



This module is the recursive cosine generation lab.
Skills
In this laboratory you write a program that generates a cosine on the output of the D/A converter. After this laboratory you should:
 Be able to work with transfer functions and difference equations.
 Be able to get a Visual Basic program to communicate with your DSP program on the DSK board.
Reading
 Chapter 4: Emmanuel Ifeachor and Barrie W. Jervis,
Digital Signal Processing: A Practical Approach , Pearson Education Limited, England, 2002.
 Chapter 13&14: Mrinal Mandal, Amir Asif,
Continuous and Discrete Time Signals and Systems , Cambridge University Press, 2007.
Description
In this lab you will be making a cosine function generator. This will require you to generate the values that go to the D/A converter in order to produce a cosine function. Since we are only concerned with the output, the input values will be ignored. You will need to determine the values of the cosine function necessary to produce it on the output.
Prelaboratory
 In order to generate a cosine function we will generate the impulse response of a system that has the impulse response
$h(n)=\text{cos}(\mathrm{\alpha n})u(n)$
 For the given impulse response find the following:
 Transfer function of the system. Look it up in a ZT table.
 Direct Form II structure of the system.
 Pole/zero diagram of the system. Assume
α = π/4 for the example diagram.
 Difference equation of the system.
 Calculate
h (0),
h (1), and
h (2) assuming the input is an impulse
x (
n ) = δ(
n ). Simplify the
h (2) term.
 Show how you will recursively determine the impulse response of this system.
 Suppose the sample rate of the system is 8000 Hz and we want to generate a cosine with a frequency of 500 Hz, what should
α be to implement this cosine function?
 In MATLAB, write a program that will recursively determine the impulse response of this system with sample rate 8000Hz and cosine of 400 Hz. Put the data into an array and plot the impulse response. Generate 100 points. Compare the recursively generated values to the direct calculation of the cosine function.
 Modify the while loop Write a program in C that will recursively determine the impulse response of this system.
 The recursive portion should be in an infinite
while
loop and the data should not go into an array but in a single variable.
 All of the variables should be of type
double
.
 In your program you will need to include the header file
math.h
.
 The data we are generating is for the D/A converter. The D/A converter accepts
Int16
type data which has the limits of [32768, 32767]. Since the impulse response has the limits [1, 1]you will need to multiply the result by a number to scale the value up to a level that will work with the D/A converter without overflowing. Use the value
32000.0
. The statement will be something like
(Int16)(32000.0*y)
.
 To calculate
π , use the following statement:
pi=16.0*atan(1.0/5.0)4*atan(1.0/239.0);
Laboratory
Part 1
 Use the sample I/O program for the DSK and generate a 400 Hz cosine sampled at 8000 Hz using the recursive program you developed.
 Change the frequency of the cosine to at least 2 other values from about 50 Hz to 4000 Hz and record the results.
 What happens when you change the frequency of the cosine to 5000 Hz? Explain what you see.
Questions & Answers
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
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
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?
What is meant by 'nano scale'?
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
what is Nano technology ?
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
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
nano basically means 10^(9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
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Source:
OpenStax, Dsp lab with ti c6x dsp and c6713 dsk. OpenStax CNX. Feb 18, 2013 Download for free at http://cnx.org/content/col11264/1.6
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