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Design of transmultiplexer integer filters

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The designing of transmultiplexer systems relies on determining filters for the transmitter and receiver sides of multicarrier communication system. The perfect reconstruction conditions lead to the bilinear equations for FIR filter coefficients. Generally there is no way of finding all possible solutions. This paper describes methods of finding a large family of solutions. Particular attention is devoted to obtaining algorithms useful in fixed-point arithmetic needed to design the integer filters. As a result, the systems perform perfect reconstruction of signals. Additionally, a simple method is presented to transform any transmultiplexer into an unlimited number of different transmultiplexers. Finally, two examples of integer filters that meet perfect reconstruction conditions are shown. The first illustrates a FIR filter which does not require multiplications. The frequency properties of filters and signals are discussed for the second example.
Rocznik
Strony
223--238
Opis fizyczny
Bibliogr. 26 poz., rys., wzory
Twórcy
autor
  • Faculty of Computer Science, Electronics and Telecommunications, AGH University of Science and Technology, Kraków, Poland
autor
  • Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland
Bibliografia
  • [1] A. N. Akansu, P. Duhamel, X. Lin and M. Courville: Orthogonal transmultiplexers in communication: a review, IEEE Trans. Signal Processing, 46(4), (1998), 979-995.
  • [2] P. P. Vaidyanathan: Multirate systems and filter banks, pp. 148-151, 259-266, NJ: PTR Prentice Hall 1993.
  • [3] M. Vetterli and J. Kovacevic: Wavelets and subband coding, pp. 69-72, 185–187, NJ: Prentice Hall 1995.
  • [4] F. Cruz-Roldán, M. Blanco-Velasco and J. I. G. Llorente: Zeropadding or cyclic prefixfor MDFT-based filter bank multicarrier communications, Signal Procesing, 92 (2012), 1646-1657.
  • [5] R. K. Soni, A. Jain and R. Saxena: A design of IFIR prototype filter for Cosine Modulated Filterbank and Transmultiplexer, AEU International Journal of Electronics and Communications, 67(2), (2013), 130-135.
  • [6] A. Vishwakarma, A. Kumar and G. K. Singh: A prototype filter design for cosine modulated transmultiplexer using weighted constrained least squares technique, AEU International Journal of Electronics and Communications, 69(6), (2015), 915-922.
  • [7] T. S. Bindiya and E. Elias: Meta-heuristic evolutionary algorithms for the design of optimal multiplier-less recombination filter banks, Information Science, 339 (2016) 31-52.
  • [8] S. Glesner: Finite integer computations: An algebraic foundation for their correctness, Formal Aspects of Computing, 18(2), (2006), 244-262.
  • [9] M. Ziółko, M. Nowak and B. Ziółko: Transmultiplexer Integer-to-Integer Filter Banks, Proc. of the First IEEE & IFIP International Conference in Central Asia on Internet, the Next Generation of Mobile, Wireless and Optical Communications Networks, Bishkek 2005.
  • [10] B. Ziółko, M. Ziółko, M. Nowak and P. Sypka: A Suggestion of Multiple-Access Method for 4G-System, Proc. of the 47th International Symposium ELMAR-2005 on Multimedia Systems and Applications, Zadar 2005.
  • [11] M. Ziółko and M. Nowak: Integer-to-Integer Filters in Transmultiplexer System, Proc. of the 12th IEEE Symposium on Computers and Communications, Aveiro 2007.
  • [12] A. D. Poularikas (Ed.): The Transforms and Applications handbook. CRC Press, Inc. 1996, pp. 388-389.
  • [13] A. Mertins: Memory truncation and crosstalk cancellation in transmultiplexers, IEEE Communications Letters, 3(6), (1999), 180-182.
  • [14] B. S. Chen and L. M. Chen: Optimal reconstruction in multirate transmultiplexer systems under channel noise: Wiener separation filtering approach, Signal Processing, 80 (2000), 637-657.
  • [15] L. Chen, K. P. Chan, T. Q. Nguyen and X. H. DAI: Algorithm for the design of transmultiplexers with time-frequency spread criteria, Electronics Letters, 36(17), (2000), 1499-1500.
  • [16] T. Liu and T. Chen: Optimal design of multi-channel transmultiplexers, Signal Processing, 80(10), (2000), 2141-2149.
  • [17] T. Liu and T. Chen: Design of multichannel nonuniform transmultiplexers using general building, IEEE Trans. Signal Processing, 49(1), (2001), 91-99.
  • [18] F. Cruz-Roldan, A. M. Bravo-Santos, P. Martin-Martin and R. Jimenez-Martinez: Design of multi-channel near-perfect-reconstruction transmultiplexers using cosine-modulated filter banks, Signal Processing 2003;83,5:1079-91.
  • [19] X. M. Xie, S. C. Chan and T. I. Yuk: Design of perfect-reconstruction nonuniformfilter banks with flexible rational sampling factors, IEEE Trans. Circuits and Systems, 52(9), (2005), 1965-1981.
  • [20] Y. Shi Y, F. Ding and T. Chen: 2-norm based recursive design of transmultiplexers with designable filter lengt, Circuits Systems Signal Processing, 25(4), (2006), 447-462.
  • [21] A. Eghbali, H. Johansson and P. Lowenborg: A multimode transmultiplexer structure, IEEE Trans. Circuits and Systems, 55(3), (2008), 279-283.
  • [22] D. C. Chang and H. C. Chiu: A stabilized multichannel fast RLS algorithm for adaptive transmultiplexer receivers. Circuits Systems Signal Processing 2009;28,6:845-67.
  • [23] T. Ihalainen, A. Viholainen, T. H. Stitz and M. Renfors: Generation of Filter Bank-Based Multicarrier Waveform Using Partial Synthesis and Time Domain Interpolation, IEEE Transations on Circuits and Systems I-Regular Papers, 57(7), (2010), 1767-1778.
  • [24] J. Ciosmak: Efficient algorithm for calculating nonseparable two-dimensional filter banks for transmultiplexer systems, Przegląd Elektrotechniczny, 87(11), (2011), 217-220.
  • [25] R. K. Soni, A. Jain and R. Saxena: An optimized transmultiplexer using combinational window functions, Signal Image and Video Processing, 5(3), (2011), 389-397.
  • [26] A. Eghbali, H. Johansson and P. Lowenborg: Reconfigurable nonuniform transmultiplexers using uniform modulated filter banks, IEEE Transactions on Circuits and Systems I-Regular Papers, 583 (2011), 539-547.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-b683bbc3-c444-459c-bbeb-de873441b964
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