Single Side Band (Hilbert Transform) Amplitude Modulation

Fig 1  System Level Block Diagram of SSB AM.

Fig 2  Simulink SSB Block Diagram.
Generated Sine wave = 1Sin(1000*2*pi*t)  This is the Carrier Frequency.
x(t) = 1Sin(100*2*pi*t) + 1Sin(300*2*pi*t) + 1Sin(500*2*pi*t) These are the signals entered into the system.

Fig 3  The Hilbert Transform
The Hilbert transform is a type of filter that has a constant gain of 1 and a constant phase shift of 90 degrees
over the whole frequency band.  As shown if Fig 2, the Hilbert transform is constructed with a Nth order FIR filter
and a delay of N/2.  In this case a 100th order FIR filter was designed. 

Fig 4  MATLAB simulations of the SSB modulation. 
Note: Both Upper SSB and Lower SSB are shown.  This can be switched by choosing which signals
(cosine or sine) to multiply to the entered signal. See Fig 1. 

Fig 5  Experimental simulations of USSB and LSSB.
Compare to Fig 4.