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

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

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

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

Algorithm for expfn function, Algorithm for expfn function: The algori...

Algorithm for expfn function: The algorithm for expfn function is as shown:  receives the value of x as the input argument.  Prints the value of exp(x).  assigns a

Reading from a file in a while loop, Reading from a File in a While Loop: ...

Reading from a File in a While Loop: Though in most languages the combination of a loop and an if statement would be essential to determine whether or not the elements in a ve

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

Algorithm for the function explaine, Algorithm for the function explaine: ...

Algorithm for the function explaine: The algorithm for the function explaine is as shown:  Print a description of e, the exp function, and how to find the approximate va

Function imread - image processing, function imread: The function imre...

function imread: The function imread can read an image file, for illustration a JPEG (.jpg) file. The function reads color images into a 3-dimensional matrix. >> myimage1

Sort algorithm for sorting vectors of structures, Sort algorithm for Sortin...

Sort algorithm for Sorting vectors of structures: Note that only the price field is compared in the sort algorithm, but the whole structure is replaced. That is therefore each

Structures, Structures: The Structures are data structures which group...

Structures: The Structures are data structures which group together values which are logically related in what are known as the fields of structure. The benefit of structures

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