Mid_1_solutions_1_2 - ECSE 304 Winter 2010 SOLUTIONS to...

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ECSE 304 Winter 2010 SOLUTIONS to MIDTERM 1 PROBLEM 1: Fundamentals (solution by Mr. Yi Feng) (a) A matched filter receiver is a demodulator used in digital communication . It projects the received signal r(t) onto the basis vectors p 1 (t), p 2 (t)… of the signal space by finding the inner products between r(t) and p 1 (t), p 2 (t)…. The correlator and the matched filter are functionally equivalent. The correlator consists of a multiplier, an integrator, a signal generator followed by a sampler. The matched filter instead uses filters with the impulse responses () ( ) i ht p t = and samplers at 0 t = . The equivalence of the two structures was demonstrated in class using the convolution property of LTI system. The matched filter can be built solely by passive components ; thus, it is more cost efficient and energy efficient. The matched filter receiver is widely used in digital demodulation of various communication systems such as PAM, QAM, and CDMA. Please remember that any argument related to analog communication, i.e. AM/FM, carrier frequency, phase, etc, they are NOT related to this concept at all. (b) In CDMA systems, every user can take the advantage of using the full time slots and full bandwidth, and they are distinguished by using different modulation waveforms during the transmission. When the modulation waveforms are non-orthogonal , multi-user interference between users occurs.
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This note was uploaded on 07/09/2011 for the course ECSE 304 taught by Professor Chenandbacsy during the Spring '11 term at McGill.

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Mid_1_solutions_1_2 - ECSE 304 Winter 2010 SOLUTIONS to...

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