Consider the following linear difference equation
yk −0.55yk−1 +0.12yk−2 +0.08yk−3 =xk−1 +1.5xk−2 ,

defined for integers k ≥ 0.

1. (a) Assuming that the initial conditions y−1 = y−2 = y−3 = 0, what is the z-domain transfer function G(z) of the linear system relating the z-transform Y (z) of the output sequence {yk} to the z-transform X(z) of the input sequence {xk} ? Express your answer as a ratio of polynomials in z.

2. (b) What are the number of poles and the number of (finite) zeros of G(z) ?

3. (c) Given that G(z) has a pole at z = −0.25, find the remaining poles, and the finite zeros of

   G(z). Clearly indicate how you obtained the poles.

4. (d) Is the system G(z) bounded-input, bounded-output stable ? Explain your answer making

   reference to the stability boundary in the z-plane.

5. (e) In your answer booklet, neatly sketch the pole-zero-gain plot of G(z) remembering to

   include the leading co-efficient of the numerator polynomial.

6. (f) What are the transient response modes for G(z) ? Note : You are NOT required to determine residues, just the general form of each transient response mode. The response modes must be real-valued sequences.

1. (a) A temperature control process has a first-order response with a step response time of 12 seconds. In selecting a temperature sensor for the control system for the process, for what maximum value of sensor time-constant would you be looking?

(b) If your requirement is for a sensor suitable for a heavy industrial application, with a linear characteristic, working in temperatures up to 300°C, what type of sensor would you recommend? Draw the symbol for the sensor and show its interfacing circuit.

Please provide a clear, readable and accurate answer

An induction machine has four poles and is powered by two three-phase sources. The first feeds the stator at 60 Hz and the second feeds the rotor at 180 Hz. Knowing that the rotor rotates in the same direction as the stator field, we ask: a) Does the machine work as a brake, motor or generator? b) What is the slip value? c) What is the angular speed of the rotating field of the rotor in relation to the stator? d) What is the angular speed of the rotating field of the stator in relation to the rotor?

Please provide as much details as possible.

Define stability of a system and state the criterion (or criteria) for a system to be stable. What happens to an unstable system in terms of transient response? Can real physical systems be unstable?

Write an essay about the online exams at your university ?

A) A 150 + j300 Ohm load is connected to a 75 Ohm transmission line. Determine the value of the reactance to put in parallel at the input to the line and the length in wavelengths of the shortest transmission line to match with a 75 Ohm source.

B) Redo A using a short-circuited stub as the equivalent parallel reactance.

design a circuit of an alarm system that has buzzer that rings for 2 minutes and LED'S that flicker for 2minutes.

TOPIC; RENEWABLE ENERGY

DESIGN A SOLAR PLANT SYSTEM TO SUPPLY A HOME

MUST INCLUDE ALL INFORMATION FROM BASIC CALCULATION, TOTAL KWH PER MONTH, CHOOSE BATTERY SIZE, CHOOSE ARRAY, INVERTER.

PREPARE A REPORT THAT STATE ALL NEGATIVES AND POSITIVES.

A 14.2-mH inductor carries a current i = Imax sin ωt, with Imax = 5.20 A and f = ω/2π = 60.0 Hz. What is the self-induced emf as a function of time? (Express your answer in terms of t where e m f is in volts and t is in seconds. Do not include units in your expression.)

e m f =_________________-

Design an active high pass filter with a high frequency gain of 5 and a cutoff frequency of 2kHz. Use a 0.1 uF capacitor in your design.

Briefly explain the differences between a VTVM and a multimeter

1- Aliasing can affect DFTs, where higher frequency signals can appear as lower frequency signals due to the use of an N point DFT that has a limit to the highest frequency it can detect. Give one approach when using a DFT to reduce the potential of aliasing.

2-.   When using the standard MATLAB commands, or the design equations, to design an FIR filter why is it a good idea to check if the design meets requirements ? Be specific.

3-When using the bilinear transform what is meant by “pre-warping” and why is it necessary ?

4- When using one of the classic filter approximations, which approximation should be used if :

1. the minimum amount of output distortion is desired.

b. the minimum filter order is desired.

5- Give one advantage of using an FIR filter and one disadvantage of using an FIR filter, when compared to an IIR filter design for the same specification.

Advantage:

Disadvantage:

How to use or embed assembly routines/codes in C programs?