The technique of interleaving, which allows bursts of errors to be treated as independent, is widely used, but is theoretically a poor way to protect data against burst errors, in terms of the amount of redundancy required. Explain why interleaving is a poor method, using the following burst-error channel as an example. Time is divided into chunks of length N = 100 clock cycles; during each chunk, there is a burst with probability b = 0.2; during a burst, the channel is a binary symmetric channel with f = 0.5. If there is no burst, the channel is an error-free binary channel. Compute the capacity of this channel and compare it with the maximum communication rate that could conceivably be achieved if one used interleaving and treated the errors as independent.