Sorry, no online dictionaries contain the exact phrase useful signal noise to noise ratio.

Reverse dictionary results:
1. dolby
 2. s/n
3. signal-to-noise
4. signal/noise
5. signal-to-noise ratio
6. preamplifier
7. signal/noise ratio
8. compander
9. single sideband transmission
10. efficiency
 11. alarm
12. snow
13. help
14. tone
15. asset
16. benefit
17. lesson
18. line
19. plus
20. spectral luminous efficiency
 21. toning
22. cuts
23. expressing
24. reporting
25. concern
26. critical
27. quantity
28. sensible
29. significant
30. time
 31. value
32. values
33. beat
34. beats
35. something
36. sound
37. score
38. direction
39. call
40. tap

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You can look up the words in the phrase individually using these links:   useful ?   signal ?   noise ?   to ?   noise ?   ratio ?
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usef*to search for words beginning with usef, or
*atioto search for words ending with atio
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