Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:A2L-B
Session:
Number:A2L-B2
Variable Resolution Gabor Transform Using The Discrete Convolution of Gaussian in The Frequency Domain
Takanobu Ishikawa, Shuichi Arai,
pp.120-123
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Gabor Transform(GT) is often used to timefrequency analysis for non-stationary signal. The timefrequency analysis including GT can't simultaneously improve time resolution and frequency resolution. For this problem, various studies of multiple resolution analysis have been done. In these studies, the calculation complexity got very high because several resolution analysis must be performed in the same signal. Solving this issue, we have proposed the resolution conversion method which can synthesize the spectrum of high frequency resolution using some spectra of low frequency resolution. However, the method can just convert the spectrum to higher frequency resolution. In this paper, we propose a conversion method to lower frequency resolution. The proposed method allows you to get arbitrary resolution spectrum in any timefrequency position by synthesizing the desired one from the spectra calculated preliminarily in one resolution.