Download Wavelet Theory and Its Application to Pattern Recognition by J. Liu, H. Ma PDF

Posted by

By J. Liu, H. Ma

This isn't a only mathematical textual content. It provides the elemental precept of wavelet concept to electric and digital engineers, computing device scientists, and scholars, in addition to the tips of the way wavelets will be utilized to development acceptance. It additionally comprises many study effects from the authors' learn staff.

Show description

Read or Download Wavelet Theory and Its Application to Pattern Recognition PDF

Best waves & wave mechanics books

Path Integrals and Quantum Anomalies (The International Series of Monographs on Physics)

The Feynman direction integrals have gotten more and more very important within the functions of quantum mechanics and box idea. the trail necessary formula of quantum anomalies, (i. e. : the quantum breaking of sure symmetries), can now conceal all of the identified quantum anomalies in a coherent demeanour. during this ebook the authors supply an creation to the trail necessary strategy in quantum box conception and its purposes to the research of quantum anomalies.

Physical Problems Solved by the Phase-Integral Method

This ebook covers the most effective approximation equipment for the theoretical research and answer of difficulties in theoretical physics and utilized arithmetic. the tactic might be utilized to any box regarding moment order traditional differential equations. it's written with functional wishes in brain, with 50 solved difficulties masking a vast variety of matters and making transparent which strategies and result of the overall conception are wanted in every one case.

Guided Waves in Structures for SHM: The Time-Domain Spectral Element Method

Figuring out and analysing the advanced phenomena on the topic of elastic wave propagation has been the topic of severe study for a few years and has enabled software in different fields of know-how, together with structural health and wellbeing tracking (SHM). throughout the fast development of diagnostic tools employing elastic wave propagation, it has turn into transparent that latest tools of elastic wave modeling and research aren't regularly very helpful; constructing numerical tools aimed toward modeling and analysing those phenomena has develop into a need.

Additional info for Wavelet Theory and Its Application to Pattern Recognition

Example text

Obviously a2 is invariant under r. One needs to prove that I{a,t) is invariant. Let us rearrange I(a,t) in Eq. (113) as I(a,t) = -[J{a,t)-J(ai=0,t)] (118) where J(a, t) = ^2 cosh i2b(a -a-Q-a)t + h(l + b2)t)\,. (119) a>0 The problem reduces to prove J(a, t) invariant under r. Under r, if a positive root goes to another positive root, this only reshuffles the terms in J(a,t). However, there are cases where a postive root goes to a negative root, —/3 = TOL. Then apart from the reshuffling, J(a,t) contains the term, cosh (2ba • (-/3)f - 26Q • at + h{\ + b2)t) (120) This is the case when r changes a simple root aT to zeroth root eo : raT = eo.

Yang, Phys. Lett. A 261, 252 (1999); K. Chen, H. Y. J. -L. Yang and R. H. Yue, Prog. Theor. Phys. Suppl. 135, 149 (1999). 22. T. Kikuchi, "Diagonalization of the elliptic Macdonald-Ruijsenaars difference system of type C2," e-print math/9912114. 23. M. Ruijsenaars, Commun. Math. Phys. 110, 191 (1987). 24. M. Bruschi and F. Calogero, Commun. Math. Phys. 109, 481 (1987). 25. I. Krichever and A. Zabrodin, Usp. Math. Nauk, 50:6, 3 (1995). 26. B. " e-print hep-th/9602160. 27. B. Suris, Phys. Lett. A225, 253 (1997).

14. V. Fateev, Mod. Phys. Lett. A15 (2000) 259. 15. P. Baseilhac and V. A. Fateev, Nucl. Phys. B532 (1998) 567; Al. B. Zamolodchikov, in private communications. 16. V. Fateev and S. Lukyanov, Sov. Sci. Rev. A212 (Physics) (1990) 212. 17. P. Bouwknegt and K. Schoutens, "W-symmetry" Singapore, World Scientific (1995). 18. Al. B. Zamolodchikov, Int. J. Mod. Phys. A10 (1995) 1125. 19. V. Fateev, S. Lukyanov, A. Zamolodchikov, and Al. Zamolodchikov, Phys. Lett. B406 (1997) 83. 20. R. C. Rashkov and M.

Download PDF sample

Rated 4.33 of 5 – based on 26 votes