Time Domain Description SSB-SC

In the time domain, the SSB-SC (Single Sideband Suppressed Carrier) signal can be described as a modulated signal that has a suppressed carrier and only one of the sidebands. The time domain representation of an SSB-SC signal is obtained by multiplying the message signal with a carrier wave and then suppressing or removing the carrier and one of the sidebands using filtering.

Time Domain Description SSB-SC

The mathematical expression for an SSB-SC signal in the time domain is given by:

x(t) = m(t)cos(2πfct) -/+ m(t)sin(2πfct)

where m(t) is the message signal and fc is the carrier frequency. The plus or minus sign depends on whether the upper or lower sideband is selected.

To obtain an SSB-SC signal, the carrier signal is first generated by multiplying the message signal with a high-frequency sinusoidal waveform. The product of the message signal and the carrier signal contains the carrier frequency and two sidebands, which are symmetrically located around the carrier frequency.

The SSB-SC signal is then obtained by filtering out the unwanted sideband and the carrier frequency. This can be achieved using various techniques such as the frequency discrimination method, the Weaver method, or the Hilbert transform method.

The resulting SSB-SC signal in the time domain is a modulated signal that contains only one of the sidebands and has the carrier frequency suppressed. The SSB-SC signal has a bandwidth equal to the message bandwidth and is more spectrally efficient than AM (Amplitude Modulation) signals, which contain both sidebands and the carrier frequency.

In summary, the time domain description of an SSB-SC signal involves the multiplication of the message signal with a carrier wave, followed by the suppression or removal of the carrier frequency and one of the sidebands using filtering, resulting in a single sideband signal with higher spectral efficiency.