Assignment_1

# Assignment_1 - notes Two formulas were given to compute the...

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Carleton University Department of Systems and Computer Engineering SYSC5606 Fall 2009 Assignment # 1 Due on October 22, 2009 [1] If we transmit ) cos( ) ( φ ω + = t A t s o in a multipath channel, the received signal (ignoring noise and interference) is ) cos( ) ( θ + + = t A A t r o , where A and are the amplitude and phase distortion added by the channel. Prove that we can ignore the carrier frequency and analyze the system using the model shown in the following figure: j o e A j e A ) ( + j o Ae A Transmitter Vector Channel Vector Receiver Vector [2] The channel model can be represented in Cartesian form as follow: jY X Ae j + = Write a Matlab program to perform the following steps: a) Generate two independent Gaussian random variables X and Y (zero mean and unity variance) b) Compute the amplitude A and the phase c) Repeat steps (a) and (b) at least 1000 times d) Form a histogram for A and compare it to a Rayleigh distribution curve. [3] Consider the two-state model of the Rayleigh fading channel described in the course
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Unformatted text preview: notes. Two formulas were given to compute the average fade duration and the average level crossing rate. Consider a mobile receiver moving at a constant speed such that the maximum Doppler frequency shift is 20 Hz, and the minimum acceptable received level is 20 dB below the RMS level. a) Determine the average fade duration, f τ and the average non-fade duration, nf b) If we transmit data at a rate of 10,000 bits/sec, what is the average length (in bits of an error burst? c) Use the two state model to determine the average Bit Error Rate. d) [optional] Write a Matlab program to simulate the two-state model. Assume that the consecutive fade and non-fade intervals are independent exponential radom processes....
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## This note was uploaded on 10/24/2009 for the course SCE Sysc5606 taught by Professor Roshdy during the Spring '09 term at Carleton CA.

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