Skewness-based self-adaptive window-variable long-short-time time frequency transformation technology
A transformation technology and self-adaptive technology, applied in special data processing applications, complex mathematical operations, instruments, etc., can solve the problem that STLVT cannot adjust the window length, etc., and achieve excellent technical performance
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example 1
[0053] Example 1: Under the computer MATLAB environment, a two-component simulation signal is generated according to the following formula: each parameter of frequency modulation is f 1 =-30Hz, f 2 =20Hz, γ 1 =0.6Hz / s, γ 2 =20Hz / s; sampling frequency f s =256Hz, signal sampling points N s =8192.
[0054]
[0055] In this example, the ratio Q of reducing the window length each time is set to 0.5.
[0056] figure 2 (a) is the original time-frequency diagram of the input signal. figure 2 (b) is a time-frequency diagram using the present invention, namely AWLT. by comparison figure 2 (a) and figure 2 (b) It can be seen that the original time-frequency diagram of the input signal and the time-frequency diagram of the AWLT are highly overlapped, indicating that the present invention can handle such signals well.
[0057] In order to show the advantages of the present invention over STLVT, another example is given below.
example 2
[0058] Example 2: In the computer MATLAB environment, a single-component simulation signal is generated according to the following formula: each parameter of frequency modulation is f 1 =-5Hz, γ 1 =6Hz / s; sampling frequency f s =256Hz, signal sampling points N s =8192.
[0059]
[0060] In this example, the ratio Q of reducing the window length each time is set to 0.8.
[0061] image 3 (a) is the original time-frequency diagram of the input signal. image 3 (b) is a time-frequency diagram of processing an input signal with the present invention, ie AWLT. image 3 (c) is the time-frequency diagram of STLVT with a window length of 1536 points. We can see from the figure that the time-frequency curve of AWLT is relatively smooth, and the waveform is very close to the original waveform. The time-frequency curve of STLVT is not smooth enough, and the waveform is not close enough to the original waveform. This is caused by the fact that the fixed window length used by ST...
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