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Square Root Raised Cosine Fractionally Delaying Nyquist Filter : Design and Performance Evaluation

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EN
Abstrakty
EN
In this paper we propose a discrete-time FIR (Finite Impulse Response) filter which is meant to be applied as a square root Nyquist filter and fractional delay filter simultaneously. The filter enables to substitute for a cascade of square root raised cosine (SRRC) Nyquist filter and fractional delay filter in one device/algorithm. The aim is to compensate for transmission delay in digital communication system. Performance of the filter in the role of a matched filter is evaluated using a newly defined energetic ISI (Intersymbol Interference) measure and ability of the filter to completely eliminate the ISI involved by fractional delay of symbol shaping filter in transmitter or by channel delay. Considerations and results of the contribution are documented by suitable eye-diagrams and the SRRC filter responses.
Twórcy
  • Faculty of Electronics, Telecommunication and Informatics, Technical University of Gdansk, Poland
autor
  • Faculty of Electronics, Telecommunication and Informatics, Technical University of Gdansk, Poland
Bibliografia
  • [1] D. W. Tufts, „Nyquist’s problem - The joint optimization of transmitter and receiver in pulse amplitude modulation”, Proc. IEEE, vol. 53, pp. 248-259, Mar. 1965.
  • [2] L. E. Franks, „Futher results on Nyquist’s problem pulse transmission”, IEEE Trans. Commun. Technology, vol. COM-16, pp. 337-340, Apr. 1966.
  • [3] R. W. Lucky, J. Salz, and E. S. Weldon, Jr., Principles of Data Communication, McGraw-Hill, New York, 1968.
  • [4] L. E. Franks, Signal Theory, Prentice Hall, Englewood Cliffs, New Jork, 1969.
  • [5] J. D. Gibson (Ed), The Communications Handbook, CRC Press, 2002, 2nd Ed., Chapter 23.7, p. 23-5.
  • [6] E. Hermanowicz, Special Discrete-Time Filters and Applications, EXIT, Warsaw, 2005.
  • [7] F. J. Harris, Multirate Signal Processing for Communication Systems, Prentice Hall PTR, 2004.
  • [8] C-C. Tseng, „Designs of fractional delay filter, Nyquist filter, lowpass filter and diamond-shaped filter”, Signal Processing, vol. 87, pp. 584-601, 2007.
  • [9] F. Mintzer, „On half-band, third-band and Nth band FIR filters and their design”. IEEE Trans. on Signal Processing, vol. ASSP-30, No 5, pp. 734-738, 1982.
  • [10] P.P. Vaidyanathan, Multirate Systems and Filter Banks, Prentice Hall, 1993.
  • [11] D.R. Smith, Digital Transmission Systems, Kluwer Academic Publishers, 3rd Ed., Chaper 5, p. 5.6, pp. 285-288, 2003.
  • [12] E. Hermanowicz and M. Rojewski, „On designing a Nyquist FIR filter of fractional group delay and phase delay”, Elektronika Konstrukcje Technologie Zastosowania, No 4, pp. 17-20, 2014.
  • [13] A. Ashafi and F. J. Harris, “A novel square-root Nyquist filter design with prescribed ISI energy”, Signal Process., vol. 93, pp. 2626-2635, 2013.
  • [14] F. J. Harris, K. C. Dick, K. Moerder and S. Seshagiri, “An improved square-root Nyquist shaping filter,” in Proc. Software Defined Radio, SDR’05 (conference), pp. 15-17, 2005.
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