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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

6. 10 pts  Use Laplace transforms to solve the damped spring-mass system xi’ +3×1 +2x = 0; x(0) = 1, 40) = —1.

6. 10 pts  Use Laplace transforms to solve the damped spring-mass system xi’ +3×1 +2x = 0; x(0) = 1, 40) = —1.

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

5. a) find the Laplace transform of f(t)= { 21 1 3. b) Find the inverse Laplace transform of F(s)== (s+V-i-4*

5. a) find the Laplace transform of f(t)= { 21 1 < 3; , > 3. b) Find the inverse Laplace transform of F(s)== (s+V-i-4*

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

4. (a) [10 pt] Solve without Laplace transforms: y” —2y’ +5y = 0; y(0) = 1, y'(0) = 5. (b) 110 pt] Find the general solution of y” +4/ = 10ex.

4. (a) [10 pt] Solve without Laplace transforms: y” —2y’ +5y = 0; y(0) = 1, y'(0) = 5. (b) 110 pt] Find the general solution of y” +4/ = 10ex.

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

3. Consider the differential equation —da = f(x) where f has the graph shown. dr (a) 15 pc) Determine the equilibrium solutions. (b) [5 pt] Which solutions in (a) are stable and which are unstable? (c) [5 ptj Sketch the solution which satisfies the initial condition 40) = 4. Label both axes and all relevant intercepts and asymptotes.

3. Consider the differential equation —da = f(x) where f has the graph shown. dr (a) 15 pc) Determine the equilibrium solutions. (b) [5 pt] Which solutions in (a) are stable and which are unstable? (c) [5 ptj Sketch the ...

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

2. Solve the following equations explicitly for y(x). (a) [10 pt] y’ + 2y = e (b) [10 pt] .x-y’ = _x-y2 + y. Hint. Bernoulli.

2. Solve the following equations explicitly for y(x). (a) [10 pt] y’ + 2y = e (b) [10 pt] .x-y’ = _x-y2 + y. Hint. Bernoulli.

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

1 As a body body cools by radiation its temperature T at time k is a positive constant. t satisfies  the equation — dT = _ k 7- 4 where (a) (lOpt1 Find a general solution of the differential equation. (b) 15 pt) Find the particular solution if T(0) :;– 2 degrees. your answers should depend on k.

1 As a body body cools by radiation its temperature T at time k is a positive constant. t satisfies  the equation — dT = _ k 7- 4 where (a) (lOpt1 Find a general solution of the differential equation. ...

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

4 in a wireless cellular system, let’s consider a cell with radius of 50Km” with /EIRP (Effective isotropic radiated Power) or 16w. The cos or blocking probability  “. is 3%. Assume that average call length (1/u) Is 10 minutes. and each user makes average of 6 calls/hour ( ).). Assume the cell has been allocated 8 MHz r spectral bandwidth with a full duplex channel bandwidth of 80 KHz (a) Calculate the traffic intensity ‘a’ per user Erlang (means user traffic intensity) (2)  (b) Decide the total number of channel ‘n’ per cell. (2) 4 \ bON we. : to 0 tic )cso (c) Decide the offered load Erlang using the result of (b) and GOS of 3%. [Use Erlang  B Table in Appendix A of the Text,_ 20.5.ESSI (2) \r) a-oe^ kct 0,0,111 go (d) Decide the Capacity of the Cell in terms of the Number of Users. (2) k o)”( I (01f we split the current cell of radius 50 Km into 5 Km- radius new cell, decide the new transmitted power Matt] for the split cell (assume propagation loss factor y =2). (1)

4 in a wireless cellular system, let’s consider a cell with radius of 50Km” with /EIRP (Effective isotropic radiated Power) or 16w. The cos or blocking probability  “. is 3%. Assume that average call length (1/u) Is 10 minutes. and ...

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

3. This problem 1s on the free space path lose between a transmitter and a receiver separated by the distance d [Km]. Let’s assume that transmit power Pi- 20  antenna gain Gr. 10 db and Rx antenna gain G.- 20 Mt (a) Por the carrier frequency fe-2 GII7 and minimum required receiver sensitively of Po- – 40 dBm, find the maximum range of communication ‘d’ In km  (4) (b) Depending on the distance you found in part (a), If the answer in part (a) dots not guarantee the minimum communication range dmin= 6 Km, we hope to change the carrier frequency to other frequency. Decide whether we need to change G or not first. Then also decide whether the new frequency should be Iarper or smaller than G GI-17.. (4) (c) Assume that, in problem 3, the propagation path is modeled as 2-ray ground reflection (one LOS path and one ground reflected path) with the maximum distance you found in part (a), along with Tx antenna: Gt=10 dB with its height ht=30[m] , Rx antenna Gr=20 dB with its height hr=21m]. Calculate total path Loss using: (all log’ mean base ’10’, ‘d’ in imp PL[d13] = 40 log d –f Gt felBj+ Cr [dB) + 20 log ht + 20 log hrl. (4)

3. This problem 1s on the free space path lose between a transmitter and a receiver separated by the distance d [Km]. Let’s assume that transmit power Pi- 20  antenna gain Gr. 10 db and Rx antenna gain G.- 20 ...

control systems
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Answer
venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

2. This problem is on the instantaneous Code and Huffman code. (n) For the 6- symbol source with probabilities 0.35, 0.25, 0.2, 0.1, 0.05 and 0.05, give Huffman Ternary Code and its Average  length.(show Table) (6) (b) Which of the following code(s) is (are) acceptable for the existence of Instantaneous Code, given the code alphabet (0, 1, 2, 31 ? Also decide which code is the best among the code acceptable. (6) Code 2 Code 3 Word length Code 1 1 2 2 1 2 1 2 4 3 2 2 6 4 4 3 0 5 1 1 0

2. This problem is on the instantaneous Code and Huffman code. (n) For the 6- symbol source with probabilities 0.35, 0.25, 0.2, 0.1, 0.05 and 0.05, give Huffman Ternary Code and its Average  length.(show Table) (6) (b) Which of the following code(s) ...

control systems
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venkyelectrical
venkyelectrical
Asked: May 6, 2022In: control systems engineering

1. Assume that the received signal at the receiver antenna of the mobile is defined as r(0= 10 + 2 e Ham +3 efts) (a) Calculate the received signal envelope R CX24-Y2, where X denotes the real part and Y refers to the imaginary part of the combined signal. (4) (b) What pdf do you expect for the envelope fR(r) should be? (give reasoning) (2) (c)Then, what pdf do you expect for the R2 ? What does R2 mean ? (2) (d) Calculate the received power PR based on r(t) for 377 SI (impedance of the received antenna) and Phase [Radian] of the received signal r(t) too. (4)

1. Assume that the received signal at the receiver antenna of the mobile is defined as r(0= 10 + 2 e Ham +3 efts) (a) Calculate the received signal envelope R CX24-Y2, where X denotes the real part and Y refers ...

control systems
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Answer
1 2 3

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Recent Comments

  1. venkyelectrical on Bonus Problem (10 points): In this circuit, the op amp is IDEAL. The op amp is NOT operating in the linear region. In this Circuit, V+=V_. The op amp output saturates at +12v. The output is always at saturation, either positive or negative. The output will “toggle” as Vin crosses a “threshold” voltage. Because of the positive feedback, the threshold voltage changes depending on the state of the output voltage. Find the lower and upper values of the threshold voltages to 5 places of precision.
  2. venkyelectrical on Problem #3 Operational Amplifiers (35 pts): The op amp is IDEAL and operating in the linear region. Find the voltage gain (Av) of the circuit. If Vin = -2, find io.
  3. venkyelectrical on Problem #2 Operational Amplifiers (35 pts): Op amp is ideal and operating in the linear region. Find the node voltages in the table.
  4. venkyelectrical on Problem #I Linear Amplifiers (40 pts) (SHOW ALL WORK) In the Problem, all resistor values are in ohms, voltages are volts and currents are amps. Amp “A” is voltage-to-current, Amps “B” and “C” are current-to-voltage. Use /1 = 0.01(V1), v2 = 100(/2) and V3 = 50(/3). Use Vin shown in the table. Find all the values listed in the table. Hint: Observe that R3, R4 and R5 are m parallel.
  5. venkyelectrical on 3. This problem is on the quantization and encoding. Answer to the following: Assume round-off rule for uniform quantization. We have 10 samples from the analog signal and their quantization error qε are found to be distributed as, qε =[0.33, 0.36, -0.38, 0.22, -0.4, 0.07, 0.4, -0.18, -0.25, 0.38] (a) Decide the suitable value of quantization step size ∆. Give reasoning for your answer (3) (b) We assume that qε are uniformly distributed with its probability density function f ∆ (∆) =1 /∆ for the interval [-∆/2, +∆/2]. Calculate the quantization noise power Pqε for the value of ∆ you found in part (a). (3) (c) Per the quantization noise power you calculated in part (b), calculate the signal power S [Watt] if output Signal to Q-zation noise power ratio SNRo = 30 dB. (3) (d) If we encode the quantizer output with binary code with length ‘n’(integer), decide the minimum code length ‘n’ based on the condition given in part (c) (1)

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