A discrete-time additive non-Gaussian noise channel is described by the input-output relation
yi = xi + ni
where ni represents a sequence of iid noise random variables with probability density function
and xi can take ±1 with equal probability, where i represents the time index.
1. Determine the cutoff rate R0 for this channel.
2. Assume that this channel is used with optimal hard decision decoding at the output. What is the crossover probability of the resulting BSC channel?
3. What is the cutoff rate in part 2?