Question
Download Solution PDFAn analog voltage is in the range of 0 to 8 V is divided in eight equal intervals for conversion to 3-bit digital output. The maximum quantization error is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The concept of converting an analog signal to its digital counterpart is explained with the help of the following diagram:
∴ The maximum quantization is given as:
\({Q_{e\left( {max} \right)}} = \frac{{\rm{\Delta }}}{2}\)
Δ = step size given by:
\({\rm{\Delta }} = \frac{{{V_{max}} - {V_{min}}}}{L}\)
L = Number of levels
Calculation:
With n = 3, the number of levels will be:
L = 23 = 8
With analog input in the range 0 to 8 V and L = 8, the step size will be:
\({\rm{\Delta }} = \frac{{8 - 0}}{{8}} = 1\)
Now, the maximum quantization error will be:
\({Q_{e\left( {max} \right)}} = \frac{{1}}{2} = 0.5\)
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