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

Illustration of gauss-jordan elimination, Illustration of gauss-jordan elim...

Illustration of gauss-jordan elimination: An illustration of interchanging rows would be r1 ¬→ r3, that would results: Now, beginning with this matrix, an illustration of sc

Matrix definitions, Matrix definitions: As we know the matrix can be t...

Matrix definitions: As we know the matrix can be thought of as a table of values in which there are both rows and columns. The most common form of a matrix A (that is sometime

Filter, A matlab function to calculate filter order

A matlab function to calculate filter order

Technique to creating this structure, Technique to creating this structure:...

Technique to creating this structure: An alternative technique of creating this structure, that is not as efficient, includes using the dot operator to refer to fields in the

Function issorted - set operations, Function issorted - set operations: ...

Function issorted - set operations: The function issorted will return 1 for logical true when the argument is sorted in ascending order (minimum to maximum), or 0 for false wh

Variable scope, Variable Scope: The scope of any of variable is the wo...

Variable Scope: The scope of any of variable is the workspace in which it is valid. The workspace generated in the Command Window is known as the base workspace. As we know

Converting between the string and number types, Converting between the Stri...

Converting between the String and Number types: The MATLAB has many functions which convert numbers to strings in which each character element is a separate digit, and vice ve

Creating cell arrays, Creating Cell arrays: There are many ways to cre...

Creating Cell arrays: There are many ways to create cell arrays. For illustration, we will create a cell array in which one element will store an integer, one element store ch

Expanding a function, Expanding a function: The expand function will m...

Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)

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

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