A pressure gauge that can be modeled as an LTI system has a time response unit step input given by (1-e¹-te ¹)u(t). For a certain input x(t), the outpu observed to be (2-3e¹+e-3¹)u(t). For this observed measurement, determine the true pressure input to the ga as a function of time.

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A pressure gauge that can be modeled as an LTI system has a time response to a
unit step input given by (1-e¹te¹)u(t). For a certain input x(t), the output is
observed to be (2-3e-¹ + e-³¹)u(t).
For this observed measurement, determine the true pressure input to the gauge
as a function of time.
Transcribed Image Text:A pressure gauge that can be modeled as an LTI system has a time response to a unit step input given by (1-e¹te¹)u(t). For a certain input x(t), the output is observed to be (2-3e-¹ + e-³¹)u(t). For this observed measurement, determine the true pressure input to the gauge as a function of time.
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