Multiple choice

A 100 MHz carrier of 1 V amplitude and a 1 MHz modulating signal of 1 V amplitude are fed to a balanced modulator. The output of the modulator is passed through an ideal high-pass filter with cut-off frequency of 100 MHz. The output of the filter is added with 100 MHz signal of 1 V amplitude and 900 phase shift as shown in the figure. The envelope of the resultant signal is

  1. constant
  2. $\sqrt{1+sin(2\pi \times 10^6 t)}$
  3. $\sqrt{ \dfrac{5}{4} - sin(2\pi - 10^6 t)}$
  4. $\sqrt{ \dfrac{5}{4} + cos(2\pi - 10^6 t)}$
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C Correct answer
Explanation

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