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

Sorting vectors of structures, Sorting Vectors of structures: Whenever...

Sorting Vectors of structures: Whenever working with vector of structures, it is very common to sort based on a particular field within the structures. For illustration, recal

Displaying expressions, Displaying expressions: The good-looking funct...

Displaying expressions: The good-looking function will show such expressions by using exponents; for illustration, >> b = sym('x^2') b = x^2 >> pretty(b)

Illustration of preallocating a vector, Illustration of Preallocating a Vec...

Illustration of Preallocating a Vector: Illustration of calling the function: >> myveccumsum([5 9 4]) ans =     5  14  18 At the first time in the loop, outvec wil

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

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

Displaying the cell arrays, Displaying the cell arrays: There are seve...

Displaying the cell arrays: There are several techniques of displaying the cell arrays. The celldisp function shows all elements of the cell array:   >> celldisp(cellro

For loops - iterator variable, For Loops which do not use an iterator Vari...

For Loops which do not use an iterator Variable in the action: In all the illustrations that we seen so far, the value of the loop variable has been used in same way in the ac

Example exit modular program, Example Exit modular program: In the ill...

Example Exit modular program: In the illustration below, the user  Chose the Limit; -   Whenever prompted for n, entered the two invalid values before finally ente

Technique to create nested structures, Technique to create Nested structure...

Technique to create Nested structures: This technique is the most proficient. Though, the other technique is to build the nested structure one field at a time. As this is a ne

Reduced row echelon form, Reduced Row Echelon Form: The Gauss Jordan t...

Reduced Row Echelon Form: The Gauss Jordan technique results in a diagonal form; for illustration, for a 3 × 3 system: The Reduced Row Echelon Forms take this one step

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