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Telemetry HW BME 552 2009

# Telemetry HW BME 552 2009 - (b If the ASK data is modeled...

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Homework BMES 552/(USC)/EE270(UCSC) 1. We have derived the overall induced voltage across the resonant capacitance is a function of the quality factor. However the derivation does not take into the consideration of the loading resistance, R L . Derive the induced voltage if the loading resistance is not ignored? 2. An ASK telemetry system could be modeled as a second order system by the equation of Furthermore assume the system is at the critical damped. Obviously in this second order system, the amplitude change of the voltage depends on the resistance and inductance, and in turn the quality factor. In the class, I had discussed the challenge of designing a ASK telemetry system to have the ratio of the carrier frequency over the bit rate equal to one. (a) Derive the solution of the equation? It will have a damped envelop term and an oscillation term.
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Unformatted text preview: (b) If the ASK data is modeled by the envelop term as a transition from one level to other level, what is the time to take to make such as transition (using the time to make a transition from 10% to 90% ) in terms of parameters in the equation? (c) Could you derive the necessary condition in terms of carrier frequency and quality factor, Q, such that both rise and fall transition time of the system equal to one cycle of the carrier? In other words, one bit time will take two carrier cycles. What is the maximal Q is allowed? (d) If the transition time is allowed for four cycles at end of the data bit, what is the maximal Q? (e) At the fixed carrier frequency, does higher Q lead to higher data rate? t A v dt dv dt v d c o ϖ α cos 2 2 2 2 = + + 2L R , cos 2 2 2 2 = = + + where t A v dt dv dt v d c o...
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