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Electronic Devices

Digital Bandpass IIR Filers with High Selectivity

Peter Apostolov
The Department of Wireless Communications and Broadcasting at the College of Telecommunications and Posts, Sofia 1700 1 Acad Stefan Mladenov St, Bulgaria

Abstract: This paper proposes an optimal third-degree polynomial, which approximates KroneckerÃ¢â‚¬â„¢s delta function with high precision. The polynomial is obtained by a new approximation method, called Ã¢â‚¬Å“method with compressed cosinesÃ¢â‚¬Â. The method is based on ChebyshevÃ¢â‚¬â„¢s optimality norm. The polynomial is used for narrow bandpass IIR filter design. The filterÃ¢â‚¬â„¢s selectivity depends on the parameter Q without increasing the polynomialÃ¢â‚¬â„¢s order. With the proposed method an IIR filter with 5(6) multipliers, a very narrow passband and a high stopband attenuation can be designed.

Keywords: IIR Digital Filters, Frequency Response, Polynomial Approximation Digital Bandpass IIR Filers with High Selectivity

DOI:https://doi.org/10.6025/ed/2023/12/2/45-53

Full_Text PDF 1.92 MB Download: 57 times

References:

[1] Sendov, B. (1990). Hausdorff Approximations. Kluwer Academic Publishers.

[2] Parks, T. W., McClellan, J. H. (1972). A Program for the Design of Linear Phase FIR Digital Filters. IEEE Transactions on Audio
and Electroacoustics, 20(3), 196-199.

[3] Porat, B. (1997). A Course in Digital Signal Processing. Wiley.

[4] Daniels, R. (1974). Approximation Methods for Electronic Filter Design. McGraw Hill.

[5] Schaumann, R. van Valkenburg, M. E. (2001). Design of Analog Filters. Oxford University Press.

[6] Apostolov, P. S. (2011). Linear Equidistant Antenna Array with Improved Selectivity. IEEE Transactions on Antennas and
Propagation, 59(10), 3940-3943.

[7] Apostolov, P. S. (2011). Method for FIR filter design with compressed cosine using Chebyshev’s norm. Signal Processing,
91(11), 2589-2594

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