show matlab codes and simualtion results for question 3 only

2. Generate 1024 samples of a sinusoidal signal at frequency 1000Hz, amplitude 1, sampling rate is 8000Hz. Mix it with a zero mean Gaussian noise with variance 0.3. Calculate and display the signal's FFT by using MATLAB. Calculate the autocorrelation of the mixed signal. 3. For a moving average filter defined as: y (n) = + 2 x(n 1), write MATLAB to implement it, I=0 apply this filter to the signal generated in problem 2. Plot both input and output signals in time and in frequency. Discuss the results related with filter length L. 2. Generate 1024 samples of a sinusoidal signal at frequency 1000Hz, amplitude 1, sampling rate is 8000Hz. Mix it with a zero mean Gaussian noise with variance 0.3. Calculate and display the signal's FFT by using MATLAB. Calculate the autocorrelation of the mixed signal. 3. For a moving average filter defined as: y (n) = + 2 x(n 1), write MATLAB to implement it, I=0 apply this filter to the signal generated in problem 2. Plot both input and output signals in time and in frequency. Discuss the results related with filter length L