3.9 Time-Division Multiplexing In some situation when there is word in receiver data stream happening to match the bits in the sync word, False sync output pulses will occur. Its probability is: P=2 -K Erampleif P=4*10-5 is the allowed probability of false sync, then a K=15-bit sync word is required. That is, a 15-stage shift register is needed for the frame synchronizer in the receiver e. Since the output of the coincident detector is a digitized crosscorrelation of the sync word with the passing K-bit word stored in the shift register. The sync words autocorrelation function must have the properties: Rs(O)=l and r(k=0 for k not equal to 0.99 3.9 Time-Division Multiplexing • In some situation, when there is word in receiver data stream happening to match the bits in the sync word, False sync output pulses will occur. Its probability is: = 2 (3 -90) -K Pf • Since the output of the coincident detector is a digitized crosscorrelation of the sync word with the passing K-bit word stored in the shift register. The sync word’s autocorrelation function must have the properties: Rs (0)=1 and R(K)=0 for k not equal to 0. • Exampleif Pf=4*10-5 is the allowed probability of false sync, then a K=15-bit sync word is required. That is, a 15-stage shift register is needed for the frame synchronizer in the receiver