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Homework 2 Week 4 (0)

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Week 4 homework.
Question 1:
1. SNR – Ratio of root mean square signal to root mean square.
2. SINAD – Ratio of the RMS signal amplitude to the mean of value of the root sum square.
3. ENOB – The effective number of bits and relates to SINAD.
4. THD – Ratio of the rms value of the fundamental signal to the mean value of RSS of its harmonics.
5. SFDR – Ratio of the RMS value of the signal to the RMS value of the worst spurious signal.
6. Channels – multiple analog signal inputs to the ADC that can be individually selected or selected through a multiplexor.
7. Linearity – Describes how an ADC conveter follows a linear function.
8. Operating temperature – A temperature at which the ADC functions optimally, usually given by the manufacturer.
9. Power dissipation – The proportion of power dissipated (through heat ) when the ADC is working .
Question 2:
An 8 bit ADC has a reference voltage of 5V.
What is the digital output code word for an input of 1.2V?
001111012
What is the voltage range corresponding to 1 LSB?
0,0195V
Question 3.
A 15 bit ADC has a reference voltage of 10V. What is the digital output code word for an input of 6.83V?
101011101101100
Question 4.
What is the value of the quantization error between an input voltage of 2.3V and quantized voltage with the output code word equal to 011101012 using an 8 bit ADC with 5V reference?
0.01484375V
Question 5.
A digital multimeter is designed to have a readout with four decimal digits. How many bits will be required in its ADC?
13 Bits
Question 6.
From Wikipedia
Question 7.
a) How long would it take for this ADC to complete the run-up phase?
400 µs
b) How long would it take for this ADC to complete the run-down phase?
1 ms
Question 8.
What is the typical performance in terms of THD at a frequency of 500 kHz of:
a) MAX1200 pipeline ADC.
-85dB
b) MAX1201 pipeline ADC.
-85dB
c) MAX1205 pipeline ADC.
-84dB
Question 9.
Name two disadvantages of:
a) Flash ADC
Cost , high power demand
b) SAR ADC
Limited speed, requires anti-aliasing filter
c) Dual -slope ADC
Slow conversion, expensive components
d) Sigma Delta ADC
multibit ADC and multibit feedback DAC- higher order
Question 10.
a) Architecture
SAR
b) Differential linearity
+- 0,4 LSB
c) Minimum acquisition time
1,4 ms

d) Minimum conversion time
8,4 us
Question 11.
A 10 bit DAC has a reference voltage of 5.12V. What is the output voltage for a binary input code of 11000100012?
3,925V
Question 12
A 12 bit DAC has a reference voltage of 10V. What is the output voltage for a binary input code of 1001001001002?
5,67V
Question 13
What is the resolution of a 16-Bit DAC?
65536 bits
Question 14
Name 5 characteristics of DAC’s.
Gain error, offset error, resolution, monotonicity, accuracy
Question 15
For the following 3-Bit DAC, analyse the circuit to verify its operation for the following input combinations. (Assume VR=5V).
a) S2S1S0=0102
1,25
b) S2S1S0=1012
3,125
c) S2S1S0=0112
1,875
Question 16
1. Draw the motor current and the motor voltage characteristic during the operation with a constant PWM signal of 50% duty cycle .
2. Recommend the suitable range of frequency for this PWM applied in microcontrollers. Analyze the advantages and disadvantages of PWM systems.
The frequency should be about 30kHz, voltage 5V.
The advantages of PWM systems:
  • Very high efficiency (not much heat produced)
  • Relatively cheap
  • Makes the motor run better
    The disadvantages of PWM systems:
  • PWM circuits are complicated
  • Sensitive to electromagnetics and could interfere with radio signals , cause vibration frequencies, which causes noise.
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    Homework 2 Week 4 #1 Homework 2 Week 4 #2 Homework 2 Week 4 #3 Homework 2 Week 4 #4 Homework 2 Week 4 #5 Homework 2 Week 4 #6
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