Consider the square pulse f(t) shown in the figure below. If we compress the pulse by a factor c > 1 and at the same time amplify its amplitude by the same factor c, we get a new function g(t) as shown in the figure (c = 2 for the given figure).
Homework Answers
![必! -St o e-st e-st 1- e - st le aら 9 Ct) : o 46() c [1-e.sk] =](http://img.homeworklib.com/images/12d426e3-ade9-43ff-8189-f1b255ce8557.png?x-oss-process=image/resize,w_560)
Add Answer to:
Consider the square pulse f(t) shown in the figure below. If we compress the pulse by a factor c ...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T,...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
Consider the function f(t) whose Laplace transform F(s) = L{f(t)} = $5+2 We know f(0) =...
Consider the function f(t) whose Laplace transform F(s) = L{f(t)} = $5+2 We know f(0) = 0 and f'(0) = 4. Answer the following questions. Please write down the numerators and the denominators separately. Use "A" for the power operation, e.g., write s^5 for 5”. • L{f"(t)}= - Lle="r() = - 19(e) = 'ermite – wsin(26) dw, men zl940)= • If g(t) = wf(t – w)s in (2w) dw, then L{g(t)}= • If y(t) = L-'{e-35F(s)}, then y(1) =D and...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I 1 -4 -3 -2 -1 0 1 2 3 4 5 6 7 t and is given by 21 (1) + 3A (132), where A is the triangle function defined as 10-{ It a It <a It > a 0 Write the Fourier transform F [A(t)] (s) of f(t) exploiting the fact that FA(t)](s) = sinc-(s) where sin(TTS) sinc(s) ITS and the theorem for...
c) For the circuit shown in Figure 3, where u(t) is the unit step function, using...
c) For the circuit shown in Figure 3, where u(t) is the unit step function, using Laplace transform methods and showing all working, find the response i(t) fort> 0. (9 marks) 4H 7e-u(t) v(1) 352 322 Figure 3
In the figure below, we show an amplitude-modulated square wave, which we wish to compare against...
In the figure below, we show an amplitude-modulated square wave,
which we wish to compare against the standard square wave
(a) Show that the complex Fourier coefficients of the standard
square wave are
(b) Find the complex Fourier coefficients of the
amplitude-modulated square wave
(c) Explain how your answer in (b) reduces to your answer in (a)
as α →0
Please help with detailed steps
4. (5 marks) In the figure below, we show an amplitude-modulated square wave, which we...
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using t...
Please help with this dynamics circuit
analysis.
Please show work and explain.
Thank you!!
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown in the following figure То (c) A -A Ti Find the Fourier series coefficients az, as well as M7 and 8. for (c) T1=(1/4)To. Sketch the spectrum for both cases. Consider what spectrum will be if T1/To → 0. Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure the spectral from the Digital...
6. The figure below shows F(t) and each square in the horizontal direction is 1 ms....
6. The figure below shows F(t) and each square in the horizontal direction is 1 ms. (a) by inspection of this figure, deduce the fundamental frequency in the Fourier series of F(t) (b) What would you suggest is the highest harmonic that has a substantial amplitude? What is its frequency? (Modified 6.30 from the book)
6. The figure below shows F(t) and each square in the horizontal direction is 1 ms....
6. The figure below shows F(t) and each square in the horizontal direction is 1 ms. (a) by inspection of this figure, deduce the fundamental frequency in the Fourier series of F(t) (b) What would you suggest is the highest harmonic that has a substantial amplitude? What is its frequency? (Modified 6.30 from the book) x:y
1 T I т I N F The transfer function of a linear differential equation is...
1 T I т I N F The transfer function of a linear differential equation is defined by the Laplace transform of output (response function) over the Laplace transform of input (driving force) The block diagram of a system is not unique. F In the system with the first order differential equation, the steady-state error due to unite step function is not zero. F In a system with a sinusoidal input, the response at the steady state is sinusoidal at...
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
Consider the function f(t) whose Laplace transform F(s) = L{f(t)} = $5+2 We know f(0) = 0 and f'(0) = 4. Answer the following questions. Please write down the numerators and the denominators separately. Use "A" for the power operation, e.g., write s^5 for 5”. • L{f"(t)}= - Lle="r() = - 19(e) = 'ermite – wsin(26) dw, men zl940)= • If g(t) = wf(t – w)s in (2w) dw, then L{g(t)}= • If y(t) = L-'{e-35F(s)}, then y(1) =D and...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I 1 -4 -3 -2 -1 0 1 2 3 4 5 6 7 t and is given by 21 (1) + 3A (132), where A is the triangle function defined as 10-{ It a It <a It > a 0 Write the Fourier transform F [A(t)] (s) of f(t) exploiting the fact that FA(t)](s) = sinc-(s) where sin(TTS) sinc(s) ITS and the theorem for...
c) For the circuit shown in Figure 3, where u(t) is the unit step function, using Laplace transform methods and showing all working, find the response i(t) fort> 0. (9 marks) 4H 7e-u(t) v(1) 352 322 Figure 3
In the figure below, we show an amplitude-modulated square wave,
which we wish to compare against the standard square wave
(a) Show that the complex Fourier coefficients of the standard
square wave are
(b) Find the complex Fourier coefficients of the
amplitude-modulated square wave
(c) Explain how your answer in (b) reduces to your answer in (a)
as α →0
Please help with detailed steps
4. (5 marks) In the figure below, we show an amplitude-modulated square wave, which we...
Please help with this dynamics circuit
analysis.
Please show work and explain.
Thank you!!
1. Consider the circuit shown below. Cl e, (0) c, e。(t) Find the transfer function below using time-domain and impedance methods. (a) Determine the differential equation for the relationship between eo(1) and e(1) (b) Find the transfer function E, (s)/E,(s) and determine the system time constant in terms of the circuit element values C, C, and R 17 2 (c) Find the transfer function E, (s)/E,...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown in the following figure То (c) A -A Ti Find the Fourier series coefficients az, as well as M7 and 8. for (c) T1=(1/4)To. Sketch the spectrum for both cases. Consider what spectrum will be if T1/To → 0. Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure the spectral from the Digital...
6. The figure below shows F(t) and each square in the horizontal direction is 1 ms. (a) by inspection of this figure, deduce the fundamental frequency in the Fourier series of F(t) (b) What would you suggest is the highest harmonic that has a substantial amplitude? What is its frequency? (Modified 6.30 from the book)
6. The figure below shows F(t) and each square in the horizontal direction is 1 ms. (a) by inspection of this figure, deduce the fundamental frequency in the Fourier series of F(t) (b) What would you suggest is the highest harmonic that has a substantial amplitude? What is its frequency? (Modified 6.30 from the book) x:y
1 T I т I N F The transfer function of a linear differential equation is defined by the Laplace transform of output (response function) over the Laplace transform of input (driving force) The block diagram of a system is not unique. F In the system with the first order differential equation, the steady-state error due to unite step function is not zero. F In a system with a sinusoidal input, the response at the steady state is sinusoidal at...
Most questions answered within 3 hours.
-
The pH of a sample of water from a river is 5.0. A
sample of effluent from...
asked 5 minutes ago -
At the beginning of the period, the Fabricating Department
budgeted direct labor of $136,500 and equipment...
asked 32 minutes ago -
Please answer all
____ 28. Rent control is usually
justified on the grounds that it protects...
asked 32 minutes ago -
PARTS A-D HAVE BEEN ANSWERED. WAS TOLD TO REPOST. ONLY ANSWER
PARTS E and F.
A...
asked 50 minutes ago -
2) You are given the task of finding a representation for a
circle in a drawing...
asked 1 hour ago -
STUDY QUESTION: Does use of diet drug fen-phen
(fenfluramine-phentermine) cause valvular heart disease?
HINT: Valvular heart...
asked 1 hour ago -
1. An object weighing 40 N rests on a surface. The coefficient
of friction is 0.35....
asked 3 hours ago -
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 4 hours ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 4 hours ago -
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 5 hours ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 7 hours ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 9 hours ago