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

Built-in colormaps - image processing, Built-in colormaps: The MATLAB ...

Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar

Uses of function handles, Uses of Function handles: The Function handl...

Uses of Function handles: The Function handles can also be generated for functions other than anonymous functions, both built-in & user-defined functions. For illustration, th

Forward elimination, Forward elimination: In forward elimination, we w...

Forward elimination: In forward elimination, we want to obtain a 0 in the a 21 position. To accomplish this, we can alter the second line in the matrix by subtracting from it

Filter, A matlab function to calculate filter order

A matlab function to calculate filter order

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

Plotting streamline in matlab, I have a vector of X, one for Y , one for x-...

I have a vector of X, one for Y , one for x-direction velocity U and one for y-direction velocity V. they are at same size. How can I plot streamline of that flow? I follow all exa

Printrectarea function - subfunction, printrectarea function: functio...

printrectarea function: function call: printrectarea(length, width) function header: function printrectarea(len, wid)   In the function call, there are two argume

Showing cell array elements and attributes, Referring to and Showing Cell A...

Referring to and Showing Cell Array Elements and Attributes: Just as with the other vectors, we can refer to individual elements of the cell arrays. The only difference is tha

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

Illustration of initializing the data structure, Illustration of initializi...

Illustration of initializing the data structure: illustration of initializing the data structure by preallocating is here as shown: >> cyls(3) = struct('code', 'c', 'dimen

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