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hw4_digital_modulation_sampling

# hw4_digital_modulation_sampling - Massachusetts Institute...

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Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.02 Intro to EECS II Spring 2008 Homework #4: Digital modulation and sampling Distributed: February 28, 2008 Due: March 7, 2008 1. 1. You are given a constellation diagram that represents the output of an I/Q digital modulator below: × × × 2cos2 π 10 8 t 2sin2 π 10 8 t 4 LEVEL INPUT (-3,-1,1,3) 4 LEVEL INPUT (-3,-1,1,3) × + × OUTPUT × 8 2sin 2 10 t π × × × × × × × × × × × × 1 3 -3 -1 -3 3 1 -1 a) If the input produces the constellation point at (3,1) the output of the I/Q modulator produces A cos 2 π ft + φ ( ) , find A , f , and φ . b) If the input produces the constellation point at (-3,-3) the output of the I/Q modulator produces A cos 2 π ft + φ ( ) , find A , f , and φ . 2. A cheap digital receiver is receiving one-bit data on the I channel. From the eye diagram of the I channel, we find that the sampled signal varies between 1.0 and 1.2 for a logic 1 and between -.8 and –1.2 for a logic zero at the sample time.

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