Abstract
This paper first shows how to model an odd-order variable filter (OOVF) such that its stability is absolutely guaranteed under any variable circumstances, and then conducts computer simulations on the optimal design of an odd-order variable bandpass filter by employing the stable mathematical model. Finally, computer simulation results are provided to show the design performance as well as the guaranteed stability. The primary objective of this paper is to demonstrate that the presented mathematical model is useful in the computer design simulations that will never violate the stability conditions. As a result, numerical computer simulations can be conducted without concerning the stability issue. That is, the computer simulations utilizing the stabilized mathematical model will absolutely produce a stable OOVF.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Soontornwong, P., Chivapreecha, S.: Pascal-interpolation-based noninteger delay filter and low-complexity realization. Radioengineering 24(4), 1002–1012 (2015)
Deng, T.-B.: Discretization-free design of variable fractional-delay FIR digital filters. IEEE Trans. Circ. Syst. II Analog Digit. Sig. Process. 48(6), 637–644 (2001)
Deng, T.-B., Lian, Y.: Weighted-least-squares design of variable fractional-delay FIR filters using coefficient-symmetry. IEEE Trans. Sig. Process. 54(8), 3023–3038 (2006)
Zarour, R., Fahmy, M.M.: A design technique for variable digital filters. IEEE Trans. Circ. Syst. 36(11), 1473–1478 (1989)
Deng, T.-B.: Design of recursive 1-D variable filters with guaranteed stability. IEEE Trans. Circ. Syst. II Analog Digit. Sig. Process. 44(9), 689–695 (1997)
Deng, T.-B.: New method for designing stable recursive variable digital filters. Sig. Process. 64(2), 197–207 (1998)
Deng, T.-B.: An improved method for designing variable recursive digital filters with guaranteed stability. Sig. Process. 81(2), 439–446 (2001)
Deng, T.-B.: Stability trapezoid and stability-margin analysis for the second-order recursive digital filter. Sig. Process. 118(1), 97–102 (2016)
Deng, T.-B.: Generalized stability-triangle for guaranteeing the stability-margin of the second-order digital filter. J. Circ. Syst. Comput. (JCSC) 25(8), 1–13 (2016)
Deng, T.-B.: Design of recursive variable-digital-filters with theoretically-guaranteed stability. Int. J. Electron. 103(12), 2013–2028 (2016)
Deng, T.-B.: Stability-constrained variable mathematical model for odd-order recursive variable filters. In: Proceedings of 2017 IEEE ECTI-CON 2017, Phuket, Thailand, 27–30 June 2017
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Deng, TB. (2017). Design Simulations of Odd-Order Variable Filters Utilizing the Stabilized Mathematical Model. In: Mohamed Ali, M., Wahid, H., Mohd Subha, N., Sahlan, S., Md. Yunus, M., Wahap, A. (eds) Modeling, Design and Simulation of Systems. AsiaSim 2017. Communications in Computer and Information Science, vol 752. Springer, Singapore. https://doi.org/10.1007/978-981-10-6502-6_20
Download citation
DOI: https://doi.org/10.1007/978-981-10-6502-6_20
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6501-9
Online ISBN: 978-981-10-6502-6
eBook Packages: Computer ScienceComputer Science (R0)