A single-sideband (SSB) amplitude modulated signal is generated by modulating a carrier  signal with frequency 10 kHz and amplitude 4 V. If the message signal is, m(t )= 2cos (4000πt+π/3)+ sin (2000πt+π/3).  a) Find the Hilbert transform of message signal represented by mˆ(t). b) Determine the (time-domain) expression for the lower sideband of the SSB-AM signal. c) Determine and plot the magnitude spectrum (frequency) of the lower sideband SSB-AM  signal.

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A single-sideband (SSB) amplitude modulated signal is generated by modulating a carrier 
signal with frequency 10 kHz and amplitude 4 V. If the message signal is,
m(t )= 2cos (4000πt+π/3)+ sin (2000πt+π/3). 
a) Find the Hilbert transform of message signal represented by mˆ(t).
b) Determine the (time-domain) expression for the lower sideband of the SSB-AM signal.
c) Determine and plot the magnitude spectrum (frequency) of the lower sideband SSB-AM 
signal.

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