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

Algorithm for subfunction, Algorithm for subfunction: The algorithm fo...

Algorithm for subfunction: The algorithm for subfunction askforn is as shown:  Prompt the user for the positive integer n.  Loop to print an error message and reprom

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

Example of plotting from a function, Example of Plotting from a Function: ...

Example of Plotting from a Function: For illustration, the function can be called as shown below:      >> y = [1:2:9].^3      y =     1  27  125  343  729

Modular programs, Modular programs: In a modular program, the answer i...

Modular programs: In a modular program, the answer is broken down into modules, and each is executed as a function. The script is usually known as the main program. In orde

Example of menu driven modular program, Example of Menu driven modular prog...

Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n

Is functions in matlab, IS Functions in Matlab: There are many functio...

IS Functions in Matlab: There are many functions which are built into MATLAB which test whether or not something is true; these function names start with the word is. As these

Video shot boundary detection, I dont know how to input different videos o...

I dont know how to input different videos on matlab program

Illustration of if - else statement, Illustration of if - else statement: ...

Illustration of if - else statement: The one application of an if-else statement is to check for errors in the inputs to a script. For illustration, a former script prompted t

Implementation of binary search, Implementation of binary search: The ...

Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re

Print from the structure, Print from the structure: To print from the ...

Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99

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