| 光谱学与光谱分析 |
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| Tracking the Process Reconstructing Original Signal with Sampled Data by Spectroscopy |
| SONG Yi-zhong1,2,DONG Xiang-jun3,ZHAO Zhi-min1 |
1. School of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2. Department of Physics, Dezhou University, Dezhou 253000, China
3. School of Information Science and Technology, Shandong Institute of Light Industry, Ji’nan 250353, China |
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Abstract With spectroscopy, the principle and process of sampling and reconstructing a continuous-time signal are discussed. A symmetrical frequency-finite spectrum function F(ω) is constructed with three modified rise-cosine pulses. Its corresponding time-domain signal f(t) is worked out theoretically. f(t) is sampled with a comb function δT(t). By modifying the value of T, Shannon sampling signal is obtained. With Fast Fourier Transform(FFT), the frequency spectrum Fd(ω) of the sampling signal is figured out. The calculated Fd(ω) is compared with the constructed F(ω). The processes to reconstruct f(t) with the sampling signal and its digital frequency spectrum Fd(ω) are discussed. As the result, there is little difference between the calculated Fd(ω) and the constructed F(ω). The original signal can accurately be reconstructed with the sampling data in time domain, so can with the frequency spectrum Fd(ω) by FFT. As soon as signal storage is concerned, we can store the sampling data or its digital frequency spectrum.
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Received: 2007-05-10
Accepted: 2007-08-20
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Corresponding Authors:
SONG Yi-zhong
E-mail: yizhongsong@126.com
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