An input signal sin omega0 t is sampled with an ideal sampli

An input signal sin omega_0 t is sampled with an ideal sampling function and a signal is reconstructed from its samples using an ideal low-pass filter with omega_c = 0.5^omega_s. For each of the following cases, what frequency would the reconstructed signal have? Verify this using MATLAB. Also, the gain of this filter must be T = 1/f_s. f_0 = 50 Hz and f_s = 90 Hz. f_0 = 50 Hz and f_s = 120 Hz. f_0 = 100 Hz and f_s = 150 Hz.

Solution

reconstructed signal frequency = fo-fs

a) 40

b) 70

c) 50hz

sampling frequency = 2(fs - fo)

a) 80

b) 140

c) 100