



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
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
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
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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