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If we reverse the directions of all branch transmittances and interchange the input and output in the flow graph, then the resulting structure is called as ______________

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If we reverse the directions of all branch transmittances and interchange the input and output in the flow graph, then the resulting structure is called as ______________

(a) Direct form-I

(b) Transposed form

(c) Direct form-II

(d) None of the mentioned

This question was posed to me during an interview.

My enquiry is from Structures for IIR Systems topic in portion Discrete Time Systems Implementation of Digital Signal Processing

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Correct choice is (b) Transposed form

For explanation: According to the transposition or flow-graph reversal theorem, if we reverse the directions of all branch transmittances and interchange the input and output in the flow graph, then the system remains unchanged. The resulting structure is known as transposed structure or transposed form.

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