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Write the time domain function z(t) of the graph below as the sum of two rectangular...
Write the time domain function r(t) of the graph below as the sum of two rectangular...
Write the time domain function r(t) of the graph below as the sum of two rectangular pulse functions, then compute the fourier transform X(w) in terms of sinc function. (Reminder: A rectangular pulse centered 50,427 at the origin with width 27 is defined as II(t) = 11, -T<t<+T and it has the fourier transform II(t) sincwr)) 1 0 Amplitude -1 -2 0 2 3 8 9 10 11 5 6 7 Time-
87 The plot of a time-domain function shows tiro palses of a periodic, repeating wareform fit)...
87 The plot of a time-domain function shows tiro palses of a periodic, repeating wareform fit) t (a) The wav efcem is to be represented by a Fourier series. What are the ferst three nonzero Fourier series terms (A) 2 cos(0.5mt) + 2 sin(nt) + 읊 sin(1.5mt) (B) 0.5 + 2 sin(0.5rt)喙sin(1.5m) (C) 0.5 + 2 cos(0.5nt) + sin(1.5nt) (D) π sin(0.brt) + 읊 sín(1.5nt)壕sin(2.5nt) 3T The graph shows a pulse in a communications signal. xlt) 1 t (s) What...
Question 27 1 pts Fourier transform of a rectangular pulse is a: Sine function Tan function...
Question 27 1 pts Fourier transform of a rectangular pulse is a: Sine function Tan function Sinc function Cosine function D Question 28 1 pts Every periodic function can be expressed as a linear combination of: Sine and cosine functions None of the above Logarithmic functions Sine functions
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t)...
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t) = **(t) art (i) Explain what the symbol * means in this context and write down the expression for the function y(t). (ii) Compute the energy of the signal x(t) in the time domain. (iii) Using the formulae 1 F[2(t)]() = k + 2ris F(II(t)](s) = sinc(s) It > 1/2 II(t) It < 1/2 sin(TTS) sinc(s) ITS compute the energy of the signal y(t)...
Rectangular Waves and the Sampling Function question: 2.1 Compute and sketch the time domain and (two-sided)...
Rectangular Waves and the Sampling Function question:
2.1 Compute and sketch the time domain and (two-sided) Fourier transform representations, x(t) and X(, of rectangular waves with the following properties: (a) A = +10V,To-0.2 ms, to 0.2To (b)A=+10V,T0 = 0.2 ms, to = 0.5T。 (c) A = +10 V, To = 0.2 ms, to 0.8To
So the time domain for this is v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] + ...
So the time domain for this is
v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] +
(-40t+0.2)[u(t-0.15) - u(t-0.25)] + (-2)[u(t-0.25)-u(t-0.3)] +
(2e^(-5(t-0.3)))[u(t-0.3)]
but the equation was reduced before converting into S-domain and
it was reduced to :
v(t) = (-cos(10pi))u(t) + u(t) + cos(10pi)u(t-0.1) + u(t-0.1) -
40(t-0.1))u(t-0.15) + 40(t-0.25)u(t-0.25) + 2u(t-0.3) +
2e^(-5(t-0.3))u(t-0.3)
How do you adjust the time delay? Not sure if I understand how
it was done, if you can show and explain step by...
How to graph fourier transform My question isn't on how they got the transform, my question is how the graph was calculated, I don't know what sinc means Note: 1) In the following problem set...
How to graph fourier transform
My question isn't on how they got the transform, my question is
how the graph was calculated, I don't know what sinc means
Note: 1) In the following problem set a notation Pa(t) is used to denote an even pulse (i.e. rectangular) shape function with the duration of a. This means that for example the function x(t) in question number one is 2P2(t-1). It is clear that using the properties of Fourier transform is greatly...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in what domain: s domain none of the above f domain time domain Flag this Question Question 21 pts if X(s) is the Laplace transform of x(t), then 's' is a : real number integer complex number rational number Flag this Question Question 31 pts In a unilateral Laplace transform the integral, the start time is just after origin (0+) just before origin (0-) origin...
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i...
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
(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...
Write the time domain function r(t) of the graph below as the sum of two rectangular pulse functions, then compute the fourier transform X(w) in terms of sinc function. (Reminder: A rectangular pulse centered 50,427 at the origin with width 27 is defined as II(t) = 11, -T<t<+T and it has the fourier transform II(t) sincwr)) 1 0 Amplitude -1 -2 0 2 3 8 9 10 11 5 6 7 Time-
87 The plot of a time-domain function shows tiro palses of a periodic, repeating wareform fit) t (a) The wav efcem is to be represented by a Fourier series. What are the ferst three nonzero Fourier series terms (A) 2 cos(0.5mt) + 2 sin(nt) + 읊 sin(1.5mt) (B) 0.5 + 2 sin(0.5rt)喙sin(1.5m) (C) 0.5 + 2 cos(0.5nt) + sin(1.5nt) (D) π sin(0.brt) + 읊 sín(1.5nt)壕sin(2.5nt) 3T The graph shows a pulse in a communications signal. xlt) 1 t (s) What...
Question 27 1 pts Fourier transform of a rectangular pulse is a: Sine function Tan function Sinc function Cosine function D Question 28 1 pts Every periodic function can be expressed as a linear combination of: Sine and cosine functions None of the above Logarithmic functions Sine functions
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t) = **(t) art (i) Explain what the symbol * means in this context and write down the expression for the function y(t). (ii) Compute the energy of the signal x(t) in the time domain. (iii) Using the formulae 1 F[2(t)]() = k + 2ris F(II(t)](s) = sinc(s) It > 1/2 II(t) It < 1/2 sin(TTS) sinc(s) ITS compute the energy of the signal y(t)...
Rectangular Waves and the Sampling Function question:
2.1 Compute and sketch the time domain and (two-sided) Fourier transform representations, x(t) and X(, of rectangular waves with the following properties: (a) A = +10V,To-0.2 ms, to 0.2To (b)A=+10V,T0 = 0.2 ms, to = 0.5T。 (c) A = +10 V, To = 0.2 ms, to 0.8To
So the time domain for this is
v(t) = (1-cos(10pi))[u(t) - u(t-0.1)] + 2[u(t-0.1) - u(t-0.15)] +
(-40t+0.2)[u(t-0.15) - u(t-0.25)] + (-2)[u(t-0.25)-u(t-0.3)] +
(2e^(-5(t-0.3)))[u(t-0.3)]
but the equation was reduced before converting into S-domain and
it was reduced to :
v(t) = (-cos(10pi))u(t) + u(t) + cos(10pi)u(t-0.1) + u(t-0.1) -
40(t-0.1))u(t-0.15) + 40(t-0.25)u(t-0.25) + 2u(t-0.3) +
2e^(-5(t-0.3))u(t-0.3)
How do you adjust the time delay? Not sure if I understand how
it was done, if you can show and explain step by...
How to graph fourier transform
My question isn't on how they got the transform, my question is
how the graph was calculated, I don't know what sinc means
Note: 1) In the following problem set a notation Pa(t) is used to denote an even pulse (i.e. rectangular) shape function with the duration of a. This means that for example the function x(t) in question number one is 2P2(t-1). It is clear that using the properties of Fourier transform is greatly...
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
(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...
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