Basically,the product modulator is

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(B) product modulator is a device used in communication systems to multiply two signals together. In the context of modulation,it takes a message sign

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$A$ mixer

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(B) product modulator is a device used in communication systems to multiply two signals together. In the context of modulation,it takes a message signal and a carrier signal as inputs and produces an output that is the product of these two signals. This process is essentially the same as frequency mixing,where the output contains the sum and difference frequencies of the input signals. Therefore,a product modulator is fundamentally a mixer.

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