The Theory and Realization of Signal Reconstruction

According to sampling theorem, if the sampling frequency is more than twice of maximum frequency of signal, the original signal can be regained. And it is often half past twice or so of maximum frequency of signal. But under this sampling frequency, the waveform of sampled signal is deformed seriously. But if the signal is sampled with too large frequency, it would need too much memory. It is a contradiction between perfect waveform and memory. This paper discusses the principle of reconstructing the original signal from the sampled signal. And the kernel codes of the program are shown, too. This method can achieve the performance of using the minimum memory to get maximum information of signal. Through emulation in MATLAB, this method is proved to be highly effective.