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CPE 2 6 0 Theory of Systems Spring 2 0 2 4 Q 6 . Show that T ( z ) = z - i

CPE

260

Theory of Systems

Spring

2024

6 .

Show that

T (z) = \frac{z - i}{z + i}

maps the

x -

axis to the unit circle and the upper half

-

plane to the unit disk.

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