A New Filter Implementation Strategy for Lagrange Interpolation

Fractional delays (FD) are used in DSP applications where accurate time delays are required. This paper introduces a new implementation technique for a maximally flat FIR FD filter, or Lagrange interpolator. The number of multiplications is reduced when compared with the direct-form FIR implementation plus coefficient update using Nth-order polynomials. The new structure is well-suited to implementation of a time-varying fractional delay.

[1]  S. C. Dutta Roy,et al.  A note on the fir approximation of a fractional sample delay , 1993, Int. J. Circuit Theory Appl..

[2]  H. Strube Sampled−data representation of a nonuniform lossless tube of continuously variable length , 1975 .

[3]  Matti Karjalainen,et al.  Articulatory speech synthesis based on fractional delay waveguide filters , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  G. Oetken A new approach for the design of digital interpolating filters , 1979 .

[5]  José M. Tribolet,et al.  Improved pitch prediction with fractional delays in CELP coding , 1989, International Conference on Acoustics, Speech, and Signal Processing.

[6]  Matti Karjalainen,et al.  Fractional delay digital filters , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[7]  Unto K. Laine,et al.  A model for real-time sound synthesis of guitar on a floating-point signal processor , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[8]  Julius O. Smith,et al.  Extensions of the Karplus-Strong Plucked-String Algorithm , 1983 .

[9]  E. Hermanowicz,et al.  Explicit formulas for weighting coefficients of maximally flat tunable FIR delayers , 1992 .

[10]  Lars Erup,et al.  Interpolation in digital modems. II. Implementation and performance , 1993, IEEE Trans. Commun..

[11]  Julius Smith,et al.  Adaptive Interpolated Time-Delay Estimation , 1985, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Andrzej Tarczynski,et al.  Sampling rate conversion using fractional-sample delay , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[13]  C. W. Farrow,et al.  A continuously variable digital delay element , 1988, 1988., IEEE International Symposium on Circuits and Systems.