1. Calculate the Laplace transform of exp(-10t) x u(t) 2. Calculate the convolution of exp(-t) and sin(t) using (a) the Laplace transform (b) direct integration 3. Compute the inverse transform of (3s^2 + 4s + 1) / (s^4 + 3s^3 +3s^2+2s) 4. Use Laplace transform to calculate the solution to the ODE y"+6y'+8y=u(t) y
The circuit to the problem is a non-inverting amplifier with a resistive-network feedback. The circuit is assumed to be ideal, with the exception of the effect of biasing current and offset voltage. The problem is: what is the output error voltage produced by the biasing current and the offset voltage? This solution will h
7) Stability of system. 8) What is gain margin and systen bandwidth. 9) Determine y(t). 10) System poles in LHP. SEE ATTACHMENT
Assume the following op-amp is ideal except for having a finite gain equal to (10^7)/(s + 10) and a slew rate of 0.02V/us. The input to the amplifier is an ordinary music signal with frequency range between 10 radian/sec to 3000 radian/sec and a maximum amplitude of 1V. Do you think the input signal will pass through the amplifi
A square pulse of height H extends from . Find its Fourier transform. The given function is called a "rectangle function" and it is defined as x(t)= H* rect(t/A). This function is also called the "unit gate function".
Write a program can be used to assign seat for a commercial airplane. The airplane has 13 rows and 6 seats in each row. Rows 1 and 2 are first class, rows 3 through 7 are business class and rows 8 through 13 are economy class. See the attached file.
A cafeteria wants to determine how students rate each food item. The cafeteria requires an application that surveys the student's opinion of various food items, rating each item as "like" or "dislike". The application is to use a two-dimensional array to hold counters for each category in the survey. The application will prompt
1. Calculate the overhead associated with the following protocol stack assuming transmission of 19,800 bits. - Transport Header of 50 bits (max. data payload of 20,000 bits) - Network Header of 550 bits (maximum data payload of 9,400 bits) - Data Link Header of 20 bits and trailer of 20 bits (maximum data payload of 5,000
Consider a simple telephone network consisting of two end offices and one intermediate switch with a 1-MHz full-duplex trunk between each end office and the intermediate switch. The average telephone is used to make four calls per 8-hour workday, with a mean call duration of six minutes. Ten percent of the calls are long distanc
See the attachment. 1. What is the phase margin and gain margin? A system has a loop function: A) P.M.= 32.5 degrees and G.M.=16.47 dB. B) P.M.= 30.2 degrees and G.M.=15.67 dB. C) P.M.= 31.8 degrees and G.M.=16.57 dB. D) P.M.= 32.3 degrees and G.M.=16.67 dB. 2. The loop function of a unity feedback system is:
1. Determine the bandwidth required to support the multiplexer output for 10 4-kHz analog voice signals. 2. Determine the bandwidth required to support the multiplexer output for 10 analog voice signals digitized using standard PCM and a TDM multiplexer with an overhead of 10%. Assume a bandwidth efficiency of 2-bps/Hz. 3.
1) G(s) = Use Matlab and obtain Nyquist Plot 2) G(s) = Kv1=0.325 Kv2=0.45 Note: K does not equal Kv Determine the phase margin, gain margin, and closed-loop bandwidth for each case. Determine these both graphically, from the appropriate bode plots, and using the Matlab functions margin and bandwidth
. Calculate the overhead associated with the following transmission schemes: a. Asynchronous transmission; 8 data bits, 1 start bit, 1 stop bit b. Asynchronous transmission; 7 data bits, 1 start bit, 1 stop bit c. Asynchronous transmission; 7 data bits, 2 start bits, 1 stop bit, 4 bit FCS d. Synchronous transmission; 100
1. Find the Laplace transform of . 2. Find the Laplace transform of . 3. Find the Laplace transform of . 4. Find the inverse Laplace transform of . 5. Find the inverse Laplace transform of . 6. Find the inverse Laplace transform of . 7. The voltage and current in the Laplace domain for a certain system is
Problem 2: A robot tennis player is shown in the figure above. The goal of the control system is to attain the best step response while attaining a high Kv. 1. Why is it desirable to attain a good step response and a high Kv? 2. Select Kv1=0.325 and Kv2=0.45. Note K does not equal Kv. Determine the phase margin, gain ma
1. The Bode plot for the loop function of a unity feedback system is shown below: Determine the gain K which must be added to the system so that a phase margin of 45 degrees is achieved. K=3.5 K=1.4 K=0.17 K=0.83 2. The loop function for a unity feedback system is: G(s) = 2K/s(s+1)2.
Write a C program for an automatic teller machine that dispenses the amount requested by user using the least number of bills.
Write a C program for an automatic teller machine that dispenses money. The user should enter the amount desired (a multiple of 10 dollars) and the machine dispenses this amount using the least number of bills. The bills dispensed are 50s, 20s, and 10s. Write a function that determines how many of each kind of bill to dispense.
How many bits will it take to represent the following sets of outcomes? (For example, 1 bit is enough to represent male/female, and 2 bits to identify four seasons of spring, summer, fall, winter as of 22 = 4) a. The uppercase alphabet A, B, . . . , Z b. The digits 0, 1, . . . , 9 c. The seconds in a 24-hour day d. The
Problem 1: Using the riocus function, obtain the root locus for the following transfer function shown in Figure 1 when 0 < k < ∞ and G(s) is defined as the following: G(s) = (s5+4s4+ 6s3+8s2+6s+4)/( s6+2 s5+2s4+s3+s2+10 -1) 1. Comment on the stability of the system as k varies. Figure 2 Problem 2: Consider
Problem 1: A unity negative feedback system has the open-loop transfer function. G(s) = (s + 1)/(s3 + 4s2 + 6s + 10) 1. Using MATLAB, determine the closed-loop transfer function. 2. Using MATLAB, find the roots of the characteristic equation. 3. Is the system stable, marginally stable, or unstable? 4. Use ltiview to d
Please see the attached file for a diagram and help with the following problems. Consider the closed-loop control system shown above. 1. Develop a MATLAB script to assist in the search for a value of k so that the percent overshoot to a unit step input is greater than 1%, but less than 10%. The script should compute the c
Please see the attachment. Design a clocked synchronous state machine with state/output table shown in the file, using D Flip-flops Use state variables Q0,Q1,Q2 with state assignment A=000 B=001 C=010 D=011 E=100 F=101 Use Don't care to minimize the circuit where appropriate. Develop excitation and output equations. Draw t
Please see the attachment. Analyze the clocked synchronous state machine shown in the file (part A). write the excitation and output equations. Develop the transition table and the state/output table. Draw the state diagram. Is this a Mealy of a Moore machine? Draw the timing diagram for the machine for 10 clock cycles. as
Show how to build a rising edge triggered SR flip-flop using a rising edge triggered D flip-flop and combinational logic. Hint: Use Characteristic equations in chpt 7 Reference material: Digital Design Principles and Practices (Fourth edition) by John F. Wakerly
Problem 1: Consider the closed-loop transfer function T(s) = 10K/(s2 + 20s + K) 1. Obtain the family of step responses for K=10, 100, and 500. Co-plot the responses and develop a table that includes the following: a. Percent overshoot b. Settling time c. Steady-state error. Figure 1 Problem 2: A negat
Problem 1: Consider the differential equation: d2y/dt2 + (3)dy/dt +2y = u where y(0) = dy(0)/dt = 0 and u(t) is a unit step. 1. Determine the solution y(t) analytically. I have the following(using Laplace transform): [s2Y(s) - sy(0)] + 3[sY(s) - y(0)] + 2Y(s) = 1/(s) s2Y(s) + 3sY(s) + 2Y(s) = 1/(s) Y(s)[s2 + 3s
Please see the attached file for details. 1. A continuous time signal x(t) has the Fourier transform X(w) = 1/(jw + b), where b is a constant. Determine the Fourier transform for v(t) = x(5t - 4). 2. For a discrete-time signal x[n] with the DTFT X(w) = 1/(e^jw + b), where b is an arbitrary constant compute the DTFT V(Ω
Please see the attached file for details. 4. Determine if x(n) = cos(pi* n/4)cos(pi* n/4) is periodic. If periodic, calculate period. 5. Determine if x(n) = cos(3t + pi/4) is periodic. If periodic, calculate period. 6. For the RC circuit shown in the figure, find the input/output differential equation.
Please see the attached file. 1. Determine if the linear time-invariant continuous-time system defined is stable, marginally stable, or unstable. s - 1/(s^2 +4s + 5). 2. Determine if the signal given is linear, time invariant, causal, and/or memory-less: y(t) = d^x(t). 3. Determine if the signal given is linear, tim
Please see attached file for problem details.