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PROBLEMS 2.1. The signals in Figure P2.1 are zero except as shown. (a) For the signal...
Discrete System question 9.3. The signals in Figure P9.2 are zero except as shown. (a) For...
Discrete System question
9.3. The signals in Figure P9.2 are zero except as shown. (a) For the signal x,[n] of Figure P9.2(a), plot the following (i) 2 3n] (iii) 3x1n-2] (v) 12x-2n (ii 2xn (iv) 3- aIn (vi) 2 -n]-4 (b) Repeat part (a) for the signal xb[n] of Figure P9.2(b). (c) Repeat part (a) for the signal xn of Figure P9.2(c). (d) Repeat part (a) for the signal xn of Figure P9.2(d) 484 Discrete-Time Signals and Systems Chap. S...
Q1. The signal x(t) shown in Figure Q1 is zero except as shown. [No Partial Credit]...
Q1. The signal x(t) shown in Figure Q1 is zero except as shown. [No Partial Credit] x(t) 2 1 -1 0 1 2 3 4 5 t Figure Q1 Clearly indicate the significant points in the time axis and y-axis. a) Plot x(t + 2) b) Plot x(2t - 3) c) Plot x(2-t) [2 marks) [2 marks] [2 marks]
For the signal g(t) shown in the following figure: a. Sketch the signals: 4. i) g(20)...
For the signal g(t) shown in the following figure: a. Sketch the signals: 4. i) g(20) ii) g(t-12) iii) g(6t) iv) g(3-t) find the energies of all the signals in part (a) b. g(t) 0.5 0 12 15 24
PROBLEM2 The unit step response of two systems, T(s) and T,(s), are shown in Figure P2.1...
PROBLEM2 The unit step response of two systems, T(s) and T,(s), are shown in Figure P2.1 below T,(s) T(s) 0 0102 0.3 Tefseconds 08 07 0.8 0. Figure P2.1: Unit step responses of linear second-order control systems T(s) and T,(s) Assuming that T(s) and T,(6) are linear second-order prototypical control systems, do the following (a) Determine the closed-loop transfer function 7(s). (b) Determine the closed-loop transfer function T,(s). (7 points (3 points)
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
For a signal representation shown graphically, it can be represented in terms of some basic signals...
For a signal representation shown graphically, it can be represented in terms of some basic signals such as unit step function. Consider the graphical representation of signal as in Figure Q1. (a) State the expression of x(t) in terms of the unit step function. (4 marks) (b) Find the expression for xo(t) and xe(t). (8 marks) (c) Plot y(t) = 3x(2t - 1). (5 marks) (d) Determine the energy and power of the signal x(t) given in Figure Q1. 0...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) =...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where...
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where WM = 100 rad/s. The sampling frequency ws = 200 rad/s. The filter H(w) has a cut- off frequency we = 100 rad/s a) [10 points) Plot the signal P(0) b) [15 points] Plot the signal Xplo) c) [10 points] Plot the output signal X-(0) pt) - 281t - nT) x(t) H(jw) X Hij M You need to show all the steps that lead...
1. For the three following signal sets . Find the basis functions using Gram-Schmidt method. ....
1. For the three following signal sets . Find the basis functions using Gram-Schmidt method. . Plot the corresponding signal space representation. . Find the distance between the two signals. (a) x(t) = Acos(2tht), y(t) = Asin(2T,fet), t E [0, e). [30 points] (b) (t) A cos(2m fct), y(t) A cos(2m fct+0), t E [0, Tb]. [30 points] (c) The signal set shown in Figure 1 [40 points xp V3A T/2 T To
7. [20 points] Two signals mi(t) and m2(t) shown in the figure below have to be transmitted simul...
7. [20 points] Two signals mi(t) and m2(t) shown in the figure below have to be transmitted simul taneously over a channel by multiplexing. The signal at point b is the multiplexed signal, which modulates a carrier of frequency 20 kHz. The modulated signal at point c is then transmitted over the channel. (a) Sketch the spectra of the signals at points a, b and e An Mar) 42 2 cos(20, 000mt) (b) What must be the bandwidth of the...
Discrete System question
9.3. The signals in Figure P9.2 are zero except as shown. (a) For the signal x,[n] of Figure P9.2(a), plot the following (i) 2 3n] (iii) 3x1n-2] (v) 12x-2n (ii 2xn (iv) 3- aIn (vi) 2 -n]-4 (b) Repeat part (a) for the signal xb[n] of Figure P9.2(b). (c) Repeat part (a) for the signal xn of Figure P9.2(c). (d) Repeat part (a) for the signal xn of Figure P9.2(d) 484 Discrete-Time Signals and Systems Chap. S...
Q1. The signal x(t) shown in Figure Q1 is zero except as shown. [No Partial Credit] x(t) 2 1 -1 0 1 2 3 4 5 t Figure Q1 Clearly indicate the significant points in the time axis and y-axis. a) Plot x(t + 2) b) Plot x(2t - 3) c) Plot x(2-t) [2 marks) [2 marks] [2 marks]
For the signal g(t) shown in the following figure: a. Sketch the signals: 4. i) g(20) ii) g(t-12) iii) g(6t) iv) g(3-t) find the energies of all the signals in part (a) b. g(t) 0.5 0 12 15 24
PROBLEM2 The unit step response of two systems, T(s) and T,(s), are shown in Figure P2.1 below T,(s) T(s) 0 0102 0.3 Tefseconds 08 07 0.8 0. Figure P2.1: Unit step responses of linear second-order control systems T(s) and T,(s) Assuming that T(s) and T,(6) are linear second-order prototypical control systems, do the following (a) Determine the closed-loop transfer function 7(s). (b) Determine the closed-loop transfer function T,(s). (7 points (3 points)
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
For a signal representation shown graphically, it can be represented in terms of some basic signals such as unit step function. Consider the graphical representation of signal as in Figure Q1. (a) State the expression of x(t) in terms of the unit step function. (4 marks) (b) Find the expression for xo(t) and xe(t). (8 marks) (c) Plot y(t) = 3x(2t - 1). (5 marks) (d) Determine the energy and power of the signal x(t) given in Figure Q1. 0...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
Consider the input signal x(t) with Fourier transformation X(w) as shown in the figure below where WM = 100 rad/s. The sampling frequency ws = 200 rad/s. The filter H(w) has a cut- off frequency we = 100 rad/s a) [10 points) Plot the signal P(0) b) [15 points] Plot the signal Xplo) c) [10 points] Plot the output signal X-(0) pt) - 281t - nT) x(t) H(jw) X Hij M You need to show all the steps that lead...
1. For the three following signal sets . Find the basis functions using Gram-Schmidt method. . Plot the corresponding signal space representation. . Find the distance between the two signals. (a) x(t) = Acos(2tht), y(t) = Asin(2T,fet), t E [0, e). [30 points] (b) (t) A cos(2m fct), y(t) A cos(2m fct+0), t E [0, Tb]. [30 points] (c) The signal set shown in Figure 1 [40 points xp V3A T/2 T To
7. [20 points] Two signals mi(t) and m2(t) shown in the figure below have to be transmitted simul taneously over a channel by multiplexing. The signal at point b is the multiplexed signal, which modulates a carrier of frequency 20 kHz. The modulated signal at point c is then transmitted over the channel. (a) Sketch the spectra of the signals at points a, b and e An Mar) 42 2 cos(20, 000mt) (b) What must be the bandwidth of the...
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