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spring 2004 EE 3120 test #2

# spring 2004 EE 3120 test #2 - 3 The following system can be...

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Name:_____________________________________ EE 3120 Test # 2 SSN:_______________________________________ Spring 2004 1. A wireless internet system is proposed inside the EE building (one actually exists already). The signal is transmitted and retransmitted throughout the building using repeaters. The signal originates from the server antenna at what is considered full strength. It arrives at each repeater at 50% full strength, is amplified by 1.75 and retransmitted. Derive a recursive difference equation for the signal strength at the nth repeater. Extra Credit: Using the derived recursive equation, figure out the amount of original transmitter signal power needed if we require 1.5 watts at the 6 th repeater. 2. Considering that we can perform a complete signal analysis in the time domain, why is the Laplace transform sometimes used in system analysis?

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Unformatted text preview: 3. The following system can be described with both a recursive and non recursive difference equation. a. [ ] 0.25( [ ] [ 1] [ 2] [ 3]) y k u k u k u k u k = +-+-+-b. [ ] [ 1] 0.25( [ ] [ 4]) y k y k u k u k =-+--Which equation is recursive? a or b Which equation is the best to use? a or b Why? What condition must hold for a discrete-time system in order for the system to be described by a difference equation? 4. Given F(s), find f ( t ) using the Laplace transform table. 5. Find y ( t ) using graphical convolution of u ( t) and h ( t ). Flip h ( t ). 6. Find y [ k ] using graphical convolution of u [ k ] and h [ k ]. Flip h [ k ]. 7. Use the s-domain to compute the transfer function of the circuit shown below. 8. Plot the poles of H(s) and sketch general behavior of the time response for each pole....
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