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Chapter 20: Q33P (page 527)

A spectrum has a signal-to-noise ratio of 8/1. How many spectra must be averaged to increase the signal-to-noise ratio to 20 / 1?

Short Answer

Expert verified

The spectra must be averaged to increase the signal-to-noise ratio to 20 / 1 is 7 scans required.

Step by step solution

01

Definition of Signal to noise

  • In science and engineering, the signal-to-noise ratio compares the level of a desired signal to the amount of background noise.
  • The signal-to-noise ratio (SNR) is frequently given in decibels and is defined as the ratio of signal power to noise power.
02

Determine the many spectra must be averaged to increase the signal-to-noise ratio to 20 / 1

  • The spectra must be averaged in order to enhance the signal-to-noise ratio to 20 / 1.
  • Initial ratio is as follows: 8/1
  • The signal-to-noise ratio is increased by averaging the factor of a particular ratio 2.5
  • It must now raise the ratio from 8 to 20 (factor of208=2.5)
  • As a result, the necessary factor is2.52=6.25there are around 7 scans.
  • To boost the signal-to-noise ratio to 20 / 1, the spectra must be averaged, which takes 7 scans.

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