IS 3413 M03 Lab Signal Coding
Designed a digital code for quantizing analog signals from -3.5V to +3.5V in 0.5V steps. Calculated and applied the minimum number of bits needed to represent each voltage level for efficient binary encoding.
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IS 3413 Lab: Signal Coding
In this lab, we develop the digital signal code fora basic, notional codec. A certain application needs to
quantize analog signals varying between -3.5 volts and +3.5 volts (see figure). The proper sampling frequency
has been determined, and the sensitivity requires that each sample be within 0.5 volts of any true analog
signal (signal displayed as example only). You must provide a digital (binary} code., using the m i n i m u m numbe
of bits necessary, to represent each voltage, in 0.5 volit increments, from -3.5 volts to 3.5 volts.
O.QV
i.ov
10ml«Stliifrt lSmi«
When the blank lines on the left of the figure are filled in with your digital code, the graph will be similar to
(but not the same as) graphs in figure 3-20 of the text. To complete the assignment, upload a Word (.docx} oi
Adobe (.pdf) file with answers to the 2 questions below, followed by a table or list indicating your digital
code representation for each voltage level as your submission to this assignment in Blackboard.
1. How ma n y diff ere nt voltage Ievels m ust be rep rese nted ?
- 3.5-(-3.5)= 7 V
- Internal size= 0.5 = 7v/0.5v= 14 Intervals
- The numbers of voltage levels = 14+1= 15 levels
2. How many bits are needed to rep resent at /east this many levels (i.e., if the answer to question 1 is ,
then you must find ,such t h a t i * > AT )?
- 2A x = N &
- From the previouf step, N=15
- 2A x=15
- Log2A 2 A x= log2A15 = 3.9
- X=4 bits
In this lab, we develop the digital signal code fora basic, notional codec. A certain application needs to
quantize analog signals varying between -3.5 volts and +3.5 volts (see figure). The proper sampling frequency
has been determined, and the sensitivity requires that each sample be within 0.5 volts of any true analog
signal (signal displayed as example only). You must provide a digital (binary} code., using the m i n i m u m numbe
of bits necessary, to represent each voltage, in 0.5 volit increments, from -3.5 volts to 3.5 volts.
O.QV
i.ov
10ml«Stliifrt lSmi«
When the blank lines on the left of the figure are filled in with your digital code, the graph will be similar to
(but not the same as) graphs in figure 3-20 of the text. To complete the assignment, upload a Word (.docx} oi
Adobe (.pdf) file with answers to the 2 questions below, followed by a table or list indicating your digital
code representation for each voltage level as your submission to this assignment in Blackboard.
1. How ma n y diff ere nt voltage Ievels m ust be rep rese nted ?
- 3.5-(-3.5)= 7 V
- Internal size= 0.5 = 7v/0.5v= 14 Intervals
- The numbers of voltage levels = 14+1= 15 levels
2. How many bits are needed to rep resent at /east this many levels (i.e., if the answer to question 1 is ,
then you must find ,such t h a t i * > AT )?
- 2A x = N &
- From the previouf step, N=15
- 2A x=15
- Log2A 2 A x= log2A15 = 3.9
- X=4 bits
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