User Account

All Pages

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

Matrix solutions of the linear algebraic equation, Matrix solutions to syst...

Matrix solutions to systems of the linear algebraic equations: The linear algebraic equation is an equation of the form a 1 x 1 + a 2 x 2 + a 3 x 3    .  .  .  .  a n x n

Subfunctions, Subfunctions: Though, it is possible to have more than o...

Subfunctions: Though, it is possible to have more than one function in a given M-file. For illustration, if one function calls the other, the first function would be the prima

Square matrices, Square Matrices: If a matrix has similar number of ro...

Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply

Filter, A matlab function to calculate filter order

A matlab function to calculate filter order

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

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

Executing a program - modular program, Executing a program: Running th...

Executing a program: Running the program would be completed by typing the name of the script; this would call the other functions: >> calcandprintarea Whenever prompt

Derivatives and plot, Use polyval to evaluate the derivative at xder. This...

Use polyval to evaluate the derivative at xder. This will be the % slope of the tangent line, "a" (general form of a line: y = ax + b). % 4. Calculate the intercept, b, of t

Plotting file data, Plotting File data: It is frequently essential to ...

Plotting File data: It is frequently essential to read data from a file and plot it. Generally, this entails knowing the format of the file. For illustration, let us suppose t

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

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

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!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd