Early–late gate In the early–late gate synchronizer, the outputs of two correlators can be viewed as the following two samples although their values are not equal. The correlator can be replaced by a matched filter and the output sampled at t¼T
 and t¼Tþ.

If the input of the multipliers is sðtÞ ¼
At=T; 0  t  T 0; otherwise (
:

(a) Compute and plot the output of the matched filter. Indicate how the values of these two samples are related to the time error.

(b) If the synchronizer is used with BPSK, explain why this is a non-decisiondirected structure.