Binary Phase-Shift Keying (BPSK)

Binary Phase-Shift Keying (BPSK) is one of the modulation methods of Phase-Shift Keying (PSK), which uses two phases.

BPSK signal is descrived as below.

\[s(t) = A\cos{(2\pi ft+\phi)}\]

where \(A\) is amplitude of carrier wave, \(f\) is frequency of carrier wave.

\(\phi\) is phase depending on signal,

  • If 1, \(\phi = 0\)
  • If 0,\(\phi = \pi\)

Using this equation, BPSK signal can be shown as:

This is Power Flux Density (PFD) of BPSK.

\[P_{BPSK}(f) = \frac{E_b}{2}\left[\left(\frac{\sin{\pi (f-f_c)T_b}}{\pi (f-f_c)T_b}\right)^2+\left(\frac{\sin{\pi (f+f_c)T_b}}{\pi (f+f_c)T_b}\right)^2\right]\]