exam1_practice

# exam1_practice - University of Texas at Austin Biomedical...

This preview shows pages 1–2. Sign up to view the full content.

University of Texas at Austin Biomedical Engineering Department BME 343, BME Signal and Systems Analysis Practice Exam 1 1. Suppse that the impulse response of a LTI system is given by the following: t h(t) -1 0 1 2 3 4 0 0.5 1 Draw a plot(include values on both axes) of the output of this system when the following input is applied: x ( t ) = 2 X k =0 δ ± t - 3 k 2 ² 2. Suppose that the input to a LTI system is given by u ( t + 1) - u ( t - 1), and that the impulse response of this system is h ( t ) = e - 2 t ( u ( t ) - u ( t - 3)). Determine the output of the system in response to this input by directly evaluating the convolution integral. 3. Suppose that a continuous time, linear time invariant system is deﬁned by a diﬀerential equation of the form d 2 y ( t ) dt 2 + 6 dy ( t ) dt + Ky ( t ) = g ( t ) For what values of K is this system asymptotically stable? 4. For each of the following systems, determine whether the system is linear, time-invariant, or both: (a) y ( t ) = t 2 x ( t - 1) (b) y [ n

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/14/2011 for the course BME 343 taught by Professor Emelianov during the Spring '09 term at University of Texas at Austin.

### Page1 / 2

exam1_practice - University of Texas at Austin Biomedical...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online