Consider a (48, 36) block error correcting code used in the downlink control channel of a cellular system. This code can correct up to 5 bit errors in a block of 48 bits.

a. What is the code rate?

b. What is the maximum error burst size (in bits) that can be tolerated and still have correct reception of the data?

c. An error burst is usually caused by time variation of the channel in cellular networks. If the control channel operates at 48 kbps, what is the maximum fade duration (in seconds) that can be tolerated?

d. If the 48 bit blocks are buffered until 10 blocks are collected and then they are interleaved and transmitted, what is the maximum error burst size that can be tolerated and still have correct reception of the data?

e. What is the delay incurred in buffering the data for interleaving and de- interleaving at a 48 kbps rate?