Adaptive derivative estimation for delay-constrained acceleration measurement

The well-known noise problem in digital differentiation is addressed by means of using adaptive digital filtering for signal pre-processing. Rapidly responding differentiators with low-noise output can be constructed by using the adaptive filter in a predictor configuration. As the prefilter is adaptive, the approximation is more flexible than polynomial fitting. The recursive least-squares adaptive algorithm is used for prediction.

[1]  R.D. Lorenz,et al.  Design principles and implementation of acceleration feedback to improve performance of DC drives , 1990, Conference Record of the 1990 IEEE Industry Applications Society Annual Meeting.

[2]  Seppo J. Ovaska,et al.  Delayless acceleration measurement method for elevator control , 1998, IEEE Trans. Ind. Electron..

[3]  Odile Macchi,et al.  Adaptive Processing: The Least Mean Squares Approach with Applications in Transmission , 1995 .

[4]  Seppo J. Ovaska,et al.  Predictive synchronization and restoration of corrupted velocity samples , 1994 .

[5]  J. W. Adams,et al.  A new design technique for maximally linear differentiators , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[6]  Markku Renfors,et al.  Recursive implementation of FIR differentiators with optimum noise attenuation , 1996 .

[7]  S. C. Dutta Roy,et al.  Design of digital differentiators for low frequencies , 1988 .

[8]  Bengt Carlsson,et al.  Optimal differentiation based on stochastic signal models , 1991, IEEE Trans. Signal Process..

[9]  V. Ramachandran,et al.  Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique , 1994, IEEE Trans. Signal Process..

[10]  Wolfgang Fuerst,et al.  Introductory digital signal processing with computer applications , 1989 .

[11]  Olli Vainio.  Adaptive derivative estimation for DSP-based acceleration measurement , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[12]  Rik Pintelon,et al.  Real-time integration and differentiation of analog signals by means of digital filtering , 1990 .

[13]  Bernard Widrow,et al.  Adaptive Signal Processing , 1985 .

[14]  Kouhei Ohnishi,et al.  A novel rotary acceleration sensor , 1995 .

[15]  L. Rabiner,et al.  On the behavior of minimax relative error fir digital differentiators , 1974 .