Fundamentals of Electrical Engineering I by Don Johnson & Don Johnson

Author:Don Johnson & Don Johnson [Johnson, Don]
Language: eng
Format: epub

A phenomenon reminiscent of the errors incurred in representing numbers on a computer prevents signal amplitudes from being converted with no error into a binary number representation. In analog-to-digital conversion, the signal is assumed to lie within a predefined range. Assuming we can scale the signal without affecting the information it expresses, we'll define this range to be [ – 1, 1] . Furthermore, the A/D converter assigns amplitude values in this range to a set of integers. A B -bit converter produces one of the integers {0, 1, …, 2 B − 1} for each sampled input. Figure 5.6 shows how a three-bit A/D converter assigns input values to the integers. We define a quantization interval to be the range of values assigned to the same integer. Thus, for our example three-bit A/D converter, the quantization interval Δ is 0.25 ; in general, it is .

Exercise 5.4.1. (Go to Solution)

Recalling the plot of average daily highs in this frequency domain problem, why is this plot so jagged? Interpret this effect in terms of analog-to-digital conversion.

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