Please solve all the parts & do the code in MATLAB for part (c) Attempt only if you can do all the parts. Do not post an

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Please solve all the parts & do the code in MATLAB for part (c)
Attempt only if you can do all the parts. Do not post any irrelevant answers. I'll not appreciate.

Please Solve All The Parts Do The Code In Matlab For Part C Attempt Only If You Can Do All The Parts Do Not Post An 1 (42.11 KiB) Viewed 18 times

Problem 4 (25 Marks). Let a filter circuit be described by the following exponential weighted moving average difference equation: y[n] = (1 - a)y[n - 1] + ax[n] where x[n] and y[n] represent the input and output sequences respectively. The coefficient a is the attenuation or smoothing factor. a) Determine if the system is linear, time-invariant and Causal. [10 Marks] b) Draw the simulation diagram for this system. [5 Marks) c) Suppose that a = 0.4, use Matlab to calculate and plot the system response to a unit step input i.e x[n] = u[n] assuming zero initial condition, i.e. y[0] = 0. (10 Marks]