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

Streamslice, I have a 400x2 vel.dat and 20x2 xy.dat file, how can i plot a ...

I have a 400x2 vel.dat and 20x2 xy.dat file, how can i plot a streamslice graph on matlab with this two files.

Logical scalar values - operators, Logical scalar values: The MATLAB a...

Logical scalar values: The MATLAB also has or and and operators which work element wise for the matrices: These operators will compare any of the two vectors or matric

Program to counting in a while loop, Program to Counting in a while loop: ...

Program to Counting in a while loop: The script initializes variable counter to 0. Then, in the while loop action, each and every time the user successfully enter a number, th

Illustration of set operations, Illustration of Set operations: For il...

Illustration of Set operations: For illustration, given the vectors as shown below: >> v1 = 2:6 v1 = 2  3  4  5  6 >> v2 = 1:2:7 v2 = 1  3  5  7

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

Intersect function and setdiff function, Intersect function and setdiff fun...

Intersect function and setdiff function: The intersect function rather than returns all the values which can be found in both of the input argument vectors. >> intersect(v

Binary search, Binary Search: The binary search supposes that the vect...

Binary Search: The binary search supposes that the vector has been sorted first. The algorithm is just similar to the way it works whenever looking for a name in a phone direc

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

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

Signals, Q.1: Consider the transmission of a sinusoid x(t) = cos(2f0t) thr...

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 fro

Illustration of finding a sting, Illustration of finding a sting: Le...

Illustration of finding a sting: Let's enlarge this, and write a script which creates a vector of strings which are phrases. The outcome is not suppressed so that the string

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