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Matuhing afaut The input ieene of an ang her is 1352, The antn. Power fam t wntanai atalenl of-lu...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Question 3 (10 marks) Calculate the input power , the output power and the efficiency of the amplifier circuit shown in Fig.(3) for an input voltage that results in a base current of 10 mA peak t...
Question 3 (10 marks) Calculate the input power , the output power and the efficiency of the amplifier circuit shown in Fig.(3) for an input voltage that results in a base current of 10 mA peak to peak. ㄟˇㄟ Fig. (3) 25
Question 3 (10 marks) Calculate the input power , the output power and the efficiency of the amplifier circuit shown in Fig.(3) for an input voltage that results in a base current of 10 mA peak to peak....
Q2: An amplifier operating from t 15-V power supplies is fed with a sinusoidal voltage having 1 V peak and delivers a s...
Q2: An amplifier operating from t 15-V power supplies is fed with a sinusoidal voltage having 1 V peak and delivers a sinusoidal voltage output of 12 V peak to a 1-kΩ load. The amplifier draws a current of 6.5 mA from each of its two power supplies. The input current of the amplifier is found to be sinusoidal with 0.1 mA peak. Find (a) the voltage gain, (b) the current gain, (c) the power gain, (d) the power drawn...
CURRENT, POWER, AND ENERGY FOR AN INDUCTANCE II. The current i(t) through a 100uH inductance is...
CURRENT, POWER, AND ENERGY FOR AN INDUCTANCE II. The current i(t) through a 100uH inductance is shown in Figure 3. Plot the voltage, power, and stored energy to scale versus time for t between 0 to 5us i(t)(mA) 33+ t(us) Figure 1: (a) Current Waveform and (b) Inductance Circuit Find and plot the current i(t), the power delivered p(t), and the energy stored w(t) for time between 0 and 5us. 1.
Q6. The power spectral density of a narrow-band noise n(t) is as shown in figure below....
Q6. The power spectral density of a narrow-band noise n(t) is as shown in figure below. The carrier frequency is 5 Hz (3 marks) el spectral de nsities Sy(f) (W/Hz) 1.0 7 5-4 45H2) 0 end
Using parsevals theorem and FT to find y(t) and its power (b) (4 pts) Fourier Series The input signal r(t) and impulse...
Using parsevals theorem and FT to find y(t) and its power
(b) (4 pts) Fourier Series The input signal r(t) and impulse response h(t) of an LTI system are as follows: z(t) = sin(2t)cos(t)-e131 + 2 and h(t) = sin(21) Use the Fourier Series method to find the output y(t) (c) (4 pts) Parseval's Identity and Theorem. Consider the system in the previous problem. Use Parseval's Identity to compute the power P of the output y(t). Use Parseval's Theorem to...
4. (8 points) A noise signal ni(t) with power spectrum density (PSD) S () = k...
4. (8 points) A noise signal ni(t) with power spectrum density (PSD) S () = k ) is applied at the input of an deal differentiator. Determine the PSD and the power of the output noise signal no(t) (hint: no(t) = 0).
(50 points) The input X(t) in the circuit shown in the following figure is a stochastic process w...
(50 points) The input X(t) in the circuit shown in the following figure is a stochastic process with EIX(t)]-0 and Rx(t)-626(t);i.e., X(t) İs a whte noise process. 2. C Y(t) X(t) a) Determine the power spectral density of Y(t). b) Determine E[Y ()] and Ry(T). 2α all
(50 points) The input X(t) in the circuit shown in the following figure is a stochastic process with EIX(t)]-0 and Rx(t)-626(t);i.e., X(t) İs a whte noise process. 2. C Y(t) X(t) a) Determine...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
The input signal x(1) of the LTI system is given by the following relation x(t) =...
The input signal x(1) of the LTI system is given by the following relation x(t) = xo(1–17), where ,1)= 1 3/4 +2,05151 / and it is passed through a filter with frequency response given below: (-;,O< f 54 H(S)= ,-45 f<0 (0, otherwise Determine the power of the signal x. (t)
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Question 3 (10 marks) Calculate the input power , the output power and the efficiency of the amplifier circuit shown in Fig.(3) for an input voltage that results in a base current of 10 mA peak to peak. ㄟˇㄟ Fig. (3) 25
Question 3 (10 marks) Calculate the input power , the output power and the efficiency of the amplifier circuit shown in Fig.(3) for an input voltage that results in a base current of 10 mA peak to peak....
Q2: An amplifier operating from t 15-V power supplies is fed with a sinusoidal voltage having 1 V peak and delivers a sinusoidal voltage output of 12 V peak to a 1-kΩ load. The amplifier draws a current of 6.5 mA from each of its two power supplies. The input current of the amplifier is found to be sinusoidal with 0.1 mA peak. Find (a) the voltage gain, (b) the current gain, (c) the power gain, (d) the power drawn...
CURRENT, POWER, AND ENERGY FOR AN INDUCTANCE II. The current i(t) through a 100uH inductance is shown in Figure 3. Plot the voltage, power, and stored energy to scale versus time for t between 0 to 5us i(t)(mA) 33+ t(us) Figure 1: (a) Current Waveform and (b) Inductance Circuit Find and plot the current i(t), the power delivered p(t), and the energy stored w(t) for time between 0 and 5us. 1.
Q6. The power spectral density of a narrow-band noise n(t) is as shown in figure below. The carrier frequency is 5 Hz (3 marks) el spectral de nsities Sy(f) (W/Hz) 1.0 7 5-4 45H2) 0 end
Using parsevals theorem and FT to find y(t) and its power
(b) (4 pts) Fourier Series The input signal r(t) and impulse response h(t) of an LTI system are as follows: z(t) = sin(2t)cos(t)-e131 + 2 and h(t) = sin(21) Use the Fourier Series method to find the output y(t) (c) (4 pts) Parseval's Identity and Theorem. Consider the system in the previous problem. Use Parseval's Identity to compute the power P of the output y(t). Use Parseval's Theorem to...
4. (8 points) A noise signal ni(t) with power spectrum density (PSD) S () = k ) is applied at the input of an deal differentiator. Determine the PSD and the power of the output noise signal no(t) (hint: no(t) = 0).
(50 points) The input X(t) in the circuit shown in the following figure is a stochastic process with EIX(t)]-0 and Rx(t)-626(t);i.e., X(t) İs a whte noise process. 2. C Y(t) X(t) a) Determine the power spectral density of Y(t). b) Determine E[Y ()] and Ry(T). 2α all
(50 points) The input X(t) in the circuit shown in the following figure is a stochastic process with EIX(t)]-0 and Rx(t)-626(t);i.e., X(t) İs a whte noise process. 2. C Y(t) X(t) a) Determine...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
The input signal x(1) of the LTI system is given by the following relation x(t) = xo(1–17), where ,1)= 1 3/4 +2,05151 / and it is passed through a filter with frequency response given below: (-;,O< f 54 H(S)= ,-45 f<0 (0, otherwise Determine the power of the signal x. (t)
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