Cover
Vol. 11 No. 1 (2011)

Published: May 31, 2011

Pages: 123-134

Original Article

A Simple Analytic Design Procedure for Lattice Wave Digital Filters with Approximate Linear Phase

Abstract

A simple analytic design procedure for Lattice Wave Digital Filters (LWDFs) is presented with approximate linear phase. The design is started by replacing one of the two all-pass filter branches in LWDF with a pure delay and terminated by some analytic design formulas. Using Matlab 7.4, several design examples of the odd order type utilizing such procedure are given for verifications.

References

  1. A. Fettweis, "Wave Digital Filters; Theory and Practice", Proc. IEEE, Vol. 74, No. 2, PP. 270-327, Feb., 1986.
  2. K. Palmkvist, P. Sandberg, M. Vesterbacka and L. Wanhammar, "Digital IF Filtersfor Mobile Radio ", Department of Electrical Engineering, Linkِping University, S-581 83 Linkِping, Sweden,1995.on www.es.isy.liu.se/publications/papers_and_reports/1995/IF_Filter_NRS95.pdf
  3. K. Venkat," Wave Digital Filtering Using the MSP430", Texas Instruments Application Report SLAA331–Sep., 2006.
  4. Hawk Technologies, "Wave Digital Filtering", Hawk Technologies (P) Ltd, Embedded Project Topics,144, Greams Road,Chennai-600006.on www.hawkprojects.com/Files/Embedded%20Project%20Topics.pdf
  5. R. Kammel and K. Venkat, " A Simple Glass Breakage Detector Using the MSP430", Texas Instruments Application Report SLAA351–Apr., 2007.
  6. H. Johansson and L. Wanhammar, " Design of Bireciprocal Linear Phase Lattice Wave Digital Filters", Department of Electrical Engineering, Linköping University, S-581 83 Linköping, Sweden, 1996.on 130.236.48.53/publications/papers_and_reports/1996-R-1877.pdf
  7. H. Johansson, K. Palmkvist, M. Vesterbacka and L. Wanhammar, "High-Speed Lattice Wave Digital Filters for Interpolation and Decimation", Department of Electrical Engineering, Linkِping University, S-581 83 Linkِping SWEDEN, 1996. on www.es.isy.liu.se/publications/papers_and_reports/1996/Interpol_Decimate_ RVK96.pdf
  8. O. Gustafsson and L. Wanhammar, "Optimal Logic Level Pipelining for Digit-Serial Implementation of Maximally Fast Recursive Digital Filters", Department of Electrical Engineering, Linköping University, SE-581 83 Linköping, SWEDEN,2002.on 130.236.48.53/publications/papers_and_reports/2002/oscarg_RVK021_RXXXX.pdf
  9. P. Nilsson, M. Torelson, M. Vesterbacka and L. Wanhammar " A Bit Serial Realization of Lattice Wave Digital Filters for Intermediate Frequency Filter", 1993 IEEE Proceeding, asic 93, on www.es.lth.se/home/peter/html/papers-pdf/peter-asic93.pdf
  10. C. Jin-Gyun, K. Hojun, and K.K. Parhi, "Pipelined Lattice WDF Design for Wideband Filters", IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Vol. 42, Issue 9, pp. 616 – 618, Sep., 1995.
  11. J. Yli-Kaakinen and T. Saramaki, " An Efficient Algorithm for the Design of Lattice Wave Digital Filters with Short Coefficient Wordlength", Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, 1999. ISCAS apos: 99. Vol. 3, pp. 443 - 448 , July, 1999.
  12. R. Nouta and H. J. Lincklaen Arriëns, "Design and FPGA-Implementa- tion of Wave Digital Bandpass Filters with Arbitrary Amplitude Transfer Characteristics", CAS section, Department of Micro-electronics, Faculty of EEMCS, Delft University of Technology, Mekelweg 4, 2628 CD Delft, the Netherlands, 2003. on ens.ewi.tudelft.nl/~huib/pubs/pr03_lwdf6.pdf
  13. K. Ulrich, "Wave Digital Filtering for TI’s Sensor Signal Processor MSP430", Texas Instruments Technical Journal, Vol. 11, No. 6, pp. 65-83, 1994.
  14. L. Liu, T. Yoshino, S. Sprouse and R. Jain, "Computer-Aided Design of High-Speed Lattice Wave Digital Filter Integrated Circuits", Proceedings of 1991 International Conference on Acoustics, Speech, and Signal Processing, ICASSP-91, IEEE Computer Society Washington, DC, USA, pp. 1229 - 1232 , 1991.
  15. S. A. Samad and D. Isa, "Pulse Shaping Wave Digital Filters for Radiation Spectroscopy", European Journal of Scientific Research Volume 17, No. 1,pp. 11-24, April, 2007.
  16. S. Damjanovic, L. Milic and T. Saramaki, "Frequency Transformations in Two-Band Wavelet IIR Filter Banks ", EUROCON 2005; The International Conference on Computer as a Tool, Vol. 1, pp. 88 –91, 2005.
  17. L. Gazsi. "Explicit Formulas for Lattice Wave Digital Filters", IEEE Trans. on Circuits and Systems, Vol. CAS-32, No. 1, PP.68-88, 1985.
  18. J. Vollmer, "Design of Lattice Wave Digital Filter Banks", Conference Record of the Thirty-Second Asilomar Conference on Signals, Systems & Computers, Vol. 2, pp. 1378-1380, Pacific Grove, CA, USA, 1-4 Nov., 1998.
  19. I. F. Tarrad and T. Henk, "Lattice Wave Digital Filter Design for Arbitrarily Specified Amplitude Characteristics by Phase Approximation", ISCAS '94, 1994 IEEE International Symposium on Circuits and Systems, Vol. 2, pp. 429-432, London, UK, 30 May-2 June, 1994.
  20. H. Johansson and L. Wanhammar, "Wave Digital Filter Structure for High-Speed Narrow-Band and Wide-Band Filtering", IEEE. Transitions on Circuit and Systems. Vol.46.,No.6., June, 1999.
  21. H. Johansson and L. Wanhammar, "Design of Linear- Phase Lattice Wave Digital Filter", Proc. Int. Symp. on Circuits and Systems, ISCA 2000, Sydney, Australia, May, 2000.
  22. H. Johansson, "A Class of High-Speed Wide-Band Frequency-Response Masking Recursive Digital Filters with Approximately Linear Phase", IEEE Nordic Signal Proc. Symp., Kolm. Rden, PP. 319-322, June, 2000.
  23. H. Johansson, "Multirate Approxim- ately Linear Phase IIR Filter Structure for Arbitrary Bandwidths,” Proc. IEEE Int. Symp. on Circuits and Systems, Phoenix, USA, May, 2002.
  24. H. J. Lincklaen Arriëns, "Calculation of the Coefficients of A Lattice Wave Digital Filter", CAS section, Department of Micro-electronics, Faculty of EEMCS, Delft University of Technology, Mekelweg 4, 2628 CD Delft, the Netherlands, 14 Oct., 2003. on ens.ewi.tudelft.nl/~huib/pubs/LWDF_coeffs.pdf;