<< Chapter < Page Chapter >> Page >
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.

Pre-laboratory

  • In order to generate a cosine function we will generate the impulse response of a system that has the impulse response
h ( n ) = cos ( αn ) u ( n ) size 12{h \( n \) ="cos" \( αn \) u \( n \) } {}
  • For the given impulse response find the following:
  1. Transfer function of the system. Look it up in a ZT table.
  2. Direct Form II structure of the system.
  3. Pole/zero diagram of the system. Assume α = π/4 for the example diagram.
  4. 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.
  1. The recursive portion should be in an infinite while loop and the data should not go into an array but in a single variable.
  2. All of the variables should be of type double .
  3. In your program you will need to include the header file math.h .
  4. 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) .
  5. 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

where we get a research paper on Nano chemistry....?
Maira Reply
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
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
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
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get the best Algebra and trigonometry course in your pocket!





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
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Dsp lab with ti c6x dsp and c6713 dsk' conversation and receive update notifications?

Ask