The Design of Linear-Phase FIR Multiple-Notch Filters with Variable Notch Frequencies

详细信息    查看全文

• 作者：Wei Xu ; Jiaxiang Zhao ; Hongjie Wang
• 关键词：Multiple ; notch filters ; Variable notch frequencies ; Comb filter ; Linear phase
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：35
• 期：4
• 页码：1199-1211
• 全文大小：1,911 KB
• 参考文献：1.T. Baran, D. Wei, A.V. Oppenheim, Linear programming algorithms for sparse filter design. IEEE Trans. Signal Process. 58, 1605–1617 (2010)MathSciNet CrossRef
  2.G.H. Golub, C.F.V. Loan, Matrix Computations (Johns Hopkins University Press, Baltimore, 2012), pp. 1–784
  3.K. Ichige, M. Iwaki, R. Ishii, Accurate estimation of minimum filter length for optimum FIR digital filters. IEEE Trans. Circuits Syst. II Analog Digit. Signal Process. 47, 1008–1016 (2000)CrossRef
  4.A. Jiang, H.K. Kwan, Y.P. Zhu, Peak-error-constrained sparse FIR filter design using iterative SOCP. IEEE Trans. Signal Process. 60, 4035–4044 (2012)MathSciNet CrossRef
  5.J. McClellan, T. Parks, L. Rabiner, A computer program for designing optimum FIR linear phase digital filters. IEEE Trans. Audio Electroacoust. 21, 506–526 (1973)CrossRef
  6.S.C. Pei, C.C. Tseng, IIR multiple notch filter design based on allpass filter. IEEE Trans. Circuits Syst. II Analog Digit. Signal Process. 44, 133–136 (1997)CrossRef
  7.C.C. Tseng, S.C. Pei, Design of an equiripple FIR notch filter using a multiple exchange algorithm. Signal Process. 75, 225–237 (1999)CrossRef MATH
  8.M. Vlcek, P. Zahradnik, Digital multiple notch filters performance, in Proceedings of the 15th European Conference on Circuit Theory and Design, I (2001), pp. 49–52
  9.P. Zahradnik, M. Vlcek, R. Unbehauen, Design of optimal comb FIR filters-speed and robustness. IEEE Signal Process. Lett. 16, 465–468 (2009)CrossRef
  10.P. Zahradnik, M. Vlcek, Analytical design method for optimal equiripple comb FIR filters. IEEE Trans. Circuits Syst. II Express Br. 52, 112–115 (2005)CrossRef
  11.P. Zahradnik, M. Vlcek, An analytical procedure for critical frequency tuning of FIR filters. IEEE Trans. Circuits Syst. II Express Br. 53, 72–76 (2006)CrossRef
  12.P. Zahradnik, M. Vlcek, Note on the design of an equiripple DC-notch FIR filter. IEEE Trans. Circuits Syst. II Express Br. 54, 196–199 (2007)CrossRef
  
• 作者单位：Wei Xu (1)
  Jiaxiang Zhao (2)
  Hongjie Wang (3)
  
  1. School of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin, 300387, China
  2. College of Electronic Information and Optical Engineering, Nankai University, Tianjin, 300071, China
  3. College of Information Technical Science, Nankai University, Tianjin, 300071, China
  
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878

文摘

In this paper, a paradigm is developed to design the linear-phase FIR multiple-notch filters with variable notch frequencies. The design procedure can be proceeded through two steps: First, a linear-phase narrow-band low-pass filter met the given bandwidth and stopband ripple specifications is designed. Second, a tuning procedure is applied to the computed low-pass filter to yield the desired multiple-notch filter. When the notch frequencies are varied, the same tuning procedure can be employed to render the multiple-notch filter with the new set of the notch frequencies. The tuning procedure employed reduces the computational complexity of designing the multiple-notch filter with the new set of the notch frequencies. The simulation results demonstrate the effectiveness of our scheme.