Determine regions in the s-plane resulting from mappings

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Reference no: EM13280005

Consider the inverse relation given by z = e^sTs-that is, how to map the z-plane into the s-plane.
(a) Find an expression for s in terms of z from the relation z = e^sTs.
(b) Consider the mapping of the unit circle (i.e., z = 1ejω, -π ≤ ω < π). Obtain the segment in the s-plane resulting from the mapping.
(c) Consider the mapping of the inside and the outside of the unit circle. Determine the regions in the s-plane resulting from the mappings.

Reference no: EM13280005

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