Abstract
In Envelope Constrained (EC) filter design, the effect of input noise is minimized subject to the constraint that the filter’s response to a specified signal fits into a prescribed enevlope. It is invariably the case that the response of the optimal EC filter touches the output envelope at some instances. Consequntly, any disturbance in the prescribed input or implementation error could violate the output constraints. This paper presents a technique survey of progresses in EC filtering, including up-to-date results in EC filtering which is robust to input or implementation uncertainty.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahmed, K. M. and Evans, R. J. (1984), An adaptive array processor with robustness and broadband capabilities, IEEE Trans. Antennas and Propagat., Vol. AP-32, pp. 944–950.
Bell Communications (1988), DSX-3 Isolated Pulse Template and Equations, Technical Reference TR-TSY-000499, Issue 2, pp. 9–17.
Catoni, A. (1988), Envelope-constrained filters — A practical application of optimization theory and algorithms. Key Note address, ICOTA 98, Perth, Australia, pp. 35–52.
CCITT (1984), Physical/Electrical characteristics of Hierarchical Digital Interfaces, G.703, Fascicle III.
Dennis, J. E. Jr. and Schnabel, R. B.(1989), A view of unconstrained optimization, Handbooks in operations research and management science, G. L. Nemhauseret al., Eds., Elsevier Science Publishers B. V. (North-Holland) Vol. 1, pp. 1–72.
Dennis, J. E. Jr. and Schnabel, R. B. (1983), Numerical methods for unconstrained optimization and nonlinear equations, New Jersey: Prentice-Hall.
Dunford, N. and Schwartz, J. T. (1963), Linear Operators, Part II, Chapter XI, Interscience Publishers, Wiley.
Evans, R. J. (1975), Optimal signal processing with constraints, PhD thesis, Dept. of Electrical Engineering, University of Newcastle.
Evans, R. J., Cantoni, A., and Ahmed, K. M. (1983), Envelope-constrained filters with uncertain input, Circuits System Signal processing. Vol. 2, No. 2, pp. 131–154.
Evans, R. J., Cantoni, A. and Fortmann, T. E. (1977), Envelope-constrained filter, Part II, adaptive structures, IEEE Trans. Information Theory, Vol. IT-23, pp. 435–444.
Evans, R. J., Fortmann, T. E. and Cantoni A. (1977), Envelope-constrained filter, Part I, theory and applications, IEEE Trans. Information Theory, Vol. IT-23, pp. 421–434.
Fortmann, T. E. and Athans, M. (1974), Optimal filter design subject to output sidelobe constraints: Theoretical considerations, Journal of Optimization Theory and Applications, Vol. 14, No. 2, pp. 179–197.
Fortmann, T. E. and Evans R. J. (1974), Optimal filter design subject to output sidelobe constraints: Computational algorithm and numerical results, Journal of Optimization Theory and Applications, Vol. 14, No. 3, pp. 271–290.
Gabel, R. A. and Roberts, R. A. (1987), Signal and Linear Systems, 3rd Ed., John Wiley and Sons.
Lechleider, J. W. (1990), Pulse envelope for digital systems, Proc. IEEE. Int. Conf. Communications, Atlanta, GA, Vol.2, pp. 703–706.
Luenberger, D. G. (1969), Optimization by vector space methods, New York: Wiley.
Makila, R M. (1990), Laguerre series approximation of infinite dimensional systems, Automatica, Vol. 26, No. 6, pp. 885–995.
McAulay, R. J. and Johnson, J. R. (1971), Optimal mismatched filter design for radar ranging detection and resolution, IEEE Trans. Information Theory, Vol. IT-17, pp. 696–701.
Nobakt, R. A. and Civanlar, M. R. (1995), Optimal pulse shape design for digital communication systems by projections onto convex sets, IEEE Trans. Comm., Vol 43, pp. 2874–2877.
Pshenichni, B. N. and Danilin, Y. M. (1978), Numerical methods in Extremal Problems, Moscow: Mir Publishers.
Szego, G. (1939), Orthogonal Polynomials, American Mathematical Society Colloquium Publications Volume XXIII, American Mathematical Society Providence, Rhode Island.
Teo, K. L., Cantoni, A. and Lin, X. G. (1994), A new approach to the optimization of envelope-constrained filters with uncertain input, IEEE Trans. Signal processing, Vol. 2, No. 2, pp. 426–429.
Tsang, J., Zang, Z., Teo, K. L. and Cantoni, A. (1999), Dual approach to continuous-time Envelope Constrained Filter Design via Orthonormal Filters, submitted to IEEE Trans. Signal processing.
Vo, B. and Cantoni, A. (2000), Continuous-time Envelope Constrained filter Design via DSP approach, submitted to IEE Proc. — Vision, Image and Signal Processing.
Vo, B. and Cantoni, A.(2000), Continuous-time envelope constrained filter design with input uncertainty, (to be published in IEEE Trans. Circuits & Systems I),
Vo, B., Cantoni, A. and Teo, K. L. (1997), A penalty approach to iterative algorithms for envelope constrained filter design, IEEE Trans. Signal Processing, Vol. 45, No. 7, pp. 1869–1873.
Vo, B., Cantoni, A. and Teo, K. L. (1995), Computational methods for a class of functional inequality constrained optimization problem, World Scientific Series
in Applicable Analysis — Recent Trends in Optimization Theory and Applications, R. P. Agarwal (Eds.), World Scientific Publishing (Singapore), Vol. 5, pp. 447–465.
Vo, B., Cantoni, A. and Teo, K. L. (1997), Envelope constrained filter with linear interpolator, IEEE Trans. Signal Processing. Vol. 45. No. 6, 1405–1415.
Vo, B„ Zang, Z., Cantoni, A. and Teo, K. L. (1995), Continuous-time Envelope Constrained Filter Design via Orthonormal Filters, IEE Proc. — Vision, Image and Signal Processing, Vol. 142, No. 3, pp. 161–168.
Wood, L. C. and Treitel, S. (1975), Seismic signal processing, Proc. IEEE (Special issue on digital signal processing) Vol 63, pp. 649–661.
Zang, Z., Cantoni, A. and Teo, K. L. (1998), Continuous-Time Envelope-Constrained Filter Design via Laguerre Filters and H-infinity optimization methods, IEEE Trans. Signal processing, Vol. 46, No. 10, pp. 2601–2610.
Zang, Z., Cantoni, A., Vo, B, and Teo, K. L. (1996), Continuous-time envelope constrained filter design: Constraint robustness maximization, 4th IMA Conference on Mathematics in Signal Processing, Warwick, UK, pp. 187–200..
Zang, Z., Vo, B., Cantoni, A. and Teo, K. L.(1999), Iterative algorithms for constrained recursive filter design via digital Laguerre networks, IEEE Trans. Circuits & Systems, I, Vol. 46, No. 11, pp. 1342–1348..
Zheng, W. X., Cantoni, A., Vo, B. and Teo, K. L. (1995), Recursive procedures for constrained optimization problems and its application in signal processing, IEE Proc. — Vision, Image and Signal Processing, Vol. 142, No. 3, pp. 161–168.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Vo, B., Cantoni, A. (2001). Envelope Constrained Filter Design: Robustness Issues. In: Yang, X., Teo, K.L., Caccetta, L. (eds) Optimization Methods and Applications. Applied Optimization, vol 52. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3333-4_21
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3333-4_21
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4850-2
Online ISBN: 978-1-4757-3333-4
eBook Packages: Springer Book Archive