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

Variable scope, Variable Scope: The scope of any of variable is the wo...

Variable Scope: The scope of any of variable is the workspace in which it is valid. The workspace generated in the Command Window is known as the base workspace. As we know

Initializing the data structure - function, Initializing the data structure...

Initializing the data structure - Function: Function is shown as:   >> printcylvols(cyls) Cylinder x has a volume of 169.6 Cylinder a has a volume of 100.5

Is functions for strings, IS Functions for Strings: There are many fun...

IS Functions for Strings: There are many functions for strings, that return logical true or false. The function isletter returns the logical true when the character is a lette

Patch function - graphics objects, Patch function - graphics objects: ...

Patch function - graphics objects: The patch function is used to generate a patch graphics object, which is made from 2-dimensional polygons. The patch is defined by its verti

True color matrice - image processing, True color matrice: The true co...

True color matrice: The true color matrices are the other way to represent images. The true color matrices are 3-dimensional matrices. The first two coordinates are the coordi

Interchange rows - gauss-jordan elimination, Interchange rows : for illust...

Interchange rows : for illustration interchanging rows ri and rj is written as

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

Program to counting in a while loop, Program to Counting in a while loop: ...

Program to Counting in a while loop: The script initializes variable counter to 0. Then, in the while loop action, each and every time the user successfully enter a number, th

Illustration of gauss elimination, Illustration of Gauss elimination: ...

Illustration of Gauss elimination: For illustration, for a 2 × 2 system, an augmented matrix be: Then, the EROs is applied to obtain the augmented matrix into an upper

Ischar function - string, ischar function: The ischar function return ...

ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =

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