User Account

All Pages

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

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

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

Appending variables to the mat-file, Appending variables to the Mat-File: ...

Appending variables to the Mat-File: Appending to the file adds to what has been saved in a file, and is accomplished by using the -append option. For illustration, supposing

For loop, FOR Loop: The for loop, or the for statement, is used whenev...

FOR Loop: The for loop, or the for statement, is used whenever it is essential to repeat statement(s) in the script or function, and whenever it is known ahead of time how man

Algorithm for expfn function, Algorithm for expfn function: The algori...

Algorithm for expfn function: The algorithm for expfn function is as shown:  receives the value of x as the input argument.  Prints the value of exp(x).  assigns a

Algorithm for appex subfunction, Algorithm for appex subfunction: The ...

Algorithm for appex subfunction: The algorithm for appex subfunction is as shown:  Receives x & n as the input arguments.  Initializes a variable for running sum of t

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:

Str2num function - string, str2num function - String: The function str2...

str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.

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

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 gauss-jordan, Illustration of gauss-jordan: Here's an ...

Illustration of gauss-jordan: Here's an illustration of performing such substitutions by using MATLAB >> a = [1 3 0; 2 1 3; 4 2 3] a = 1 3 0 2 1 3 4 2

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

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