Determine the period of each of the following discrete-time signals (if a signal is not periodic, denote its period by infinity)
a) cos(2pi0.15n)
b) cos(2n);
c) cos(pi0.3n) + cos(pi0.4n).

Answers

Answer 1

Answer:

a) it is periodic

N = (20/3)k = 20 { for K =3}

b) it is Non-Periodic.

N = ∞

c) x(n) is periodic

N = LCM ( 5, 20 )

Explanation:

We know that In Discrete time system, complex exponentials and sinusoidal signals are periodic only when ( 2π/w₀) ratio is a rational number.

then the period of the signal is given as

N = ( 2π/w₀)K

k is least integer for which N is also integer

Now, if x(n) = x1(n) + x2(n) and if x1(n) and x2(n) are periodic then x(n) will also be periodic; given N = LCM of N1 and N2

now

a) cos(2π(0.15)n)

w₀ = 2π(0.15)

Now, 2π/w₀ = 2π/2π(0.15) = 1/(0.15) = 1×20 / ( 0.15×20) = 20/3

so, it is periodic

N = (20/3)k = 20 { for K =3}

b) cos(2n);

w₀ = 2

Now, 2π/w₀ = 2π/2) = π

so, it is Non-Periodic.

N = ∞

c)  cos(π0.3n) + cos(π0.4n)

x(n) = x1(n) + x2(n)

x1(n) = cos(π0.3n)

x2(n) =  cos(π0.4n)

so

w₀ = π0.3

2π/w₀  = 2π/π0.3 = 2/0.3 = ( 2×10)/(0.3×10) = 20/3

∴ N1 = 20

AND

w₀ = π0.4

2π/w₀  = 2π/π0. = 2/0.4 = ( 2×10)/(0.4×10) = 20/4 = 5

∴ N² = 5

so, x(n) is periodic

N = LCM ( 5, 20 )


Related Questions

Joe, a technician, is attempting to connect two hubs to add a new segment to his local network. He uses one of his CAT5 patch cables to connect them; however, he is unable to reach the new network segment from his workstation. He can only connect to it from a workstation within that segment. Which of the following is MOST likely the problem?
A. One of the hubs is defective.
B. The new hub is powered down.
C. The patch cable needs to be a CAT6 patch cable.
D. The technician used a straight-through cable.

Answers

Answer:

Option D. is correct

Explanation:

Joe uses one of his CAT5 patch cables to connect two hubs to add a new segment to his local network. As he can only connect to it from a workstation within that segment,  he is not able to reach the new network segment from his workstation.

The most problem is that the technician used a straight-through cable.

Option D. is correct.

Examine the pressure-measuring device shown in the figure below. (a) What is the gauge pressure reading in psi at point A? (b) What is the pressure difference between point A and B? (c) Which is higher, pressure at point A or at point B? (d) What is the absolute pressure in psi at point D? State any assumptions you made

Answers

Answer: 45

Explanation:just cuase I need to

Consider the following statement concerned with the collection of data, and determine the best selection of terms to complete the statement: "The entire group of objects or peopleabout which information is wanted is called the __________ . Individual members are called _____________. The _________is the part that is actually examined in order to gather information.

a. population, units, sample
b. sample, units, target population
c. response group, respondents, nonresponse group
d. population, dependend variables, subgroup

Answers

Answer:

a. population, units, sample

Explanation:

In a survey or in a research, population is defined as the total number of people or total number of items in the group that we want to study in a research. It is the entire pool from where a sample is drawn.

An unit is defined as the individual members for which the information or data is collected.

A sample is defined is defined as the group or part of the selection from where the information or data is to be obtained.

The overall group of people should be known as the population.

The individual members should be units

And, the sample represents the part that should be examined.

What are population, units, and the sample?

The population refers to the total no of people or items that are required to be studied for the research purpose. In this, the sample should be drawn. The unit refers to the individual members due to which the data should be collected. And, the sample means the portion of the selection from where the data should be collected.

Therefore, the option a is correct.

learn more about population here: https://brainly.com/question/19203964

At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals. It is noted that no cars arrive in 18 of these 120 intervals. Approximate the number of these 120 intervals in which exactly three cars arrive. Estimate the percentage of time headways that will be 10 seconds or greater and those that will be less than 6 seconds.

Answers

Do you listen to lil uzi vert because he has been dropping some bars

In the context of electronics, the term "ground" is often used to refer to:

1: the negative battery terminal
2:the breadboard
3:the circuit diagram
4:the components
Which one is the answer

Answers

Answer:

1: the negative battery terminal

Explanation:

When we design and develop an electrical circuit in electrical and electronics engineering, it is important that we define a reference point for all electronic signals from which we can measure voltage. Although, the voltage passing through a reference point in an electrical circuit is typically 0 Volts.

Also, a ground is a common return path in an electrical circuit for the current flowing through the circuit.

When working on a direct current (DC) circuit that is mainly operated using a battery, the negative terminal of the battery would be the ground (reference point) for all the components connected to the electrical circuit.

Hence, in the context of electronics, the term "ground" is often used to refer to the negative battery terminal.

Many farms and ranches use electric fences to keep animals from getting into or out of specific pastures. When switched on, an electric current is produced in the fence. When an animal touches the electrified fence, it receives a small shock. What material would be the best choice for making an effective electric fence, and why?

Answers

Answer:

Aluminum

Explanation:

The best material to use when creating an electric fence would be Aluminum. Aluminum wiring is incredibly durable and can be easily obtained. Since aluminum is a non-magnetic metal its conducting capabilities far exceed other metallic options in the market and is also why companies choose aluminum for their high tension cable wiring. Aside from being more expensive than other feasible options its durability and conducting capabilities make it easily the best option.

Answer:

Steel Wires

Explanation:

International house of pancakes

An NMOS transistor with kn = 1mA/V2 and Vt = 1V is operated with VGS = 2.5V. At what value of VDS does the transistor enter the saturation region? What value of ID is obtained in saturation?

Answers

Answer:

a) the point at which the transistor enters the saturation region is 1.5 v

b) the value of ID is obtained in saturation is 1.125 mA

Explanation:

Given the data in the question;

for an NMOS, the condition for the saturation is;

V_DS ≥ V_GS - V_t

V_GS is 2.5 v and V_t is 1 v

so we substitute

V_DS ≥ 2.5 - 1

V_DS = 1.5 v

so the point at which the transistor enters the saturation region is 1.5 v

The drain current I_d in the saturation region;

I_d = 1/2×μₙ×Cₐₓ×W/L×( V_GS - V_t)²

= 1/2Kₙ (  V_GS - V_t)²

our Kₙ is 1 mA/V², V_GS is 2.5v and V_t is 1 v

so we substitute

I_d = 1/2(1 mA/V²)( 2.5 - 1 )²

= 1/2(1 mA/V²)( 2.25)

= 1.125 mA

therefore, the value of ID is obtained in saturation is 1.125 mA

Unionized workers often earn more money than non-unionized workers.
O False
O True

Answers

I think it might be false correct me if I’m wrong

Answer:

Its true

Explanation:

false is wrong because I chose it and got it wrong lol

Which option identifies the type of engineer described in the following scenario?

Sean is an engineer whose current project is a skyscraper in Richmond, VA. He relies heavily on geometry in his research of building design.

Material

Civil

Mechanical

Chemical​

Answers

Answer:

civil

Explanation:

mark be branilist

Answer:

Civil

Explanation:

civil engineering – the application of planning, designing, constructing, maintaining, and operating infrastructure while protecting the public and environmental health, as well as improving existing infrastructure that may

Distinguish and describe the stage of the product development life cycle reflected in the following scenario.

Mindy, a recent transplant to the Midwest from the Southwest, has a great idea for building a corn roaster and taking it to state and county fairs and festivals in Michigan and Minnesota. However, she determines that the cost to grow sweet corn throughout the year would be prohibitively expensive.

Answers

Answer:Very productive

Explanation:

World Without Engines: Explain what todays world without engines would be like? How would it change your life? The world? The way we do things? Please write in paragraph format and include introduction, body, and conclusion. DON'T ANSWER UNLESS YOU HAVE THE ANSWER!!!!!!!!! I WILL MARK BRAINLYEST

Answers

Answer:

the world will not be the same it will change dramticily and

things will not be the same

Explanation:

Implement the following Matlab code:
x=zeros(10,128);
t1=[0:1/128:1-1/128];
z=cos(2*pi*2*t1);
x(1,:)=z;
x=reshape(x,1,1280);
figure(1);
plot(x)
Examine Figure 1 – what does it “look like”? Zoom in. Take the FFT of x and explain what you see.
Manipulate the FFT and perform the IFFT to create a signal which is a continuous (i.e. no interpolating zeroes) sinusoid in the “time” domain. Explain the amplitude of the sinusoid.

Answers

28384 *x soít cos estematema

The amplitude of the sinusoid is 28384 *x soít cos.

What is amplitude?

Amplitude is defined as the greatest deviation from equilibrium of a point on a vibrating body or wave in terms of displacement or distance traveled. In most cases, amplitude is calculated by looking at a wave graph and determining the height of the wave from rest. The strength or intensity of the wave is gauged by its amplitude.

Sinusoid is defined as a signal with sine wave characteristics. In the liver, spleen, and bone marrow, sinusoids and irregular tubules transport blood in place of venules and capillaries. The sine or cosine functions from trigonometry form the foundation of sinusoidal signals, which are periodic functions.

Thus the amplitude of the sinusoid is 28384 *x soít cos.

To learn more about amplitude, refer to the link below:

https://brainly.com/question/8662436

#SPJ2

Single-use earplugs require a professional fitting before they can be used.

Answers

what are you asking? are you asking if it is true or false? sorry :(( i can help you tho!

Ordan has _ 5 8 can of green paint and _ 3 6 can of blue paint. If the cans are the same size, does Jordan have more green paint or blue paint? Explain.

Answers

Answer:

Jordan has more green paints

Explanation:

Given

[tex]Green = \frac{5}{8}[/tex]

[tex]Blue = \frac{3}{6}[/tex]

Required

Which paint does he have more?

For better understanding, it's better to convert both measurements to decimal.

For the green paint:

[tex]Green = \frac{5}{8}[/tex]

[tex]Green = 0.625[/tex]

For the blue paint:

[tex]Blue = \frac{3}{6}[/tex]

[tex]Blue = 0.5[/tex]

By comparison:

[tex]0.625 > 0.5[/tex]

This means that Jordan has more green paints

What role does the president play in developing the federal budget?
A. The president has control over all discretionary spending in the
budget.
B. The president either vetoes the budget and sends it back to
Congress or signs it into law.
C. The president determines which spending programs will be
mandatory.
D. The president decides whether to approve the House or the Senate
spending bill.

Answers

The role a president plays in developing the federal budget is: B. The president either vetoes the budget and sends it back to Congress or signs it into law.

What is a federal budget?

A federal budget can be defined as a financial plan that is used by the government for the estimation of the revenue and expenditures of a country, especially for a specified period of time, which is often one year.

This ultimately implies that, federal budgets are usually compiled, analyzed and re-evaluated on periodic basis by the executive or federal government of a country.

Generally, the role of a president in developing the federal budget is to either veto the budget and sends it back to Congress or sign it into law.

Read more on budget here: https://brainly.com/question/13964173

Answer:

Explanation:

B. The president either vetoes the budget and sends it back to

Congress or signs it into law.

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