Problem 11 :
The inverse of a stable LSI system H(s) is defined as a
system that, when cascaded with H(s), results in an
overall transfer function of unity or, equivalently, an
overall impulse response that is an impulse.
(a)
If H1(s) denotes the transfer function of an
inverse system of H(s), determine the general algebraic
relationship between H(s) and H1(s).
(b)
Shown in the figure below (at left) is the pole-zero
plot for a stable, causal system H(s). Determine the
pole-zero plot for the associated inverse system.
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