The discrete-time LTI model for a two-path communication channel is y[n] = x[n] + ax[n -1] Find the transfer function and corresponding difference equation of the inverse system. State the condition for the parameter a such that the inverse system is causal and stable.

The discrete-time LTI model for a two-path communication channel is y[n] = x[n] + ax[n -1] Find the transfer function and corresponding difference equation of the inverse system. State the condition for the parameter a such that the inverse system is causal and stable.

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