A system is described as, w(n+1)= a w(n) + x(n) y(n)w(n) + x(n), where x(n) and...

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A system is described as, w(n+1)= a w(n) + x(n) y(n)w(n) + x(n), where x(n) and y(n) are input and output signals, respectively. (a) Draw a block diagram or signal flow graph representation for this system. You can use direct form 1 or 2, as you wish (7.5 pts.). (b) Find the system function H(z) and the impulse response h(n) of this system (7.5 pts.). (c) Is this system causal or not? Justify your answer (5 pts.). (d) Find values of the parameter a for this system to be stable (5 pts.). A system is described as, w(n+1)= a w(n) + x(n) y(n)w(n) + x(n), where x(n) and y(n) are input and output signals, respectively. (a) Draw a block diagram or signal flow graph representation for this system. You can use direct form 1 or 2, as you wish (7.5 pts.). (b) Find the system function H(z) and the impulse response h(n) of this system (7.5 pts.). (c) Is this system causal or not? Justify your answer (5 pts.). (d) Find values of the parameter a for this system to be stable (5 pts.).

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