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

Gauss, Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations...

Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations, there are well-defined, easy solution techniques. Though, for the larger systems of equations, finding solutio

Interpolation and extrapolation, Interpolation and extrapolation: In m...

Interpolation and extrapolation: In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temp

Function call - modular program, Function call: In the function call, ...

Function call: In the function call, not any arguments are passed so there are no input arguments in the function header. The function returns an output argument, therefore th

Function strncmp, Function strncmp: The function strncmp compares only...

Function strncmp: The function strncmp compares only the first n characters in the strings and ignores the rest. The initial two arguments are strings to compare, and third ar

Square matrices, Square Matrices: If a matrix has similar number of ro...

Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply

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

Finding a sting - function strfind, Finding a sting - function strfind: ...

Finding a sting - function strfind: The function strfind does necessarily similar thing, except that the order of the arguments does make dissimilarity. The common form is str

Num2str function - string, num2str function: The num2str function, tha...

num2str function: The num2str function, that converts real numbers, can be called in many ways. If only the real number is passed to the num2str function, it will generate a s

Interchange rows - gauss-jordan elimination, Interchange rows : for illust...

Interchange rows : for illustration interchanging rows ri and rj is written as

Example of gauss-jordan, Example of Gauss-jordan: For a 2×2 system, th...

Example of Gauss-jordan: For a 2×2 system, this would results and for a 3 × 3 system, Note that the resulting diagonal form does not involve the right-most col

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