Spectral study of light with a very low intensity by means of the measurement of laplace or fourier transform of the time-interval probability

1982 ◽  
Vol 42 (1) ◽  
pp. 34-38 ◽  
Author(s):  
R.J. López ◽  
M.A. Rebolledo
1992 ◽  
Vol 46 (7) ◽  
pp. 1140-1142 ◽  
Author(s):  
S. Jarabo ◽  
M. A. Rebolledo ◽  
J.F. Calleja

In this paper the Fourier transform of the time-interval probability (FT-TIP) technique is applied to a fluorescence decay spectroscopy experiment in which a very small signal is detected. The lifetime of the 4 F9/2, level of Er3+ ions in an Er-doped glass is measured by the FT-TIP technique. It is concluded that this technique can be applied to lifetime measurement with small errors, in those experiments where standard techniques do not work well because of the small detected signal.


2020 ◽  
Vol 10 (10) ◽  
pp. 3486 ◽  
Author(s):  
Panpan Gong ◽  
Mingzhang Luo ◽  
Luoyu Zhou ◽  
Liming Jiang ◽  
Xuemin Chen

The stress wave reflection method is widely used in the detection of structure size and integrity due to its advantages of low environmental impact and convenience. The detection accuracy depends on the accurate extraction of the stress wave reflection period. The traditional peak–peak method (PPM) measures the time interval between the first two peaks of the reflected waves to extract the reflection period. However, human interpretation is not avoidable for identifying the weak peak due to signal energy leaks into the surrounding environment. This paper proposes an algorithm for automatic extraction of the stress wave reflection period based on image processing to avoid human interference. The image is the short-time Fourier transform (STFT) spectrogram of the reflected wave signal after applying wavelet denoising and quadratic self-correlation operations. The edge detection method of image processing is used to extract the periodically occurring trough in the image. Graying and filtering are performed to eliminate interference. The frequency of the trough distribution is calculated by using the fast Fourier transform (FFT), and then the reflection period of the stress wave is obtained. The effectiveness and accuracy of the proposed method are validated by measuring the different lengths of two buried metal piles in soil. Comparing with the existing method of extracting the stress wave reflection period, this new algorithm comprehensively utilizes the time–frequency domain information of the stress wave reflection signal.


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