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

Image processing, Image Processing: The Images are represented as grid...

Image Processing: The Images are represented as grids, or matrices, of picture elements (known as pixels). In MATLAB an image usually is represented as a matrix in which each

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

Use of while loop, Use of While loop: Here is an illustration of calli...

Use of While loop: Here is an illustration of calling the function, passing 5000 for the value of the input argument high. >> factgthigh(5000) ans = 5040 The itera

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

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

Function fieldnames - structure functions, Function fieldnames - structure ...

Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel

Filter, A matlab function to calculate filter order

A matlab function to calculate filter order

Calling of function polyval, Calling of Function polyval: The curve do...

Calling of Function polyval: The curve does not appear very smooth on this plot, but that is as there are only five points in the x vector. To estimate the temperature

Execute a exponential function program, Execute a exponential function prog...

Execute a exponential function program: Running the script will take up the menu as shown in the figure: Then, what happens will totally depend on which button(s) the

Finding sums by for loop, Finding sums and products: A very general ap...

Finding sums and products: A very general application of a for loop is to compute sums and products. For illustration, rather than of just printing the integers 1 through 5, w

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