A rectangular pulse v(t) has a magnitude of 1.0 volts and duration 5 μs. The pulse is multiplied by a sine wave x(t) at a frequency of 2.0 MHz.
a. Write down an expression for the spectrum of the signal y(t) = x(t) x v(t).
b. Sketch the time waveform for y(t) over the time period ±2 μs about the center of the pulse.
c. Sketch the single sided spectrum of the pulse for a frequency range ± 400 kHz about 2.0 MHz. Normalize the peak value of the spectrum to 1.0.