1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
scZoUnD [109]
3 years ago
8

Use the convolutional integral to find the response of an LTI system with impulse response ℎ(????) and input x(????). Sketch the

output signal. a) x(????) = ????(????) and ℎ(????) = ????????(????) b) x(????) = ????????c???? ( ???? 2???? ) and ℎ(????) = exp(−????????) ????(????) (You may write ????????c???? ( ???? 2???? ) as ????(???? + ????) − ????(???? − ????).)
Engineering
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

Use the convolution integral to determine the output of an LTI system with impulse response h(t) to input x(t) specified below.

h(t) = 4e^-6t-1 u(t+1) x(t)=2u(t – 2)

Explanation:

y(t)=∫0th(t−λ)f(λ)dλ

Start with a linear time-invariant (LTI) system (in box).  There is an input to the system, x(t), and an output from the system, y(t).

Now consider the same system with the input as an impulse, δ(t).  The output is then, by definition, the impulse response, h(t).

If we use a delayed impulse into the system, the output is just the impulse response with the same delay.

Because of linearity, if we scale the input by any factor, the output will be scaled by the same factor.  In particular, we can scale the input (and hence the output) by the factor x(λ)dλ.

If we integrate the input, the output is also integrated.  In this case we'll take the upper limit of the integration to be t+; but it could just as well have been positive infinity.  We could also take the lower lower limit to be negative infinity.

By the sifting property of the impulse function we know that (if λ>0, t>0):

     

∫0tδ(t−λ)x(λ)dλ=x(t)

Therefore the input to the system is x(t)

If the input is x(t), then the output must be y(t) (by definition, from the first diagram).  

Equating the outputs of the last two diagrams leads directly to the convolution theorem:

y(t)=∫0th(t−λ)f(λ)dλ

You might be interested in
What process is used to remove collodal and dissolved organic matter in waste water ​
Juli2301 [7.4K]

Answer:

Aerobic biological treatment process

Explanation:

Aerobic biological treatment process in which micro-organisms, in the presence of oxygen, metabolize organic waste matter in the water, thereby producing more micro-organisms and inorganic waste matter like CO₂, NH₃ and H₂O.

3 0
2 years ago
What is the formula for measuring the speed of an object
STALIN [3.7K]
S= d/t
Speed= distance/time
8 0
3 years ago
Typical noise associated with failed cv joint​
igor_vitrenko [27]

Answer:

A worn inner CV joint often makes a clunking noise during starts and stops.

3 0
2 years ago
A small pad subjected to a shearing force is deformed at the top of the pad 0.08 in. The height of the pad is 1.38 in. What is t
Aleksandr-060686 [28]

Answer:

The shear strain is 0.05797 rad.

Explanation:

Shear strain is the ratio of change in dimension along the shearing load direction to the height of the plate under application of shear load. Width of the plate remains same. Length of the plate slides under shear load.

Step1

Given:

Height of the pad is 1.38 in.

Deformation at the top of the pad is 0.08 in.

Calculation:

Step2

Shear strain is calculated as follows:

tan\phi=\frac{\bigtriangleup l}{h}

tan\phi=\frac{0.08}{1.38}

tan\phi= 0.05797

For small angle of \phi, tan\phi can take as\phi.

\phi = 0.05797 rad.

Thus, the shear strain is 0.05797 rad.

7 0
3 years ago
In response to the market revolution:the legal system worked with local governments to find better ways to regulate entrepreneur
Nataliya [291]

Answer:

Local judges protected businessmen from paying property damages associated with factory construction and from workers seeking to unionize.

Explanation:

The Market Revolution is the name given to change in the economy that occurred in the 19th century. This drastic change led to various important changes in the United States and across the world. During this period, capitalism became more entrenched and society became, for the first time, predominantly capitalist. This gave businessmen great power, as they played an increasingly important role when it came to economic growth. The power that they had influenced society deeply, including legislation. Judges often protected businessmen from paying property damages that were associated with their business enterprises. Moreover, workers had few rights and protections, and judges prevented them from unionizing.

5 0
3 years ago
Other questions:
  • It is not a practical proposition to take direct measurements in nanoscale, but we can estimate variations in position and momen
    15·1 answer
  • Which career related to architecture deals with the planning of entire cities and focuses on designing and arranging buildings,
    9·2 answers
  • The flatbed truck carries a large section of circular pipe secured only by the two fixed blocks A and B of height h. The truck i
    14·2 answers
  • A fluid of specific gravity 0.96 flows steadily in a long, vertical 0.71-in.-diameter pipe with an average velocity of 0.90 ft/s
    5·2 answers
  • Evaporation in Double-Effect Reverse-Feed Evaporators. A feed containing 2 wt % dissolved organic solids in water is fed to a do
    14·1 answer
  • A three-phase transformer bank consists of 3 single-phase transformers to handle 400 kVA witha 34.5kV/13.8kV voltage ratio. Find
    7·1 answer
  • : A cyclical load of 1500 lb is to be exerted at the end of a 10 in. long aluminium beam (see Figure below). The bar must surviv
    6·1 answer
  • What is 203593^54/38n^7
    6·1 answer
  • Which of the following units of measurement is denoted by a single apostrophe mark (')?
    6·1 answer
  • Question 6
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!