A Simple Wavelet Transform with Fine Time and Frequency Sampling

IF 0.3 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC
Tomoya Yamaoka;Tadashi Oshima
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引用次数: 0

Abstract

Wavelet transform performs frequency transform with different time window widths to enable accurate time-frequency analysis for sensing. Time and frequency sampling of scalogram are not uniform to eliminate redundancy. One method achieves fine time sampling with fewer operations, but the frequency direction sampling is not uniform or fine, and sidelobes are high. To address these problems, this study proposes a simple wavelet transform with fine time and frequency sampling. The proposed method consists of phase multiplication and signal addition. Frequency transform of any time window width is possible by changing the additive width of the signal. Furthermore, by adding the results, wavelet transform using a triangular window that lowers sidelobes is realized using a small number of complex multiplication operations. When the proposed method is applied to a chirp waveform, the frequency transition of the signal could be finely confirmed.
具有精细时间和频率采样功能的简单小波变换
小波变换以不同的时间窗口宽度进行频率变换,从而为传感提供精确的时频分析。为了消除冗余,对扫描电镜的时间和频率采样是不均匀的。有一种方法可以用较少的操作实现精细的时间采样,但频率方向的采样不均匀或不精细,而且边频很高。针对这些问题,本研究提出了一种具有精细时间和频率采样的简单小波变换。该方法包括相位乘法和信号加法。通过改变信号的加法宽度,可以实现任意时间窗口宽度的频率变换。此外,通过将结果相加,只需进行少量复杂的乘法运算,就能实现使用三角形窗口的小波变换,从而降低边扰。当将所提出的方法应用于啁啾波形时,信号的频率转换可以得到很好的确认。
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来源期刊
IEICE Communications Express
IEICE Communications Express ENGINEERING, ELECTRICAL & ELECTRONIC-
自引率
33.30%
发文量
114
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