Show the output contains a frequency component

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Reference no: EM131672588

The modulated signal in an SSB-SC Modulation system is given by

ΦSSB(t) = m(t) cos2Πfct ± m^ (t) sin 2Πfct

where fc is the carrier frequency, the ± sign indicates whether the modulated signal is LSB or USB, and m^(t) denotes the Hilbert transform of m(t).

The modulated signal is applied to a square-law device characterized by

y(t) = x2(t)

Show that the output y(t) contains a frequency component at twice the carrier frequency but it has a tune-varying phase. which makes it impractical to recover the carrier by squaring.

Reference no: EM131672588

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