Referring to (5.68), it is sometimes desirable to leave a residual carrier component in a PSK-modulated waveform for carrier synchronization purposes at the receiver. Thus, instead of (5.68), we would have 

Find α so that 10% of the power of x_PSK (t) is in the carrier (unmodulated) component. (Use cos (u + v) to write X_PSK (t) as two terms, one dependent on d (t) and the other independent of d (t). Make use of the facts that d (t) = ± 1 and cosine is even and sine is odd.)

Transcribed Image Text:

0 < a < 1 XPSK (1) = A̟ cos |2n. |27f.1 +a %3D