3. For the sampling, since we-hadina mar Frequency of 24H2, than the sample need to be at (10-20) times. There fore the sampling an appropriate rate is at 200KHz • YOOK H at (1) 5. Analog signal √(E) Vin = 6 sinwt &max = 24H₂ -6 6 tCms a resoultion to be less than •We 2mv 0.002 > Vrange 2n "I could have Selected a range ±6V So instead, I select a range of ± 12V (Saftey factor) (2) 0.002) 24V 2n 2n 24 0.002 I need the bit size n) 13.55 of 14 bit in A/D converter 27 12000 log (12,0001 n ·log (2) log (12000) →³n > Tog (2)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Design an Analog to Digital converter system to sample  a voltage  =  6 sin wt. This signal 
has a maximum frequency of 2000 Hz.  You want to have a quantization error of 
less than 2  millivolts.   Specify: (1) the range you would use, (2) the bit size,  and (3) the sampling rate.  Explain and show your calculations.  (Note:  quantization error = ½ of the resolution;
resolution = voltage value associated with a change of the least significant bit).

3. For the sampling, since we-hadina mar
Frequency of 24H2, than the sample need to
be at (10-20) times. There fore the sampling
an appropriate rate is at 200KHz • YOOK H
at
Transcribed Image Text:3. For the sampling, since we-hadina mar Frequency of 24H2, than the sample need to be at (10-20) times. There fore the sampling an appropriate rate is at 200KHz • YOOK H at
(1)
5. Analog signal
√(E)
Vin = 6 sinwt
&max = 24H₂
-6
6
tCms
a
resoultion to be less than
•We
2mv
0.002 > Vrange
2n
"I could have
Selected
a
range ±6V
So instead, I select a range of ± 12V (Saftey factor)
(2) 0.002) 24V
2n
2n 24
0.002
I need the bit size
n) 13.55 of 14 bit in
A/D converter
27 12000
log (12,0001
n
·log (2) log (12000) →³n > Tog (2)
Transcribed Image Text:(1) 5. Analog signal √(E) Vin = 6 sinwt &max = 24H₂ -6 6 tCms a resoultion to be less than •We 2mv 0.002 > Vrange 2n "I could have Selected a range ±6V So instead, I select a range of ± 12V (Saftey factor) (2) 0.002) 24V 2n 2n 24 0.002 I need the bit size n) 13.55 of 14 bit in A/D converter 27 12000 log (12,0001 n ·log (2) log (12000) →³n > Tog (2)
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