Answer Happy

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.
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]