A measurement with a signal-to-noise ratio of 100/1 can be thought of as a signal, S
Chapter 19, Problem 19-34(choose chapter or problem)
A measurement with a signal-to-noise ratio of 100/1 can be thought of as a signal, S, with 1% uncertainty, e. That is, the measurement is S e 100 1. (a) Use the rules for propagation of uncertainty to show that, if you add two such signals, the result is , giving a signal-to-noise ratio of . (b) Show that if you add four such measurements, the signal-to-noise ratio increases to 200/1. (c) Show that averaging n measurements increases the signal-to-noise ratio by a factor of compared with the value for one measurement. 1
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