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FIR Filter Design Using Distributed Maximal Flatness Method

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Treść / Zawartość
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Warianty tytułu
Konferencja
International Conference on Signals and Electronic Systems ICSES (18-21.09.2012) ; Wrocław, Poland
Języki publikacji
EN
Abstrakty
EN
In the paper a novel method for filter design based on the distributed maximal flatness method is presented. The proposed approach is based on the method used to design the most common FIR fractional delay filter - the maximally flat filter. The MF filter demonstrates excellent performance but only in a relatively narrow frequency range around zero frequency but its magnitude response is no greater than one. This "passiveness" is the reason why despite of its narrow band of accurate approximation, the maximally flat filter is widely used in applications in which the adjustable delay is required in feedback loop. In the proposed method the maximal flatness conditions forced in standard approach at zero frequency are spread over the desired band of interest. In the result FIR filters are designed with width of the approximation band adjusted according to needs of the designer. Moreover a weighting function can be applied to the error function allowing for designs differing in error characteristics. Apart from the design of fractional delay filters the method is presented on the example of differentiator, raised cosine and square root raised cosine FIR filters. Additionally, the proposed method can be readily adapted for variable fractional delay filter design regardless of the filter type.
Twórcy
autor
  • Faculty of Electronics, Telecommunications and Informatics, Gdańsk University of Technology, 11/12 G. Narutowicza Street, 80-233 Gdańsk Wrzeszcz, Poland
Bibliografia
  • [1] M. Blok, “Passive variable fractional delay filter design using distributed maximal flatness method,” in Proc. ICSES’2012, 2012.
  • [2] T. I. Laakso, V. Välimäki, M. Karjalainen, and U. K. Laine, “Splitting the unit delay - tools for fractional delay filter design,” IEEE Signal Processing Magazine, vol. 13, no. 1, pp. 30-60, 1996.
  • [3] E. Hermanowicz, Special descrete-time filters and applications. EXIT, 2005.
  • [4] C.-C. Tseng, “Designs of fractional delay filter, Nyquist filter, lowpass filter and diamond-shaped filter,” Signal Process., vol. 87, pp. 584-601, 2007.
  • [5] S.-C. Pei and Y. Lai, “Closed form variable fractional time delay using FFT,” IEEE Signal Process. Lett., vol. 19, no. 5, pp. 299-302, May 2012.
  • [6] A. Yardim, G. D. Cain, and A. Lavergne, “Performance of fractional delay filters using optimal offset windows,” in Proc. ICASSP’97, vol. 3, Apr. 21-24, 1997, pp. 2233-2236.
  • [7] A. Yardim, G. D. Cain, and P. Henry, “Optimal two-term offset windowing for fractional delay,” Electron. Lett., vol. 32, no. 6, pp. 526-527, Mar. 1996.
  • [8] T. I. Laakso, T. Saramäki, and G. D. Cain, “Asymmetric Dolph- Chebyshev, Saramäki, and transitional windows for fractional delay FIR filter design,” in Proc. MWSCAS’95, Aug. 1995, pp. 580 - 583.
  • [9] L. J. Karam and J. H. McClellan, “Complex Chebyshev approximation for FIR filter design,” IEEE Trans. Circuits Syst. II, vol. 42, no. 3, pp. 207-216, Mar. 1995.
  • [10] M. Blok, “Optimal fractional sample delay filter with variable delay,” in OSEE 2002, TechOnLine, Bedford, Massachusetts, USA, Mar. 18, 2002. [Online]. Available: http://www.eetimes.com/design/analogdesign/4018005
  • [11] P. J. Kootsookos and R. C. Williamson, “FIR approximation of fractional sample delay systems,” IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol. 43, no. 3, pp. 269-271, Mar. 1996.
  • [12] E. Hermanowicz, “Explicit formulas for weighting coefficients of maximally flat tunable FIR delayers,” Electron. Lett., vol. 28, no. 20, pp. 1936-1937, Sep. 1992.
  • [13] A. G. Dempster and N. P. Murphy, “Lagrange interpolator filters and binomial windows,” Signal Process., vol. 76, no. 1, pp. 81-91, Jul. 1999.
  • [14] M. M. Jahani Yekta, “A frequency domain proof for the equivalence of the maximally flat FIR fractional delay filter and the Lagrange interpolator,” Digit. Signal Process., vol. 21, no. 1, pp. 13-16, Sep. 1992.
  • [15] V. Välimäki, “Discrete-time modeling of acoustic tubes using fractional delay filters,” Ph. D. dissertation, Helsinki University of Technology, Faculty of Electrical Engineering (now Department of Electrical and Communications Engineering), Laboratory of Acoustics and Audio Signal Processing, Dec. 18 1995.
  • [16] M. Blok, M. Rojewski, and A. Matyjas, “Fractional delay filter design with non-uniform frequency sampling in frequency domain,” Zeszyty Naukowe Wydziału ETI PG, vol. 9, pp. 159-168, 2006, in Polish.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0058-0022
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