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One way that the correlation might fail to find the correct location of the header is if the header string accidently occurredin the data values. If this happened, then the correlation would be as large at the “accidental” location as at the intendedlocation. This becomes increasingly unlikely as the header is made longer, though a longer header also wastes bandwidth.Another way to decrease the likelihood of false hits is to average over several headers.

Rerun correx.m with different length data vectors (try l=100 , r=100 and l=10 , r=10 ). Observe how the location of the peak changes.

Rerun correx.m with different length headers. Does the peak in the correlation become more or less distinct asthe number of terms in the header increases?

Rerun correx.m with different amounts of noise. Try sd=0, .1, .3, .5, 1, 2 . How large can the noise be made if the correlation is still to find the true location of the header?

The code in corrvsconv.m explores the relationship between the correlation and convolution. The convolution of twosequences is essentially the same as the cross-correlation of the time-reversed signal, except that the correlation is padded with extra zeroes.(The M atlab function fliplr carries out the time reversal.) If h is made longer than x , what needs to be changed so that yconv and ycorr remain equal?

h=[1 -1 2 -2 3 -3];                 % define sequence h[k]x=[1 2 3 4 5 6 -5 -4 -3 -2 -1];     % define sequence x[k]yconv=conv(x,h)                     % convolve x[k]*h[k]ycorr=xcorr(h,fliplr(x))            % correlation of flipped x and h
corrvsconv.m comparing correlation and convolution (download file)

Receive filtering: from signals to symbols

Suppose that a message has been coded into its alphabet, pulse shaped into an analog signal, and transmitted.The receiver must then “un–pulse-shape” the analog signal back into the alphabet, which requires finding wherein the received signal the pulse shapes are located. Correlation can be used to accomplishthis task, because it is effectively the task of locating a known sequence (in this case the sampled pulse shape) within a longersequence (the sampled received signal). This is analogous to the problem of finding the header within thereceived signal, although some of the details have changed. While optimizing this procedure is somewhat involved (and istherefore postponed until Chapter  [link] ), the gist of the method is reasonably straightforward,and is shown by continuing the example begun in pulseshape.m .

The code in recfilt.m below begins by repeating the pulse shaping code from pulseshape.m , using the pulse shape ps defined in the top plot of [link] . This creates an “analog” signal x that is oversampled by a factor M . The receiver begins by correlating the pulse shapewith the received signal, using the xcorr function. Because of the connections between cross-correlation, convolution, and filtering, this process is often called pulse-matched filtering because the impulse response of the filter is matched to the shape of the pulse. After appropriate scaling, this is downsampled to the symbol rate by choosing one out of each M (regularly spaced) samples. These values are then quantized to thenearest element of the alphabet using the function quantalph (which was introduced in Exercise  [link] ). The function quantalph has two vector arguments; the elements of the first vector are quantized to the nearest elementsof the second vector (in this case quantizing z to the nearest elements of [ - 3 , - 1 , 1 , 3 ] ).

Questions & Answers

how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
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William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
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Source:  OpenStax, Software receiver design. OpenStax CNX. Aug 13, 2013 Download for free at http://cnx.org/content/col11510/1.3
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