A KIS solution for high fidelity interpolation and resampling of signals

A keep-it-simple (KIS) solution is introduced that interpolates a signal up to an arbitrary accuracy. It consists of interpolating the complex envelopes at the output of a perfect-reconstruction filter-bank: if K subbands are used, the proposed interpolation scheme is shown to have a similar figure of merit as if the signal was initially oversampled by factor K at the acquisition stage, yet without the storage burden implied by the latter method.

[1]  Thierry Blu,et al.  Quantitative Fourier analysis of approximation techniques. II. Wavelets , 1999, IEEE Trans. Signal Process..

[2]  Robert B. Randall,et al.  Use of the acceleration signal of a gearbox in order to perform angular resampling (with limited speed fluctuation) , 2005 .

[3]  M. S. Lebold,et al.  Removal of order domain content in rotating equipment signals by double resampling , 2005 .

[4]  P. McFadden Interpolation techniques for time domain averaging of gear vibration , 1989 .

[5]  William H. Press,et al.  Numerical recipes in C , 2002 .

[6]  Jérôme Antoni,et al.  Cyclostationary modelling of rotating machine vibration signals , 2004 .

[7]  Gaël Chevallier,et al.  Gear impacts and idle gear noise: Experimental study and non-linear dynamic model , 2009 .

[8]  Yves Rolain,et al.  Signal reconstruction for nonequidistant finite length sample sets: a "KIS" approach , 1998, IMTC/98 Conference Proceedings. IEEE Instrumentation and Measurement Technology Conference. Where Instrumentation is Going (Cat. No.98CH36222).

[9]  Thierry Blu,et al.  Quantitative Fourier Analysis of Approximation Techniques : Part I — Interpolators and Projectors , 1999 .

[10]  Chris J. Harris,et al.  Hybrid Computed Order Tracking , 1999 .

[11]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[12]  P J Sweeney,et al.  Gear Transmission Error Measurement Using Phase Demodulation , 1996 .

[13]  Simon Braun,et al.  The synchronous (time domain) average revisited , 2011 .

[14]  Michael Unser,et al.  Splines: a perfect fit for signal and image processing , 1999, IEEE Signal Process. Mag..

[15]  K. R. Fyfe,et al.  ANALYSIS OF COMPUTED ORDER TRACKING , 1997 .

[16]  Kesheng Wang,et al.  The combined use of order tracking techniques for enhanced Fourier analysis of order components , 2011 .

[17]  J. Antoni Cyclostationarity by examples , 2009 .

[18]  R B Randall,et al.  Encoder error analysis in gear transmission error measurement , 1998 .

[19]  Radoslaw Zimroz,et al.  A new method for the estimation of the instantaneous speed relative fluctuation in a vibration signal based on the short time scale transform , 2009 .

[20]  P. Vaidyanathan Multirate Systems And Filter Banks , 1992 .

[21]  Jérôme Antoni Orthogonal-like fractional-octave-band filters. , 2010, The Journal of the Acoustical Society of America.

[22]  Didier Remond,et al.  From transmission error measurements to angular sampling in rotating machines with discrete geometry , 2005 .