Question

Difference between wave analyzer and spectrum analyzer

Answer 1

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I believe that a wave analyzer helps you evaluate the characteristics of a wave - frequency, amplitude, phase angle, type of function, etc. while a spectrum analyzer tells you the various characteristics over a "spectrum" (range) of operational frequencies.

Obviously, we could get much more complicated and use a lot of gritty details to talk about this, but I get the feeling that your interest is of a more casual nature (i.e. you need an answer for your homework of something like that).