Let m(t) denote a message signal and $$\hat m\left( t \right)$$  denote the Hilbert transform of m(t). Let the carrier frequency by ω_c. Then, the single sideband (SSB) modulated signal with the upper sideband (USB) transmitted is given as

A. $$m\left( t \right)\cos \left( {{\omega _c}t} \right) - \hat m\left( t \right)\sin \left( {{\omega _c}t} \right)$$

B. $$\hat m\left( t \right)\sin \left( {{\omega _c}t} \right)$$

C. $$m\left( t \right)\cos \left( {{\omega _c}t} \right)$$

D. $$m\left( t \right)\cos \left( {{\omega _c}t} \right) + \hat m\left( t \right)\sin \left( {{\omega _c}t} \right)$$

Answer: Option A