Based on fourier series

Q1: how to determine if a signal function x(t) is periodic and ac. And what happens if there is x(t) = sint + cost + sint? How would we know if ac/periodic?

Q2: What is fourier series and fourier coefficients?

Q3: What is Fourier Trigonometric Series?

1) Convert (0.513)10 to octal.

2) Given the two binary numbers X = 1010100 and Y = 1000011, perform the subtraction (a) X - Y and (b) Y - X by using 2’s complements.

4) Simplify the Boolean function and draw the logic diagram to implement the function (i) F(a,b,c,d) = ∑(0,1,9,12,13,14) (ii) F(a,b,c,d) = ∑(0,2,3,5,9,10,15) with don’t care d(a,b,c,d) = ∑(1,3,7,8,11,)

5) Implement the Boolean expression F (A, B, C, D) = _(1, 3, 4,7, 8,12, 13, 14, 15) using 4X1 mux.

6) Write and verify verilog HDL of 4 bit Johnson counter.

7) Design a system that detects the occurrence of 110 or 001. The system input, output signals are given below

X 0 1 1 0 0 0 1 0 0 ;Y 0 0 0 1 0 0 1 0 0. Notice it is in table form but I wrote like that

8) Design a modulo 10 up/down counter with control input. Write a verilog code for your design and a test bench to verify your design.

Q) Develop a practical differentiator that will differentiate signals with frequencies up to 500 Hz. The gain at 100 Hz should be 1 . if the operational amplifier used in the design has unity gain frequency of 1 MHz, what is the upper cutoff frequency of differentiator? (solve neatly)

Consider the situation that a laptop is very hot, and the fans are running at full speed. You also notice that the applications running on the laptop are responding very slowly, and they are freezing often. Can you explain the situation?

Describe the major benefits and concerns of installing Internet Protocol (IP) based cameras for surveillance systems. Name four building types that are suitable for adopting IP-based cameras.。。。。

Draw a block diagram to show the communication process between a transmitter and a receiver. By referring to the diagram you draw, explain the role of ELV systems in enhancing the communication effectiveness and efficiency.

1. What are the key differences between Separated extra-low-voltage (SELV) system and Protective extra-low-voltage (PELV)? Illustrate your answer with the help of diagrams.

You are the designer for a public address (PA) system to be installed for a new hotel. The hotel shall have 15 storeys, 230 rooms, one recreational floor, one car park floor, two restaurants, and two banquet rooms.

1. (a) One of the banquet rooms has dimensions 45 m (width) x 35 m (length) x 5.5 m (height). If ceiling-mounted loudspeakers of 110° coverage angle is to be installed, calculate the number of speakers required for the room. State clearly ALL your assumptions in the calculations. Draw a simple layout plan to show the locations of the loudspeakers.

I have to design a single phase/50Hz step down transformer. Following information is given

Primary Voltage =240V, Secondary Voltage and current on secondary side should be 24V and 2A respectively.

efficiency should be in range of 70 to 80%.

Provide me all the necessary calculations to design this step down transformer.

And also note down all the hardware components that i should buy for this design.

Note: Tell me if i have missed any information for this project.

A single-phase 300-kVA, 220/4400 V, 60 Hz transformer yielded the following information when tested: High voltage winding open: Voltage=220 V, Current=40 A Power=l 000W Low voltage terminal shorted: Voltage= 195 V, Current=68.18A Power=4000W Find the equivalent circuit of the transformer as viewed from the high voltage Calculate the .efficiency of the transformer when it delivers its rated load at rated terminal voltage and 8 power factor lagging.

A three-phase line has an impedance of 1 + j3 Ω per phase. The line feeds a balanced delta-connected load, which absorbs a total complex power of 12 + j5 kVA. The line voltage at the load end has a magnitude of 300 V.

Calculate the magnitude of the line voltage at the source end.The magnitude of the line voltage at the source end is ____ V.

1. What is the type of transformer used in a SMPS power supply? Why is it necessary to use such type of a transformer?

Question 1:

Answer the following questions related to AVR Timer/counter:

1. Write an AVR program that flashes an LED (PC0) every 6 ms using CPU clock frequency of 32 kHz and TIMER0. Use Timer/Counter0 Overflow Flag (TOV0) in your code.
2. Write an AVR program that flashes an LED (PC0) every 2 seconds using XTAL clock frequency of 16MHz and Timer1. Use Timer/Counter1 Overflow Flag (TOV1) in your code.

Activity description

A program must be carried out in MATLAB or OCTAVE that acquires and analyzes (continuously or online) the voice signal that is acquired from the sound card of the PC (microphone input) or a signal that is acquired with an acquisition card of data (ex. NI DAQCard).

The program must continuously perform the functions: signal acquisition, spectral analysis of the acquired signal, graphs in the time domain and graphs in the frequency domain (magnitude and phase spectrum).

The program should display the following graphs:

1) Original signal in the time domain

2) Original signal in the frequency domain (magnitude and phase)

Program 1: Initially do not acquire the signal from the PC sound card, instead create a synthetic signal in the MATLAB workspace, for example a signal composed of the sum of two or more sinusoids of different amplitude, frequency and phase . The signal must be visualized in time (oscillations) and the frequency analysis (magnitude spectrum) must show the presence of the original frequencies. It is important to assume a certain sampling frequency and a duration of the synthetic signal.

Program 2: After this works, start with a static version of the voice signal analyzer (ie the input signal is only a defined time window, for example three seconds), i.e. program 2 is an improved version of program version 1 where instead of a synthetic signal the signal that is acquired with the sound card is used in a time range of for example 3s. Note that this frequency is acquired at a certain sampling frequency. Finally, make the necessary adaptations and changes to the version 1 program so that it works online or continuously.

Questions to answer:
1) What is the analysis in the frequency domain of a signal? What differences exist with respect to time domain
2) What is the FFT?
3) What type of signals (continuous or discrete) are being used in the program? Explain your answer.
4) Explain what the frequency spectrum of a signal is (remember that the frequency spectrum is two graphs).
5) According to the project, generally what type of signals do we find in nature (continuous or discrete) and what type of signals do computer systems use (continuous or discrete)?