Answer Happy

please note that this question want a code in MATLAB! not only a
theoretical answer, so please solve it using MATLAB.
Note: solve the following questions using either MATLAB or python. Question 1 : A continuous-time sinusoidal signal x(t) is obtained at the output of an ideal low-pass filter with cutoff frequency we = 1000 (a) What is the maximum possible frequency Wm of x(t)? (b) What is the Nyquist rate of the signal x(t)? (c) What is the requirement on sampling period Ts such that no aliasing will occur when recovering x(t) from its samples? If impulse-train sampling is performed on x(t), which of the following sampling periods guarantee that x(t) can be recovered from its sampled version using an appropriate lowpass filter? Ts = 0.5 x 10-3 Ts = 2 x 10-3 Ts = 10-4 - Write a MATLAB Code to validate your answer in both time and frequency. Plot the signal with different sampling rates. Determine if the is any aliasing.