Name BME 171, Spring 2005 - IN-CLASS FINAL 1. Consider a system whose frequency response is X (f ) = 10 . 2.5 + j 2f
(a) Determine impulse response h(t) of this system. Then show that this system is causal and BIBO stable. (b) Use convolution to compute t
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Name BME 171, Spring 2005 - TEST #2 1. Find an inverse Fourier transform of the following function: X (f ) = ej 2f 1 + j 2 (f 1)
Note which pairs and properties you are using. 2. A mass on a spring can be considered a second order LTI system. The governin
Name BME 171, Fall 2000 - TEST #2 1. Compute Fourier transforms of the signals given below. Indicate which pairs and properties you are using. (a) x1 (t) = e2(t1) u(t 1) (b) x2 (t) =
cos(6t) t2 +1
2. Consider the following signal: x(t) = 2.5 3 cos(2 (t 0.
Name BME 171, Spring 2005 - TEST #1 1. Consider an LTI system with delay, whose output to an input x(t) = 6u(t) is y(t) = 3(1 - e-5(t-2) ) u(t - 2). (a) What is the impulse response of this system? Compute and make a sketch. (b) Without using convolution,
Name BME 171, Fall 2000 - TEST #1 1. The response of an FIR lter is given by a following dierence equation: y [n] = x[n] + 2 x[n 1] + 3 x[n + 2] + 4 x[n 3]. (a) Find and sketch impulse response h[n] of this lter. What is the length and order of this lter?
Systems Analysis with the Laplace and z Transforms Review Questions
1. Given governing ODE or impulse response h(t), compute transfer function H (s). 2. Given H (s), draw the location of poles and determine stability. 3. Given H (s), sketch Bode plots |H
Systems Analysis in the Frequency Domain Review Questions Exponential Fourier Series and Fourier Transform
1. Given governing ODE, compute frequency response H (f ) / H ( ): by steady-state analysis, by FT of governing ODE, and by FT of impulse response h
Systems Analysis in the Time Domain Review Questions
1. Given verbal description or a graph, write signals as mathematical functions (and vice versa). Do so for both analog and digital signals. 2. Given an analog / digital signal, apply to it time shift a
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Due February 17, 2010 BME 171, Spring 2010 - HOMEWORK 5 FIR/IIR Filters and Discrete Convolution 1. Consider a lter is described by the following dierence equation: y [n] = x[n] 3 x[n 1] + 2 x[n 3]. (a) Determine and sketch the impulse response h[n] of th