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I am confused with this sentence:

  • ...So, both of the speech signal and envelops were shifted with the same amount

Should I use both or both of and why?

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When you use "both" with two nouns or pronouns joined by "and," you don't say "both of." For example:

Both Mike and I were excited to watch the game.

You use "both of" with a plural noun or pronoun:

Both of us were excited to watch the game.

In your example, since you are using "and," you wouldn't say "both of."

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