Hadamard where Sparse matrix and its relation to construction of center weighted Hadamard *Moon Ho Lee, “Center Weighted Hadamard Transform” IEEE Trans. on CAS, vol.26, no.9, Sept. 1989 * Moon Ho Lee, and Xiao-Dong Zhang,“Fast Block Center Weighted Hadamard Transform” IEEE Trans. On CAS-I, vol.54, no.12, Dec. 2007.

  3. where where Why use Jacket Matrices? Jacket Definition: element inverse and transpose Simple Inverse and Examples:

  4. Example: Paley constr.

  5. Where are Jacket matrices?

  6. Fourier (1768-1830) Galois (1811-1832) Hadamard (1865-1963) *Element-wise Inverse *Linear Fraction Jacket Matrix : Moon Ho Lee (1985) Leonhard Euler (1707-1783) Markov (1856-1922) Fibonacci (1170-1250)

  7. w1=w4 w0=w3 w2=w5

  8. RMp(1,m)

  9. . .-1 Fibonacci Jacket Conference Matrix GF(7) J8= mod 7, J8’= mod 7. J8.J8’=(8-1) I mod 7 = 0.

  10. Fibonacci polynomials.

  11. EXAMPLE OF TRANSPOCE OF MAROV & JACKET:

  12. ? ? ? ? ?

  13. Applications: PN Sequence

  14. Output matrix is Jacket matrix:

  15. Conclusion Linear Fractional Jacket Matrices

  16. References • M.H. Lee, The Center Weighted Hadamard Transform, IEEE Trans.1989 AS-36, (9), pp.1247-1249. • S.-R.Lee and M.H.Lee, On the Reverse Jacket Matrix for Weighted Hadamard Transform, IEEE Trans. on Circuit Syst.II, vol.45.no.1, pp.436-441,Mar.1998. • M.H. Lee, A New Reverse Jacket Transform and its Fast Algorithm, IEEE Trans. Circuits Syst.-II , vol 47, pp.39-46, 2000. • M.H. Lee and B.S. Rajan, A Generalized Reverse Jacket Transform, IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 48 no.7 pp 684-691, 2001. • J. Hou, M.H. Lee and J.Y. Park, New Polynomial Construction of Jacket Transform, IEICE Trans. Fundamentals, vol. E86-A no. 3, pp.652-659, 2003. • W.P. Ma and M. H. Lee, Fast Reverse Jacket Transform Algorithms, Electronics Letters, vol. 39 no. 18 , 2003. • Moon Ho Lee, Ju Yong Park, and Jia Hou,Fast Jacket Transform Algorithm Based on Simple Matrices Factorization, IEICE Trans. Fundamental, vol.E88-A, no.8, Aug.2005. • Moon Ho Lee and Jia Hou, Fast Block Inverse Jacket Transform, IEEE Signal Processing Letters, vol.13. No.8, Aug.2006. • Jia Hou and Moon Ho Lee ,Construction of Dual OVSF Codes with Lower Correlations, IEICE Trans. Fundamentals, Vol.E89-A, No.11 pp 3363-3367, Nov 2006. • Jia Hou , Moon Ho Lee and Kwang Jae Lee,Doubly Stochastic Processing on Jacket Matricess, IEICE Trans. Fundamentals, vol E89-A, no.11, pp 3368-3372, Nov 2006. • Ken Finlayson, Moon Ho Lee, Jennifer Seberry, and Meiko Yamada, Jacket Matrices constructed from Hadamard Matrices and Generalized Hadamard Matrices, Australasian

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