Optimal Frequency Band Design Scheme of Dyadic Wavelet Processor Array Using Surface Acoustic Wave Devices

In this paper, the relationship between the center frequency and radius of bandwidth and its effect on the frequency band characteristics of dyadic wavelet processor array using surface acoustic wave (SAW) devices are studied, and an optimal frequency band design scheme is proposed. For an arbitrary scale wavelet processor, we proposed that the center frequency is defined to three times of the radius of frequency bandwidth. The frequency band design scheme ensures that the frequency band coverage factor is equal to 100% at -3 dB, which avoid the signal loss caused by the discrete frequency band and the device waste caused by the redundant frequency band. With the frequency band design scheme, an experiment of implementing a dyadic wavelet processor array using SAW devices with five scales is presented. Experimental results confirm that the frequency band coverage factor equals 100% at -3 dB without discrete and redundant frequency band.

[1]  Damian Giaouris,et al.  Wavelet Denoising for Electric Drives , 2008, IEEE Transactions on Industrial Electronics.

[2]  Qinghong Liu,et al.  Wavelet transform element of SAW type , 2005 .

[3]  Robert Glenn Stockwell,et al.  A basis for efficient representation of the S-transform , 2007, Digit. Signal Process..

[4]  P. Tse,et al.  Machine fault diagnosis through an effective exact wavelet analysis , 2004 .

[5]  Amara Lynn Graps,et al.  An introduction to wavelets , 1995 .

[6]  Stéphane Mallat,et al.  Characterization of Signals from Multiscale Edges , 2011, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  D Mendlovic Continuous two-dimensional on-axis optical wavelet transformer and wavelet processor with white-light illumination. , 1998, Applied optics.

[8]  Changchun Zhu,et al.  Time synchronous dyadic wavelet processor array using surface acoustic wave devices , 2006 .

[9]  R. H. Tancrell Improvement of an acoustic-surface-wave filter with a multistrip coupler , 1973 .

[10]  S. Mallat A wavelet tour of signal processing , 1998 .

[11]  A. Habibi,et al.  Introduction to wavelets , 1995, Proceedings of MILCOM '95.

[12]  Thomas Olsson,et al.  Digital implementation of a wavelet-based event detector for cardiac pacemakers , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[13]  Shiu-keung Tang,et al.  ON THE TIME–FREQUENCY ANALYSIS OF SIGNALS THAT DECAY EXPONENTIALLY WITH TIME , 2000 .

[14]  Luis Romeral,et al.  Fault Detection in Induction Machines Using Power Spectral Density in Wavelet Decomposition , 2008, IEEE Transactions on Industrial Electronics.

[15]  Qian Huang,et al.  Improving Automatic Detection of Defects in Castings by Applying Wavelet Technique , 2006, IEEE Transactions on Industrial Electronics.

[16]  D B Marghitu,et al.  An analysis of greyhound gait using wavelets. , 1997, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[17]  Changbao Wen,et al.  A novel architecture of implementing wavelet transform and reconstruction processor with SAW device based on MSC , 2006 .

[18]  Arturo Garcia-Perez,et al.  Automatic Online Diagnosis Algorithm for Broken-Bar Detection on Induction Motors Based on Discrete Wavelet Transform for FPGA Implementation , 2008, IEEE Transactions on Industrial Electronics.

[19]  Alejandro Díaz-Sánchez,et al.  Analog implementation of MOS-translinear Morlet Wavelets , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[20]  D Mendlovic,et al.  Optical implementation of the continuous wavelet transform. , 1998, Applied optics.