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7. On separate plots, carefully sketch the magnitude and phase (in degrees) of the signal y(t)--5exp(j4t)...
1- For each transfer function below, sketch the Bode magnitude and phase plots, a) T(s) 3040S...
1- For each transfer function below, sketch the Bode magnitude and phase plots, a) T(s) 3040S b) T(S) 30-405
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), id...
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
(a) Sketch the spectrum of the signal r(t). Show the spectrum as a function of f...
(a) Sketch the spectrum of the signal r(t). Show the spectrum as a function of f in Hz For the rest of this problem, assume that the signal is sampled at a rate of fs 50 Hz. (b) Sketch the spectrum for the sampled signal rn). Your spectrum should be shown as a function of the normalized frequency over the interval-2π < -+2T. c) Write an equation for the sampled signal [n. (d) Suppose that the signal is reconstructed from...
1. (a) sketch the Bode magnitude and phase plots of a transfer function T(W) = Vo(w)...
1. (a) sketch the Bode magnitude and phase plots of a transfer function T(W) = Vo(w) given Wo = 27x1oʻrad/s. Vi (w) (l+ges/wo2 g (6) Calculate the half-power or 3-dB Cut-off frequency of the above transfer function, and the phase LT(W) at the 3-dB cut-off frequency.
The trigonometric Fourier series of the signal f(t) derived in the lecture notes as e-a, 0...
The trigonometric Fourier series of the signal f(t) derived in the lecture notes as e-a, 0 < t T, with T π was n=1 where, 16n 1-e 2 a0 = π (1-e-2), a,- 41-e 2 2 and bn - Show that, f(t) = (1-e-2) +- COSL2n n=1
is trans- 2. The rectangular signal z(t) = pz(t) = { | 1/2, -1<t<1 je mitted...
is trans- 2. The rectangular signal z(t) = pz(t) = { | 1/2, -1<t<1 je mitted through the atmosphere and is reflected by different objects located at different distances. The received signal is y(t) = a(t) + 0.5x(t – 5) +0.25x(t – T'),T»2 Sketch y(t) for T = 10. (1)
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To...
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To implement Fourier Series (t)---> (ults) -1 1 0 t---> (sec) (ii) To= Wo=- Do- Dn= Sketch D vs nw.. (vi) Sketch <D, (e.) vs nw.. (vii) Power of r(t) = (viii) Express x(t) as sum of Sine Waves, Cosine waves and DC (ix) Show that the expression found in part(viii) is real
ffset sawtooth wave x(t). 1-7 A binary signal x(t) = 0 for t <0. For posi-...
ffset sawtooth wave x(t). 1-7 A binary signal x(t) = 0 for t <0. For posi- tive time, x(t) toggles between one and zero as follows: one for 1 second, zero for 1 second, one for 1 second, zero for 2 seconds, one for 1 1-11 second, zero for 3 seconds, and so forth. That is, the "on" time is always one second but the “off” time successively increases by one sec- ond between each toggle. A portion of x(t)...
Consider the signal 2, defined for allt e Ras sin(at) 1<t<4 (t) 0 otherwise. Define the...
Consider the signal 2, defined for allt e Ras sin(at) 1<t<4 (t) 0 otherwise. Define the signal y as y(t) = x(4 – t) for allt ER For which value of t does (x+y)(t) assume its maximum value? 3 2 6 none of the other answers 4 0
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant...
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
1- For each transfer function below, sketch the Bode magnitude and phase plots, a) T(s) 3040S b) T(S) 30-405
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the zero gain, the slopes (in Decibels) and the high-frequency cutt-off rate. Then verify with Matlab (6) wn = 1, 〈 0.0.1, and 0.707. (8) Assuming the system of Problem 6 above, and an input of r(t) = 30sin(1000 t), use your bode plot to obtain the steady-state response
For the following closed-loop transfer functions, sketch the bode plots (magnitude and phase), iden- tifying the...
(a) Sketch the spectrum of the signal r(t). Show the spectrum as a function of f in Hz For the rest of this problem, assume that the signal is sampled at a rate of fs 50 Hz. (b) Sketch the spectrum for the sampled signal rn). Your spectrum should be shown as a function of the normalized frequency over the interval-2π < -+2T. c) Write an equation for the sampled signal [n. (d) Suppose that the signal is reconstructed from...
1. (a) sketch the Bode magnitude and phase plots of a transfer function T(W) = Vo(w) given Wo = 27x1oʻrad/s. Vi (w) (l+ges/wo2 g (6) Calculate the half-power or 3-dB Cut-off frequency of the above transfer function, and the phase LT(W) at the 3-dB cut-off frequency.
The trigonometric Fourier series of the signal f(t) derived in the lecture notes as e-a, 0 < t T, with T π was n=1 where, 16n 1-e 2 a0 = π (1-e-2), a,- 41-e 2 2 and bn - Show that, f(t) = (1-e-2) +- COSL2n n=1
is trans- 2. The rectangular signal z(t) = pz(t) = { | 1/2, -1<t<1 je mitted through the atmosphere and is reflected by different objects located at different distances. The received signal is y(t) = a(t) + 0.5x(t – 5) +0.25x(t – T'),T»2 Sketch y(t) for T = 10. (1)
A signal x(t) is defined as; 3 0 -0.2 <t < 0.2 - 1.8<t< -0.2 To implement Fourier Series (t)---> (ults) -1 1 0 t---> (sec) (ii) To= Wo=- Do- Dn= Sketch D vs nw.. (vi) Sketch <D, (e.) vs nw.. (vii) Power of r(t) = (viii) Express x(t) as sum of Sine Waves, Cosine waves and DC (ix) Show that the expression found in part(viii) is real
ffset sawtooth wave x(t). 1-7 A binary signal x(t) = 0 for t <0. For posi- tive time, x(t) toggles between one and zero as follows: one for 1 second, zero for 1 second, one for 1 second, zero for 2 seconds, one for 1 1-11 second, zero for 3 seconds, and so forth. That is, the "on" time is always one second but the “off” time successively increases by one sec- ond between each toggle. A portion of x(t)...
Consider the signal 2, defined for allt e Ras sin(at) 1<t<4 (t) 0 otherwise. Define the signal y as y(t) = x(4 – t) for allt ER For which value of t does (x+y)(t) assume its maximum value? 3 2 6 none of the other answers 4 0
4. Consider the magnitude and phase of the frequency response Hi(2) of a linear and time-invariant (LTI) discrete-time System 1, given for-r < Ω-T, as: H, (12)| 10 phase H1(Ω)--0 for all Ω (a) Suppose an 5cos(n s input to System 1. Find the output ya[n] (b) Suppose ancos(is input to System 1. Find the output ybn] (c) Suppose I take the discrete-time signal from part (a): xa[n] 5cos(n), but I remove half of the values: to arrive at a...
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