Design an IIR digital filter based on the bilinear transformation method using the following transfer function as a reference (use three decimal places of precision for your response):
H (s) = 5 / (s ^ 2 + 1.1s +5)
The digital filter must have a resonant frequency at wr = pi / 3

a) Calculate H (z)
b) Find the correctly simplified difference equation of the designed system.
c) Implement the discrete system obtained using block diagram..

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full theory and mathematical derivatives behind induction type Instruments

Synchronous generators are kept in synchronism by the:

1) Implement the given logic function using a 4:1 MUX. F(A,B,C) = Σm(0,1,3,7) Show the truth table, the 4:1 MUX schematic with the inputs, select inputs and the output.

2) 2) For an 8:3 priority encoder:

a) Draw the schematic.

b) Write the truth table.

c) Write the Boolean expressions for each of the outputs in terms of the inputs. d) Draw the logic circuit for the outputs in terms of the inputs.

A construction unit Class C Basic Toolroom has a 110 volt 20A circuit has the following items: three 200 watt lights, a 2500 watt heating machine, a 1000 watt heating machine and a ¼ hp motor (use 1000 watts/hp). All of these items act as a load on the circuit. As measured in amperes, determine the circuit load.

List the starting methods used in starting 3-phase induction motors and explain any two of these methods.

Search the Internet for four single-phase inverters and summarize the operating conditions in a table and discuss the results.

Choose the correct answer

1. Telegraph signals are examples of

a. Digital signals b. Analog signals c. Impulse signals d. Pulse train

2. DTFT is the representation of

a. Aperiodic Discrete time signals b. Periodic Discrete time signals c. Aperiodic continuous signals d. Periodic continuous signals

3. Frequency selectivity characteristics of DFT refers to

a. Ability to resolve different frequency components from input signal b. Ability to translate into frequency domain c. Ability to convert into discrete signal d. None of the above

4. FFT may be used to calculate

a. DFT b. Laplace transforms c. Direct Z transform d. In direct Z transform

5. The similarity between the Fourier transform and the z transform is that

a. Both convert discrete time domain to frequency spectrum domain b. Both convert frequency spectrum domain to discrete time domain c. Both convert analog signal to digital signal d. Both convert digital signal to analog signal

6. The IIR filter designing involves

a. Designing of analog filter in analog domain and transforming into digital domain b. Designing of analog filter in digital domain and transforming into analog domain c. Designing of digital filter in digital domain and transforming into analog domain d. Designing of digital filter in analog domain and transforming into digital domain

7. Which among the following represent/s the characteristic/s of an ideal filter?

a. Constant gain in passband b. Zero gain in stop band c. Linear Phase Response d. All of the above

8. The interface between an analog signal and

a. D/A converter b. Modulator c. Demodulator d. A/D converter

9. The discrete impulse function is defined by

a. δ(n) = 1, n ≥ 0 , n ≠ 1 b. δ(n) = 1, n ≤ 0, n ≠ 1 c. δ(n) = 1, n ≤ 0, n ≥ 1 d. δ(n) = 1, n = 0, n ≠ 1x 10. If a signal x(n) is passed through a system to get an output signal of y(n)=x(n+1), then the signal is said to be a. Delayed b. No operation c. None of the mentioned d. Advanced

10. If a signal x(n) is passed through a system to get an output signal of y(n)=x(n+1), then
the signal is said to be
a. Delayed b. No operation c. None of the mentioned d. Advanced

1. Determine the current in the circuit by calculating the current in the resistor. Note: We will use I (and V_R since it has the same phase) for reference throughout our analysis (V_R/R = I).

2. Determine the capacitance of the circuit from its reactance, the current calculated above, and the frequency of the source (V_C/I = X_C).

3. Determine the inductance of the circuit from three different voltage measurements, the current calculated in step 1, and the frequency of the source, following the instructions below carefully (this can be complicated).

1. Determine the phase of V_LR with respect to V_R using the law of cosines (V_Lr²= V_LR² + V_R² – 2V_LRV_R cos(α)).

2. Determine the fraction of V_LR due to V_L alone (V_L = V_LRsin(α)).

3. Determine the inductance of the circuit from its reactance using the current determined in step 1 and the V_L determined above (V_L/I =X_L).

4. Determine the loss in the inductor and write it as a resistance using the current found in step 1

            (V_r = V_LRcos(α) – V_R and r = V_r/I).

4. Determine the phase between the source voltage and the current (φ = tan^-1 [(V_L – V_C)/(V_R+V_r)]).

5. Calculate the resonant frequency of the circuit from the values you determined for L and C

Design a Traffic Light that upon reset, turns Red for 10 seconds, then Green for 10 seconds, then Yellow for 5 seconds. Assume a CLK period of 5 seconds. Draw the State Transition Diagram, State Transition Table and Output Table, find the Boolean Equations for Next State and Output and draw the logic circuit.

1. a) Compute the impulse response of the following filters. If the impulse response is infinite, feel free to stop once a pattern becomes apparent.

i. y[n] = 2/3 · x[n − 1] − 1/3 x[n − 2]

ii. y[n] = x[n − 1] − x[n − 2] − 1/3 y[n − 2]

b) What are the feed-back (b[k]) and feed-forward (a[k]) coefficients of the following filters? You may assume that a starts at delay of k = 1 (i.e., does not include the gain factor).

i. y[n] = 1/2 · x[n] + 1/2 · x[n − 2] + y[n − 1] − y[n − 2] + y[n − 3]

ii. y[n] = ∑ 4 k=0 (−1)^k · x[n − k]

c) Two of the systems given in questions (1) and (2) are FIR filters; which ones? For each one, construct plots (using a computer) of the DFT of the impulse response magnitude |H[m]|. (To make it concrete, zero-pad the impulse response to N = 512 samples.) What can you infer about these filters from the resulting plots?

d) For all of the systems given above (either FIR or IIR), compute (sample) their z-transform by using scipy.signal.freqz, and plot the resulting magnitude responses |H(z)|. For the FIR systems, how do the plots compare to your plots in question 3? For the IIR systems, what can you learn about the systems from the frequency response curves? What do these curves not tell you?

e) Compute the poles and zeros of the filters given in questions (1) and (2). For each filter, determine if it is high-pass or low-pass, and whether or not it is stable.

Design a16-bit RISC MIPS Processor.

Develop modules, a block diagram, Verilog codes used, and the waveforms screen-prints.

Question:

Modern signalling systems require different levels of safety integrity levels for communication between different systems. Provide a system architecture which shows a signalling system including:

i) The signallers’ interface

ii) The interlocking

iii) Object controllers

iv) Line side objects

(a) Your answer should describe the safety integrity requirements for each part of the signaling system.

(b) Identify the key system interfaces and describe the communication method, including a outline of the protocol requirements and how the safety integrity level is maintained.

Write a report 3-4 pages in DSP

Digital FIR filter design Analysis {Low Pass Filter(LPF) ,High Pass Filter(HPF), Band Pass Filter (BPF), Band Stop Filter (BSF)} Design
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