In Binary Phase Shift Key, binary data (bits) are sent over an analog channel by the fol...

In Binary Phase Shift Key, binary data (bits) are sent over an analog channel by the following method:

A signal

is sent in which a is the binary bit being sent (0 or 1).

The receiver works by determining a constant r as

where r(t) is the received signal (see Figure P6.38) and

Assume that r(t) = s(t) (i.e., you do not have to consider noise in the communication channel). The decision rule is if r > 0, a t was sent and if r < 0, a 0 was sent.

(a) What is r if a digital 0 is sent?

(b) What is r if a digital 1 is sent?