Discussion
Multiplying two signals in the time domain corresponds in frequency to
Answer: D
Multiplication in time is convolution in frequency, and the dual holds too: convolution in time is multiplication in frequency. That single property explains modulation, since multiplying a message by a carrier convolves the message spectrum with a pair of impulses and so shifts it up to the carrier frequency. Multiplying spectra corresponds to filtering in time. Addition of spectra corresponds to adding the signals. Differentiation is unrelated to the product rule here.
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