Abstract
We have designed a novel convex optimization-based filter bank (FB), which minimizes the frequency band errors and optimizes time–frequency localization at the same time. The designed FB is regular and satisfies the constraint of perfect reconstruction (PR). In convex optimization, we have optimized quadratic constrained quadratic programs by transforming it into a semidefinite program. We have also compared the frequency band errors and time–frequency localization of proposed FB with existing FB. We have used this FB for designing a new contact lens detection (CLD) system. The IIITD database has been used for this purpose. The results have been expressed in terms of correct classification rate (CCR). The superiority of the designed FB has been shown by comparing the results with other existing CLD systems. The newly designed FB can also be effectively used for various signal processing applications.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Patil, B.D., Patwardhan, P.G., Gadre, V.M.: On the design of fir wavelet filter banks using factorization of a halfband polynomial. IEEE Signal Process. Lett. 15, 485–488 (2008)
Rahulkar, A.D., Patil, B.D., Holambe, R.S.: A new approach to the design of biorthogonal triplet half-band filter banks using generalized half-band polynomials. Signal Image Video Process. 8(8), 1451–1457 (2014)
Vaidyanathan, P.P., Hoang, P.-Q.: Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks. IEEE Trans. Acoust. Speech Signal Process. 36(1), 81–94 (1988)
Vaidyanathan, P.P.: Multirate digital filters, filter banks, polyphase networks, and applications: a tutorial. Proc. IEEE 78(1), 56–93 (1990)
Phoong, S.-M., Kim, C.W., Vaidyanathan, P.P., Ansari, R.: A new class of two-channel biorthogonal filter banks and wavelet bases. IEEE Trans. Signal Process. 43(3), 649–665 (1995)
Daubechies, I.: Ten lectures on wavelets. SIAM (1992)
Ansari, R., Kim, C.W., Dedovic, M.: Structure and design of two-channel filter banks derived from a triplet of halfband filters. IEEE Trans. Circuits Syst. II: Analog Digit. Signal Process. 46(12), 1487–1496 (1999)
Patil, B.D., Patwardhan, P.G., Gadre, V.M.: Eigenfilter approach to the design of one-dimensional and multidimensional two channel linear-phase fir perfect reconstruction filter banks. IEEE Trans. Circuits Syst. I: Regul. Pap. 55(11), 3542–3551 (2008)
Daugman, J.G.: High confidence visual recognition of persons by a test of statistical independence. IEEE Trans. Pattern Anal. Mach. Intell. 15(11), 1148–1161 (1993)
Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press (2004)
Goemans, M.X., Williamson, D.P.: Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. ACM (JACM) 42(6), 1115–1145 (1995)
Luo, Z.-Q., Ma, W.-K., So, A.M.-C., Ye, Y., Zhang, S.: Semidefinite relaxation of quadratic optimization problems. IEEE Signal Process. Mag. 27(3), 20–34 (2010)
Morris, J.M., Peravali, R.: Optimum duration discrete-time wavelets. Opt. Eng. 36(4), 1241–1248 (1997)
Sharma, M., Kolte, R., Patwardhan, P., Gadre, V.: Time-frequency localization optimized biorthogonal wavelets. In: 2010 International Conference on Signal Processing and Communications (SPCOM), pp. 1–5. IEEE (2010)
Sharma, M., Gadre, V.M., Porwal S.: An eigenfilter-based approach to the design of time-frequency localization optimized two-channel linear phase biorthogonal filter banks. Circuits Syst. Signal Process. 34(3) (2014)
Sharma, M., Bhati, D., Pillai, S., Pachori, R.S., Gadre, V.M.: Design of time–frequency localized filter banks: transforming non-convex problem into convex via semidefinite relaxation technique. Circuits, Syst. Signal Process. 35(10), 3716–3733 (2016)
Tay, D.B.: Balanced-uncertainty optimized wavelet filters with prescribed regularity. In: Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS’99, vol. 3, pp. 532–535 (1999)
Grant, M., Boyd, S., Ye, Y.: CVX: Matlab software for disciplined convex programming (2008)
Grant, M., Boyd, S., Ye, Y.: CVX users’ guide (2009)
Kohli, N., Yadav, D., Vatsa, M., Singh, R.: Revisiting iris recognition with color cosmetic contact lenses. In: 2013 International Conference on Biometrics (ICB), pp. 1–7. IEEE (2013)
Yadav, D., Kohli, N., Doyle, J.S., Singh, R., Vatsa, M., Bowyer, K.W.: Unraveling the effect of textured contact lenses on iris recognition. IEEE Trans. Inf. Forensics Secur. 9(5), 851–862 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Madhe, S., Holambe, R. (2019). Convex Optimization-Based Filter Bank Design for Contact Lens Detection. In: Iyer, B., Nalbalwar, S., Pathak, N. (eds) Computing, Communication and Signal Processing . Advances in Intelligent Systems and Computing, vol 810. Springer, Singapore. https://doi.org/10.1007/978-981-13-1513-8_79
Download citation
DOI: https://doi.org/10.1007/978-981-13-1513-8_79
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-1512-1
Online ISBN: 978-981-13-1513-8
eBook Packages: EngineeringEngineering (R0)