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The flow graph shown in Figure P6.32 is an implementation of a causal, LTI system.
(a) Draw the transpose of the signal flow graph.
(b) For either the original system or its transpose, determine the difference equation relating the input x[n] to the output y[n]. (Note: The difference equations will be the same for both structures.)
(c) Is the system BIBO stable?
(d) Determine y if x[n] = (1/2)nu[n].
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