Variations on rectangle can be related to the unit
rectangle rect(t). In each of the sketches in Figure 1.34, express
the signal s(t) shown in terms of rect(t).
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Variations on rectangle can be related to the unit
rectangle rect(t). In each of the sketches...
For the remainder of this problem, the signals (t) and y(t) denote the input and output, respecti...
For the remainder of this problem, the signals (t) and y(t) denote the input and output, respectively, of a stable LTI system whose (double-sided) frequency response is known to be w-4m 27T 4m H(w) = rect ( 2π with rect(t) denoting the unit-pulse function i.e., rect(t) 1 for lt| < 1/2 and is zero otherwise. Hint: Use sketches as a guide for answering each question most efficiently. (c) (15 points) Determine y(t) for all t given the applied input is...
Two signals m1(t) and m2(t), both band-limited to 5000 Hz, are to be transmitted simultaneously over...
Two signals m1(t) and m2(t), both band-limited to 5000 Hz, are
to be transmitted simultaneously over a channel by the multiplexing
scheme shown in the following figure.The signal at point b is the
multiplexed signal, which now modulates a carrier of frequency
20,000 Hz. The modulated signal at point c is transmitted over a
channel.
4. [20 points] Two signals m(t) and m-(t), both band-limited to 5000 Hz, are to be transmitted simultaneously over a channel by the multiplexing scheme...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....
Suppose that we have a linear, time invariant (LTI) system. The system's response to the unit...
Suppose that we have a linear, time invariant (LTI) system. The system's response to the unit rectangular pulse x1(t) - rect(t) is the signal y1 (t) shown on the left below. The system's response to the triangular pulse x2(t)-A(t) is the signal y2(t) shown on the right below 5. уг (r) 0 0 2 2 (Note: the triangular pulse is the signal A(t) 1 -3 -2-1 0 1 2 3 4 a)First draw the system's response to the input signal...
5) GIVEN THE VOLTAGE WAVEFORMDETERMINE THE VARIATIONS IN CURRENT C = 100 nF 20% i(t) 2...
5) GIVEN THE VOLTAGE WAVEFORMDETERMINE THE VARIATIONS IN CURRENT C = 100 nF 20% i(t) 2 v(t) C (A) (a)a n -2 -3 O 1 2. 5 6 3 4 Time (s)
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...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0) 6. Signal x()- exp(-t) u() and signal ho) is as sh...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
DIFFERENTIATION: For the signals x(t) in Problems (1-2), (a) Compute the fomula for and (b) sketch...
DIFFERENTIATION: For the signals x(t) in Problems (1-2), (a) Compute the fomula for and (b) sketch the signal's derivative x'(t) = x(t). If necessary, use the Differentiation Product Rule: (f.g)' = fg + fig', or "RUD", e. g u (t) = 8(t). In your plots, label both axes, and indicate key values of time and amplitude. (1) X(t) = 4 rect ). (Hint: express rect(t/10) in terms of the difference of Two unit step functions.) ( 10 points) (2) X(t)...
3. A system is excited by a signal x(t) = rect (2t) and its response is...
3. A system is excited by a signal x(t) = rect (2t) and its response is y(t) = (2 – 2e-(t+1/4))u(t +1/4) -(2 – 2e-(t-1/4))u(t – 1/4) Hint1: try to factor inside Y@) and produce (279-e3€)/2j which will be sind. Hint2: don't simplify 1ljo and 1/(jo+a) and keep them “as is” until the last step when you want to do inverse Fourier Transform to find h(t) impulse responseis h(t) h(t) FT (0) Y(0) y(t)=h(t)*x(1) FT →Y(©)=H(@)X(@)= H(o)= X() rect(t) FT...
solved in details please Question 2: [4+4+4+6] Two signals 9.(t) = 100rect(1001) and 92(t) = 8(1)...
solved in details please
Question 2: [4+4+4+6] Two signals 9.(t) = 100rect(1001) and 92(t) = 8(1) are applied at the inputs of the ideal low pass filters .(1) = rect/200) and (0)=rect /100) as shown in Figure Q2. The outputs y, and y(t) of these filters are multiplied to obtain the signal y(t) = y(y(t). a) Sketch and G20). b) Sketch H and H2. c) Sketch Y. and Y21). d) Find the bandwidths of y(t).yz(t), and y(t). 8, () Hull...
For the remainder of this problem, the signals (t) and y(t) denote the input and output, respectively, of a stable LTI system whose (double-sided) frequency response is known to be w-4m 27T 4m H(w) = rect ( 2π with rect(t) denoting the unit-pulse function i.e., rect(t) 1 for lt| < 1/2 and is zero otherwise. Hint: Use sketches as a guide for answering each question most efficiently. (c) (15 points) Determine y(t) for all t given the applied input is...
Two signals m1(t) and m2(t), both band-limited to 5000 Hz, are
to be transmitted simultaneously over a channel by the multiplexing
scheme shown in the following figure.The signal at point b is the
multiplexed signal, which now modulates a carrier of frequency
20,000 Hz. The modulated signal at point c is transmitted over a
channel.
4. [20 points] Two signals m(t) and m-(t), both band-limited to 5000 Hz, are to be transmitted simultaneously over a channel by the multiplexing scheme...
(a) (i) Show that the sensitivity of the closed-loop transfer function T(s) to variations in the plant transfer function G(s), in figure 4, is given by 1 SI - SG = 1+G(s)H(s) (ii) If G(s) = and H(s) = 10 (figure 4) and the dc gain of the plant transfer function G(s) changes by 1%, what is the corresponding change in the dc gain of the closed-loop system? [40%] (b) A feedback system is to control output angular position 0....
Suppose that we have a linear, time invariant (LTI) system. The system's response to the unit rectangular pulse x1(t) - rect(t) is the signal y1 (t) shown on the left below. The system's response to the triangular pulse x2(t)-A(t) is the signal y2(t) shown on the right below 5. уг (r) 0 0 2 2 (Note: the triangular pulse is the signal A(t) 1 -3 -2-1 0 1 2 3 4 a)First draw the system's response to the input signal...
5) GIVEN THE VOLTAGE WAVEFORMDETERMINE THE VARIATIONS IN CURRENT C = 100 nF 20% i(t) 2 v(t) C (A) (a)a n -2 -3 O 1 2. 5 6 3 4 Time (s)
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...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
DIFFERENTIATION: For the signals x(t) in Problems (1-2), (a) Compute the fomula for and (b) sketch the signal's derivative x'(t) = x(t). If necessary, use the Differentiation Product Rule: (f.g)' = fg + fig', or "RUD", e. g u (t) = 8(t). In your plots, label both axes, and indicate key values of time and amplitude. (1) X(t) = 4 rect ). (Hint: express rect(t/10) in terms of the difference of Two unit step functions.) ( 10 points) (2) X(t)...
3. A system is excited by a signal x(t) = rect (2t) and its response is y(t) = (2 – 2e-(t+1/4))u(t +1/4) -(2 – 2e-(t-1/4))u(t – 1/4) Hint1: try to factor inside Y@) and produce (279-e3€)/2j which will be sind. Hint2: don't simplify 1ljo and 1/(jo+a) and keep them “as is” until the last step when you want to do inverse Fourier Transform to find h(t) impulse responseis h(t) h(t) FT (0) Y(0) y(t)=h(t)*x(1) FT →Y(©)=H(@)X(@)= H(o)= X() rect(t) FT...
solved in details please
Question 2: [4+4+4+6] Two signals 9.(t) = 100rect(1001) and 92(t) = 8(1) are applied at the inputs of the ideal low pass filters .(1) = rect/200) and (0)=rect /100) as shown in Figure Q2. The outputs y, and y(t) of these filters are multiplied to obtain the signal y(t) = y(y(t). a) Sketch and G20). b) Sketch H and H2. c) Sketch Y. and Y21). d) Find the bandwidths of y(t).yz(t), and y(t). 8, () Hull...
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