Write a matlab code to answer the excercise. Show all the steps and the matlab code.

Fourier analysis Say, X1 (t)-A( 2 . t/9) e-15-t/1x cos (2 . t-/4): l Using the format of time frequency pairs: 1. t5, and zero elsewhere. a. Produce an educated guess (by hand) for the spectral decomposition of the signal x(t) b. Carry on the spectral decomposition computation of x1(t) c. Compare the results in parts a and b above. d. Consider this time contamination with additive white Gaussian noise. Fourier analysis Say, X1 (t)-A( 2 . t/9) e-15-t/1x cos (2 . t-/4): l Using the format of time frequency pairs: 1. t5, and zero elsewhere. a. Produce an educated guess (by hand) for the spectral decomposition of the signal x(t) b. Carry on the spectral decomposition computation of x1(t) c. Compare the results in parts a and b above. d. Consider this time contamination with additive white Gaussian noise