Consider M bandpass signals in the form sm(t) = ReſAmg(t)el2rt of where Am's are arbitrary complex numbers and g(t) is a real lowpass signal with energy Eg. a. What are the lowpass equivalent signals of sm(t) with respect to fo? b. Give an orthonormal basis for the lowpass equivalents of sm(t). Write the lowpass equivalents in terms of the orthonormal basis. c. Give an orthonormal basis for Sm(t)'s.

Answers

Answer 1

The explanation covers the concept of lowpass equivalent signals, which are used to represent bandpass signals. It discusses the use of orthonormal bases for both the lowpass equivalents and the Sm(t)'s, which are the modulation functions in M bandpass signals.

The provided derivation explains how to obtain these orthonormal bases in detail.

a. The lowpass equivalent signals of sm(t) with respect to fo are given by the envelope of the signal Amg(t) multiplied by a complex exponential ej2πfot, where fo is the center frequency of the bandpass signal.

b. An orthonormal basis for the lowpass equivalents of sm(t) can be obtained by taking the Fourier transform of g(t) and then shifting the resulting frequency domain representation to fo. This gives a set of orthonormal basis functions, {φm(t)}, where each φm(t) is the inverse Fourier transform of the shifted version of the m-th frequency component of G(f). The lowpass equivalents of sm(t) can then be expressed as a linear combination of the orthonormal basis functions: S(t) = ∑Amφm(t).

c. An orthonormal basis for Sm(t)'s can be obtained by taking the Fourier transform of sm(t) and then shifting the resulting frequency domain representation to fo. This gives a set of orthonormal basis functions, {ψm(t)}, where each ψm(t) is the inverse Fourier transform of the shifted version of the m-th frequency component of g(t). The Sm(t)'s can then be expressed as a linear combination of the orthonormal basis functions: Sm(t) = ∑Bmψm(t).

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Related Questions

How are humidity and precipitation related?
A. When humidity is low, the chance of precipitation is high.
b.When humidity is high, the chance of precipitation is high.
c.When humidity is high, the chance of precipitation is low.
d.Changes in humidity do not cause precipitation.

Answers

Answer:

Relative humidity depends on the amount moisture actually in the air at some temperature to the amount of moisture that the air can hold.

For instance, at 25 deg C the air has a saturation pressure of 23.76 mm of Hg.

That means that if at that temperature the pressure of the water vapor in the air reaches 23.76 mm Hg then the air is 100% saturated.

I believe the standard air pressure at 25 deg C is 760 mm Hg.

Now if the pressure of the water vapor in the air is 1/2 * 23.76 = 11.88 mm then the air is 50% saturated and the relative hunidity is 50 %.

At 100% relative humidity rain occurs (the air can't hold any more water).

When humidity is high, the chance of precipitation is high. The correct answer is b. When humidity is high, the chance of precipitation is high.

The amount of moisture or water vapor in the air is referred to as humidity. Relative humidity is a common way to measure it since it shows how much moisture the air is holding relative to how much it could contain at a particular temperature.

Any type of water that falls from the atmosphere and makes it to the surface of the Earth is referred to as precipitation. Examples include rain, snow, sleet, and hail.

When humidity levels are high, there is a lot of moisture in the air, which increases the possibility that saturation will occur. Excess water vapor condenses into visible water droplets or ice crystals as the air gets saturated, creating clouds. Condensed moisture in the clouds eventually gains enough weight to return to Earth as precipitation.

Therefore, when humidity is high, the chance of precipitation is high. The correct answer is:

b. When humidity is high, the chance of precipitation is high.

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PLEASEEE HURRY!!
Can you tell me How the sun is responsible for all of the energy here on Earth?

Answers

Answer:

Explanation:

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays.

The equation below represents the process that you observed. Balance the equation. What type of reaction?
6CO2 + 6H2O + light energy = 0C6H12O6 + 6O2 _______________________

Answers

That looks like photosynthesis to me and I think that should be an endothermic reaction because it requires energy.

An object’s momentum includes its __________.

Answers

Answer: Momentum can be defined as "mass in motion

Explanation:

What is the net force in this image?


a
8000 N right
b
5000 N right
c
4000 N right
d
4000 N left
e
5000 N left
f
8000 N left

Answers

Answer:

4000N left

Explanation:

6000N-1000N-1000N

6000N-2000N

8000N

Discuss how the motion of the stunt cyclist relates to the forces acting on the stunt cyclist during the collision

Answers

Answer:

hello your question is incomplete hence I will give you a general answer on how a stunt cyclist performs his stunts successfully

answer ;

The stunt cyclist trying to perform some sort of stunt with the bicycle will be faced with some forces like the static fiction between the tires of the bicycle and wall and also a centripetal force.

In order to overcome the centripetal force the minimal grip of the bicycle must be equal to the weight and the speed at which the cyclist must go can be represented as :

[tex]V_{min} = \sqrt{\frac{r.g}{u} }[/tex]

Explanation:

The stunt cyclist trying to perform some sort of stunt with the bicycle will be faced with some forces like the static fiction between the tires of the bicycle and wall and also a centripetal force.

In order to overcome the centripetal force the minimal grip of the bicycle must be equal to the weight and the speed at which the cyclist must go can be represented as :

[tex]V_{min} = \sqrt{\frac{r.g}{u} }[/tex]

where ; r = radius of the tunnel where the stunt is to be performed

            g = gravitational speed

            u = coefficient of static friction

A 2.0kg pendulum swings from point A of a height of 0.10m to a point B of the same height. The heights are relative to the lowerst height. What is the change in gravitational potential energy from A to B?

Answers

Please press “Thanks!” after viewing my answer:
The change in Gravitational Potential Energy (GPE) is actually 0! Think about it:
What is the formula for it?
Well, GPE = mgh.
So, when the height is the same in both cases, we know the gravitational potential energy is the same. Therefore, change in GPE = 0.
Sure, GPE did transform to KE during the swing, but all of that KE transformed back into the original amount of GPE.

Hope this helped! Please press “Thanks!”

A 2.0 kg pendulum swings from point A of height yA = 0.10 m to point B of the same height. The heights are relative to the lowest height.

What is the change in gravitational potential energy from A to B?

Answer: 0 J

You have a working electrical parallel circuit with three light bulbs, then 1 bulb burns
out.
Describe how electric current flows through the parallel circuit after 1 of the 3 bulbs
burns out?

Answers

Answer:

but the answer should be no as if 3 bulbs are connected together if one burns out the whole circuit will stop .hope you understood

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3. The only way to protect against the damage from a collision is to reduce the
by wearing what protective football gear?

Answers

some knee pads for soccer

The effect of collision during a soccer game can be minimized by wearing a shin protection gear called the shin guard.

The protection gear is usually worn in other to palliate the effect of collison during sporting activities.

As for football, the most vulnerable part of the body which is usually prone to damage during collision is the shin or knee.

Therefore, players often wear shin protection gear in other to minimize the risk of damage during collision.

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Please help!!!!!!:>>>>>>

Answers

Answer: 6V

Explanation: parallel circuit, the voltage is the same for each resistor.

Explain why the radiative zone of the sun is hotter than the corona of the sun

Answers

Answer: Because The spectra provided evidence to explain why the sun's atmosphere is so much hotter than its surface. ... Clear evidence now suggests that the heating mechanism depends on regular, but intermittent explosive bursts of heat, rather than on continuous gradual heating.

Explanation:

Use the image to answer the question. Which process enables the boy to see
over the wall?
A.diffraction
B.interference
C.reflection
D.refraction

Answers

HELLO

İ THİNK D

WHY D?

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A 6kg bowling ball is rolled down the bowling lane with a force of 42N, what is the acceleration of the ball?

Answers

Answer:

7 m/s²

Explanation:

F= ma

A= F/m = 42/6 = 7 m/s²

True or false: Energy is everything and the whole universe is governed by energy

Answers

Answer:

True

Explanation:

I took the test

What type of wave is this. I can figure it out

Answers

Transverse wave is the correct option

A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is her acceleration? Is the acceleration higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds? How do you know?

Answers

Answer:

Acceleration of one cyclist=[tex]2.67m/s^2[/tex]

Yes, the acceleration is higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds.

Explanation:

We are given that

Initial velocity of one cyclist, u=0 m/s

Final velocity of one cyclist, v=8m/s

Time, t=3 s

Initial velocity of another cyclist, u'=0

Final velocity of another cyclist, v'=30m/s

Time, t'=8 s

We know that

Acceleration, [tex]a=\frac{v-u}{t}[/tex]

Using the formula

[tex]a=\frac{8-0}{3}=\frac{8}{3}=2.67m/s^2[/tex]

Acceleration of one cyclist=[tex]2.67m/s^2[/tex]

Acceleration of another cyclist, a'=[tex]\frac{30-0}{8}m/s^2[/tex]

Acceleration of another cyclist, a'=[tex]3.75m/s^2[/tex]

Yes, the acceleration of another cyclist is higher than the cyclist which accelerates from 0m/s to 8m/s.

water is used in car radiators as coolant because of​

Answers

Water is used as a coolant in automobiles radiators because it has high specific heat capacity. So, it absorbs a large amount of heat for a degree rise in temperature.

You have two lens A and B of focal length +50cm and -50cm respectively. The nature and power of the lenses respectively isa. Concave, -2 D ; Convex, +2 D b. Convex, +2 D; Concave, - 2 D

Answers

Answer:

Concave, +2D

Convex -2D

Explanation:

Power of a lens is the reciprocal of its focal length.

For lens of +50cm = 0.5m

Power of the lens = 1/0.5

Power of the lens = +2Dioptres

Since the focal length is positive, the lens is concave

For the lens of -50cm = -0.5m

Power = 1/-0.5

Power = -2D dioptres

Since the focal length is negative, the lens is convex

PLS ANSWER FAST TIMED TEST WILL GIVE BRAINLY!!!!!!!!!


True or False?
It is easier to carry an empty backpack than a backpack full of books. This is an example of Newton’s 2nd law.

Answers

the answer would be true

Answer:

The answer iis true

Explanation:

It is much easier to carry your backpack when it is empty rather than when it's full of textbooks (or soaked from the rain).

what is the resistance of an object that produces a current of a 6 A and has a voltage of 30 ​

Answers

Answer:

this is the answer the required questions

hope you like this

John is hiking and notices a small stream of water flowing down the side of the mountain. What part of the water cycle is John observing?
Question 3 options:

Runoff

Evaporation

Condensation

Precipitation

Answers

Answer:

A runoff

Explanation: A runoff is when frozen water melts so if it falls down a mouantan there probably melting ice hope this helps :} pls give brainlest

John is hiking and notices a small stream of water flowing down the side of the mountain. In this John is experiencing runoff of the water cycle. Thus, the correct option is A.

What is Runoff?

Surface runoff is the flow of water which is occurring on the ground surface when there is excess rainwater, storm water, melt water, or other sources of water, which can no longer sufficiently rapidly infiltrate in the soil of the region.

Runoff occurs in the excessive rainwater and it saturates the ground surface. Rivers and lakes are the results of water runoff. There is some evaporation from the water runoff into the atmosphere however for the most part water in the rivers and lakes returns back to the oceans.


Therefore, the correct option is A.

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A 12 kg object speeds up from an initial velocity of 10 m/s north to a final velocity of 15 m/s north. Calculate the change in momentum

Answers

Answer:

60m/s

Explanation:

momentum = Mass × Velocity

Initial Momentum = 12 × 10

= 120

Final Momentum = 12×15

=180

Change in Momentum = 180 - 120

= 60m/s

Answer:

60

Explanation:

formula for change in momentum = F =∆p/∆t

F∆t = ∆p

∆p = m(v - Vo)

∆p = 12(15-10)

=12(5)= 60


Unlike Electromagnetic waves, Mechanical waves need a to
transfer energy

Answers

yes they transfer waves in order to get energy of mechanical

what makes magnets work

Answers

A magnet is any material or object that produces a magnetic field. This magnetic field is responsible for the property of a magnet: a force that pulls on other ferromagnetic materials and attracts or repels other magnets.

Can someone help me?in the phy

Answers

Answer:

so your answer is gonna be the first one which is A

Are moons 1-4 waxing are waning ?

Answers

Answer:

I want to help you but i cant.

Explanation:

please provide a screenshot or photos of moons 1-4

Identify the following as
Potential Energy or Kinetic Energy
1. A car in the driveway. Potential energy
2. Matt rolling down a hill. Kinetic energy
3. Katie and Leo kissing.
4. A battery on my desk.
5. The water just before it goes down a waterfall.
6. A lawnmower running.
7. Mrs. Rey yelling at you.
8.A toy
9.A table with a spread of food
10. The kids playing on the bus.

Answers

3. Kinetic energy
4. Potential energy
5. Kinetic energy because it’s moving towards the waterfall otherwise there wouldn’t be a waterfall.
6. Kinetic energy
7. Kinetic energy
8. Potential energy
9. Potential energy
10. Kinetic energy

The Purpose Of Stretching Is :
A. To increase your flexibility
B.To increase your range of motion during workout
C.To increase blood flow to the muscles
D. All of the above

Answers

Answer:

all of the above are correct

Explanation:

hope it helps you

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All of the above is correct

Car manufacturers use radiation for which task? sealing windows drying paint cleaning tires lubricating engines

Answers

Answer: drying paint

Explanation:

From the options that are given in the question, we should note that car manufacturers use radiation for drying paint.

The radiation is vital as it keeps the car cool and also helps in the reduction if heat in the vehicle. The other options such as sealing windows, cleaning tires and lubricating engines aren't true as radiation isn't used for that purpose by the car manufacturers.

Answer:

drying paint

Explanation:

A beam of light has a wavelength of 5.06*10^ ^ 7m What is the frequency of the light?

Answers

Answer:

59.23499537

Explanation:

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