Concept explainers
(a)
Interpretation:
The signal-to-noise ratio is to be stated.
Concept introduction:
The signal and noise are two components of instrument measurement. One component is the signal, which carries information that is of interest to scientists and another component is noise, which is the unwanted fluctuations of signals.
Answer to Problem 5.7QAP
The signal-to-noise ratio is
Explanation of Solution
The magnitude of signal is denoted by
The expression for the mean of the measurements is:
Here, the total number of measurement is
Substitute
The expression for the standard deviation is:
Substitute
The expression for the signal to noise ratio is:
Substitute
(b)
Interpretation:
The number of measurements required to obtain a
Concept introduction:
The signal and noise are two components of instrument measurement. One component is the signal, which carries information that is of interest to scientists and another component is noise, which is the unwanted fluctuations of signals. For
Answer to Problem 5.7QAP
The number of measurement required to obtain a
Explanation of Solution
The expression for
Here, the signal to noise at initial point is
Substitute
Substitute
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