2024-03-29T06:09:18Z
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oai:niigata-u.repo.nii.ac.jp:00001930
2022-12-15T03:34:45Z
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Fast Wavelet Transform and Its Application to Detecting Detonation
Fast Wavelet Transform and Its Application to Detecting Detonation
Kikuchi, Hisakazu
6281
Nakashizuka, Makoto
6282
Watanabe, Hiromichi
6283
Watanabe, Satoru
6284
Tomisawa, Naoki
6285
digital signal processing
wavelets
signals and waves
acoustics
Fast wavelet transform is presented for realtime processing of wavelet transforms. A processor for the fast wavelet transform is of the frequency sampling structure in architectural level. The fast wavelet transform owes its parallelism both to the frequency sampling structure and parallel tapping of a series of delay elements. Computational burden of the fast transform is hence independent of specific scale values in wavelets and the parallel processing of the fast transform is readily implemented for real-time applications. This point is quite different from the computation of wavelet transforms by convolution. We applied the fast wavelet transform to detecting detonation in a vehicle engine for precise real-time control of ignition advancement. The prototype wavelet for this experiment was the Gaussian wavelet (i.e. Gabor function) which is known to have the least spread both in time and in frequency. The number of complex multiplications needed to compute the fast wavelet transform over 51 scales is 714 in this experiment, which is less than one tenth of that required for the convolution method. Experimental results have shown that detonation is successfully detected from the acoustic vibration signal picked up by a single knock sensor embedded in the outer wall of a V/8 engine and is discriminated from other environmental mechanical vibrations.
journal article
The Institute of Electronics, Information and Communication Engineers
1992-08
application/pdf
IEICE transactions on fundamentals of electronics, communications and computer sciences
8
E75-A
980
987
IEICE transactions on fundamentals of electronics, communications and computer sciences
AA10826239
09168508
https://niigata-u.repo.nii.ac.jp/record/1930/files/e75-a_8_980.pdf
eng
http://www.ieice.org/jpn/trans_online/
copyright©1992 IEICE