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

Example to change the line width from the default, Example to change the li...

Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the

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

Inverse of square matrix, Inverse of square matrix: The inverse is, he...

Inverse of square matrix: The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A,

Gauss, Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations...

Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations, there are well-defined, easy solution techniques. Though, for the larger systems of equations, finding solutio

Displaying the cell arrays, Displaying the cell arrays: There are seve...

Displaying the cell arrays: There are several techniques of displaying the cell arrays. The celldisp function shows all elements of the cell array:   >> celldisp(cellro

Illustration of image processing, Illustration of Image processing: Th...

Illustration of Image processing: This displays that there are 64 rows, or in another word, 64 colors, in this specific colormap. It also displays that the first five colors a

Illustration sorting vectors of structures, Illustration sorting vectors of...

Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi

Splits a string - strtok function, Splits a string : The strtok functi...

Splits a string : The strtok function splits a string into pieces; it can be called in many ways. The function receives one string as an input argument. It appears for the fir

Function cirarea - anonymous functions, Function cirarea - Anonymous functi...

Function cirarea - Anonymous functions: The function handle name is cirarea. The one argument is passed to the input argument radius. The body of the function is an expression

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