Error Minimization for Faithful Reconstruction of Analog Signal

Sampling is one of the important stages in transmitting analog signal using digital technique. It involves the assignment of the sampling frequency which determines how faithfully the sampled signal can represent the analog signal. A careful choice of the sampling frequency is very crucial especially to reduce loss of information.In this study, MATLAB program was used to sample a 5-V, 50H-z sinusoidal signal at different sampling frequencies of 225Hz, 275Hz, 100Hz, 125Hz, 1025Hz and 1075Hz. Also, from the sampled signals, the analog signal was reconstructed and the error of reconstruction was checked in order to determine the accuracy at each sampling frequency. It is discovered that the error of reconstruction decreases as the sampling frequency increases. At the sampling fre-quency of 1025Hz, the error was 4.0856 x10-14, which is approximately zero. It implies that sampling above the Nyquist rate is very crucial to faithful representation and hence, reconstruction of the analog signal.