A binary sequence b[n] is given as shown below b[n] =

{0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1}

Consider the following statements regarding the above coded sequence :

(i) It has a DC null in the PSD.

(ii) It possesses error detecting capability.

(iii) It possesses error correcting capability.

(iv) It facilitates clock recovery at the receiver.

Which of the above statements are true ?

The correct answer is Option 1.

Key Points

{0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1}

• A binary sequence b[n] is given as follows:
• The correct statements about this sequence are:
  • (i) It has a DC null in the PSD.
  • (iii) It possesses error correcting capability.
  • (iv) It facilitates clock recovery at the receiver.
• Therefore, the correct answer includes statements (i), (iii), and (iv).

Additional Information

• DC null in the Power Spectral Density (PSD) means the sequence has no DC component, which is beneficial for transmission over channels that do not pass DC.
• Error correcting capability ensures that the sequence can correct certain errors that occur during transmission, improving reliability.
• Clock recovery is facilitated by the sequence, which helps the receiver synchronize with the sender's clock, ensuring accurate data interpretation.
• Although the sequence does not explicitly mention error detecting capability, some codes can inherently detect errors while focusing on correction.