apply a periodic input x(n) =sin(0.5*pi*n+0.1*pi)+cos(0.25*pi*n) 0

Problem 3: Given the LTID system difference equation = 0.5x(n) - 0.6x(n - 1) + 1.1x(n - 2),x(-1) = 0,x(-2) = 0 y(n) (a) Find the unit impulse response h(n) of the system and comment on the type of the filter and its stability 110 points) SOLUTION: Calculation of h(n): Plot of h(n): Type of the filter: FIR or DIR? Stability check: In(n)] =? n=-00 (b) Draw the Direct Form implementation (or Signal Flow Graph) of the specified system. [5 points] SOLUTION: (c) Apply a periodic input x(n) = sin(0.51 +0.1n) + cos(0.25in),0 Sns 16 to the system. What is the period of the input signal? Find the output of the system y(n), ni sn s n2 by linear convolution sum using MATLAB function conv () or conv0 () or conv_m(). Is the system output periodic? If yes, what is the period? [10 points) SOLUTION: Input signal period = ? Value of n1 = ? Value of n2 =? Paste MATLAB code and plot here: Problem 3: Given the LTID system difference equation = 0.5x(n) - 0.6x(n - 1) + 1.1x(n - 2),x(-1) = 0,x(-2) = 0 y(n) (a) Find the unit impulse response h(n) of the system and comment on the type of the filter and its stability 110 points) SOLUTION: Calculation of h(n): Plot of h(n): Type of the filter: FIR or DIR? Stability check: In(n)] =? n=-00 (b) Draw the Direct Form implementation (or Signal Flow Graph) of the specified system. [5 points] SOLUTION: (c) Apply a periodic input x(n) = sin(0.51 +0.1n) + cos(0.25in),0 Sns 16 to the system. What is the period of the input signal? Find the output of the system y(n), ni sn s n2 by linear convolution sum using MATLAB function conv () or conv0 () or conv_m(). Is the system output periodic? If yes, what is the period? [10 points) SOLUTION: Input signal period = ? Value of n1 = ? Value of n2 =? Paste MATLAB code and plot here