We study the Han-Kobayashi (HK) achievable sum rate for the two-user
symmetric Gaussian interference channel. We find the optimal power split ratio
between the common and private messages (assuming no time-sharing), and derive
a closed form expression for the corresponding sum rate. This provides a finer
understanding of the achievable HK sum rate, and allows for precise comparisons
between this sum rate and that of orthogonal signaling.
We consider a set of primary channels that operate in an unslotted fashion,
switching activity at random times. A secondary user senses the primary
channels searching for transmission opportunities. If a channel is sensed to be
free, the secondary terminal transmits, and if sensed to be busy, the secondary
transmitter remains silent.We solve the problem of determining the optimal time
after which a primary channel needs to be sensed again depending on the sensing
outcome.