Is the sum of two periodic signals always periodic?
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Answer:
Not necessarily.
Step-by-step explanation:
Take the function
f(x)=sin(x)+sin(2–√x)
It doesn't look periodic because it isn't. The reason is that the two functions have periods that are not rational multiples of each other. The period of the sum of periodic functions is the least common multiple of the periods of all the functions, but when they are not rational multiples of each other, it doesn't make sense to talk about the LCM of them.
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