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- Cosine generator lab
- Cosine generator lab
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
- 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
differentiate between demand and supply
giving examples
differentiated between demand and supply using examples
Lambiv
how is the graph works?I don't fully understand
hi guys good evening to all
Lambiv
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
Can I ask you other question?
Shukri
What is different between quantity demand and demand?
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
how do you save a country economic situation when it's falling apart
what is the difference between economic growth and development
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
any question about economics?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
What is the difference between perfect competition and monopolistic competition?
Mohammed
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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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