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Design of three-dimensional adaptive IIR notch filters

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Abstract

This paper investigates a realization of a three-dimensional (3-D) adaptive notch filter. The procedures are mainly divided into two parts: frequency-detecting and sinusoidal interference removal. The detections are based on adaptive line enhancer on infinite impulse response (IIR) lattice structure. In the interference removal part, a non-separable version of a 3-D notch filter is effectively applied. The magnitude response of a 3-D adaptive IIR notch filter is illustrated. At the end of the paper, the implementation of an IIR notch filter on a 3-D image is also conducted in order to show how to remove a sinusoidal interference superimposed on a 3-D image.

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References

  • Cho N. I., Lee S. U. (1993) On the adaptive lattice notch filter for the detection of sinusoids. IEEE Transactions on Circuits and Systems II 40: 405–416

    Article  Google Scholar 

  • Cho N. I., Choi C. H., Lee S. U. (1989) Adaptive line enhancement by using an IIR latice notch filter. IEEE Transactions on Acoustics, Speech, and Signal Processing 37: 585–589

    Article  Google Scholar 

  • Deng T. B. (1996) Decomposition-based design of linear phase 3-D digital filters. Signal Processing 54: 119–128

    Article  Google Scholar 

  • Dragosevic M. V., Stankovic S. S. (1995) An adaptive notch filter with improved tracking properties. IEEE Transactions on Acoustics, Speech, and Signal Processing 43: 2068–2078

    Article  Google Scholar 

  • Friedlander B. (1982) Lattice filters for adaptive processing. IEEE Transactions on Acoustics, Speech, and Signal Processing 70: 829–867

    Google Scholar 

  • Hinamoto T., Nishimura N. I. S., Doi A. (2002) Design of two-dimensional adaptive digital notch filters. Multidimensional Systems and Signal Processing 13: 407–417

    Article  MathSciNet  MATH  Google Scholar 

  • Horvath, S. (1980). Lattice form adaptive recursive digital filters: Algorithms and applications. In Proceedings of IEEE international symposium on circuits and systems, pp.128–133.

  • Makhoul J., Cosell L. K. (1981) Adaptive lattice analysis of speech. IEEE Transactions on Acoustics, Speech, and Signal Processing ASSP-29: 654–658

    Article  Google Scholar 

  • Pei S. C., Wu C. L., Ding J. J. (2003a) Simplified structures for two-dimensional adaptive notch filters. IEEE Transactions on Circuits and Systems I 4: 416–419

    Google Scholar 

  • Pei S. C., Chang J. H., Ding J. J. (2003b) Quaternion matrix singular value decomposition and its applications for color image processing. IEEE Transactions on Circuits and Systems I 1: 805–808

    Google Scholar 

  • Pei S. C., Lu W. S., Tseng C. C. (1994) Corrections on two dimensional IIR digital notch filter design. IEEE Transactions on Circuits and Systems II 41: 630

    Article  Google Scholar 

  • Pei S. C., Lu W. S., Tseng C. C. (1997) Analytical two-dimensional IIR notch filter design using outer product expansion. IEEE Transactions on Circuits and Systems II 44: 765–768

    Article  Google Scholar 

  • Pei S. C., Lu W. S., Tseng C. C. (1998) Two-dimensional FIR notch filter design using singular value decomposition. IEEE Transactions on Circuits and Systems I, 45: 290–294

    Article  Google Scholar 

  • Pei S. C., Tseng C. C. (1994) Two dimensional IIR digital notch filter design. IEEE Transactions on Circuits and Systems II 41: 227–231

    Article  Google Scholar 

  • Piyachaiyakul, N., & Charoenlarpnopparut, C. (2011a). Analysis of sub-band filtering technique for two-dimensional adaptive notch filter, nDS’11 the 7th international workshop on multidimensional (nD) systems.

  • Piyachaiyakul N., Charoenlarpnopparut C. (2011b) Non-separable three-dimensional IIR notch filter design using outer product expansion. IEEE Transactions on Circuits Systems II, 58(9): 605–609

    Article  Google Scholar 

  • Rao D. V. B., Kuig S. Y. (1984) Adaptive notch filtering for the retrieval of sinusoids in noise. IEEE Transactions on Acoustics, Speech, and Signal Processing ASSP-32: 791–802

    Article  Google Scholar 

  • Soderstrand M. A., Johnson T. G., Strandberg R. H., Loomis H. H., Rangarao K. V. (1997) Suppression of multiple narrow-band interference using real-time adaptive notch filters. IEEE Transactions on Circuits and Systems II 44: 217–225

    Article  Google Scholar 

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Authors and Affiliations

  1. School of ICT, Sirindhorn International Institute of Technology, Thammasat University, 131 Moo 5, Tiwanont Road, Bangkadi Muang, Pathum Thani, 12000, Thailand

    N. Piyachaiyakul & C. Charoenlarpnopparut

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  1. N. Piyachaiyakul
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  2. C. Charoenlarpnopparut
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Correspondence to C. Charoenlarpnopparut.

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Piyachaiyakul, N., Charoenlarpnopparut, C. Design of three-dimensional adaptive IIR notch filters. Multidim Syst Sign Process 24, 435–446 (2013). https://doi.org/10.1007/s11045-011-0170-3

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  • DOI: https://doi.org/10.1007/s11045-011-0170-3

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