FL10quiz8 - linear time-invariant systems? Answer yes, no,...

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ESE 351 Quiz 8 Name: 9/28/2010 Sections 5.1–5.5 a. Which notation do we use to denote the convolution of two functions f ( t ) and g ( t ), [ f ( t ) * g ( t )] or [ f * g ]( t )? b. Suppose that the impulse response of a linear time-invariant system is denoted by h ( t ) or h ( k ). The input to the system is given as u ( t ) or u ( k ). What is the output, y ( t ) or y ( k ), of the system? Namely express the output in terms of the other elements. You can pick either the continuous-time system or the discrete-time system. c. We modeled different systems in Chapter 1. They all resulted in the so called ABCD form with constant matrices A, B, C, and D. Are they
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Unformatted text preview: linear time-invariant systems? Answer yes, no, or sometimes. d. Suppose that the system in hand is a linear system. You observe an output y 1 ( t ) to an input u 1 ( t ) and another output y 2 ( t ) to another input u 2 ( t ). What is the output y ( t ) to the following input: u ( t ) = 3 u 1 ( t )-7 u 2 ( t )? e. Suppose that the system in hand is time-invariant. You observe an output y ( t ) to an input u ( t ). What is the output y ( t ) to the following delayed input: u ( t ) = u ( t-7)?...
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