Patent ID: 7382846

Claim:
A method of correlating a signal to a synchronization pattern, the signal having a waveform with frequency and phase angle components that may be varied, at each repeated signal pulse, to communicate a change in a bit pattern of the signal, the method comprising: generating a synchronization pattern using a synchronization key; comparing the signal to the synchronization pattern according to a correlator function C(n) defined as C ⁡ ( n ) = ∑ k = 0 N - 2 ⁢ s ⁡ ( n + k ) ⁢ h ″ ⁡ ( k ) where s(n) is the signal, N is a number of signal pulses in the synchronization pattern to be used in said correlator function, h″(k) is the synchronization pattern having a value of t(k)+jt(k+1) when k is even and t(k+1)+jt(k) when k is odd, and t(k) is a function expressing a value of the bit pattern of the signal having a value of one of +1 and −1; and determining whether the comparison of the signal and the synchronization pattern indicate a correlation between the signal and the synchronization pattern.