signals,systems and networks, MATLAB in Engineering

Assignment Help:
Q.1: Consider the transmission of a sinusoid x(t) = cos(2f0t) through a channel a ected
by multipath and Doppler. Let there be two paths, and assume the sinusoid is being sent
from a moving transmitter so that a Doppler frequency shift occurs. Let the received signal
be
r(t) = 0cos(2(f0 ?? v)(t ?? L0=c)) + 1cos(2(f0 ?? v)(t ?? L1=c))
where 0  i  1 are attenuations, Li are the distances from the transmitter to the receiver
that the signal travels in the ith path i = 1,2, c = 3  108 m/sec, and the frequency shift
v is caused by the Doppler e ect.
(a) Let f0 = 2 KHz, v = 50 Hz, 0 =1, 1 = 0.9 and L0 = 10,000 meters. What would
be L1 if the two sinusoids have a phase di erence of =2 ?
(b) Is the received signal r(t), with the parameters given above but L1 = 10,000, periodic?
If so, what would be its period and how much does it di er from the period of the
original sinusoid? If x(t) is the input and r(t) the output of the transmission channel,
considered a system, is it linear and time invariant? Explain.
(c) Sample the signals x(t) and r(t) using a sampling frequency Fs = 10 KHz. Plot the
sampled sent x(nTs) and received r(nTs) signals for n = 0 to 2000.
(d) Consider the situation where f0 = 2 KHz, but the parameters of the paths are random,
trying to simulate real situations where these parameters are unpredictable, although
somewhat related. Let
r(t) = 0cos(2(f0 ?? v)(t ?? L0=c)) + 1cos(2(f0 ?? v)(t ?? L1=c))
where v = 50 HZ, L0 = 1,000, L1 = 10,000, 0 = 1 - , 1 = 0/10 and  is a
random number between 0 and 1 with equal probability of being any of these values
1
(this can be realized by using the rand MATLAB function). Generate the received
signal for 10 di erent events, use Fs = 10,000 Hz as the sampling rate, and plot them
together to observe the e ects of the multipath and Doppler.

Related Discussions:- signals,systems and networks

Example of image processing, Example of image processing: The other il...

Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown

Abnormalities on roads, analyzing traffic; determine motion of flow; calcul...

analyzing traffic; determine motion of flow; calculate tracklets; detect abnormalities;

Structures, Structures: The Structures are data structures which group...

Structures: The Structures are data structures which group together values which are logically related in what are known as the fields of structure. The benefit of structures

Scaling - gauss-jordan elimination, Scaling:   change a row by multiplying ...

Scaling:   change a row by multiplying it by a non-zero scalar sri →  ri For illustration, for the matrix:

Gauss-jordan, Gauss-Jordan: The Gauss-Jordan elimination technique beg...

Gauss-Jordan: The Gauss-Jordan elimination technique begins in similar way which the Gauss elimination technique does, but then rather than of back-substitution, the eliminati

Evaluating a string, Evaluating a string: The function eval is used to...

Evaluating a string: The function eval is used to compute a string as a function. For illustration, below is the string 'plot(x)'is interpreted to be a call to plot the functi

Replacement - gauss-jordan elimination, Replacement : Replace a row b...

Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as   ri  - srj →  ri Note that when r

Illustration of graphics properties, Illustration of Graphics properties: ...

Illustration of Graphics properties: A particular property can also be exhibited, for illustration, to view the line width:     >> get(hl,'LineWidth')     ans =

Initializing the data structure - function, Initializing the data structure...

Initializing the data structure - Function: Function is shown as:   >> printcylvols(cyls) Cylinder x has a volume of 169.6 Cylinder a has a volume of 100.5

Tracing of square matrices, Tracing of Square matrices: The trace of a...

Tracing of Square matrices: The trace of a square matrix is the addition of all the elements on the diagonal. For illustration, for the preceding matrix it is 1 + 6 + 11 + 16,

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd