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Hint: If m(t) is a sinusoid, its Hilbert transform mp(t) is the sinusoid m(t) phase-delayed by7/2 rad. \text { 4.4-4 For the signals in Prob. 4.4-3 and a carrier frequency

} \omega_{c} \text { of } 1000 \pi \text { , use Eq. (4.20) to determine } \text { the time domain expressions } \varphi_{\mathrm{LSB}}(t) \text { and } \varphi_{\mathrm{USB}}(t) \text { . }

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