A binary data stream of 4 digits [1011] is spread using an 8-chip code sequence C(t)= [01 10 10 01]. The spread data phase modulates a carrier using binary phase shift keying. The transmitted spread-spectrum signal is exposed to interference from a tone at the carrier frequency but with 30 degrees phase shift. The receiver generates an in-phase copy of the code sequence and a coherent carrier from a local oscillator.
i. Determine the baseband transmitted signal.
ii. Express the signal received. Ignore the background noise.
iii. Assuming negligible noise, determine the detected signal at the output of the receiver.