(Solved):
2. Figure 1 shows the block diagram representation of a causal linear time-in ...
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2. Figure 1 shows the block diagram representation of a causal linear time-invariant system with input \( x[n] \) and output \( y[n] \). Note that \( a \) is a real number. (a) Determine the system transfer function \( H(z) \). [12 marks] (b) Determine the system impulse response \( h[n] \). [4 marks] (c) For what range of values of \( a \) is the system stable? [4 marks \( ] \)