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To maximize SU's temporal channel utilization while limiting its interference to PUs, a selective sensing and selective access (SS-SA) strategy for one slotted SU overlaying a non-time-slotted ON/OFF continuous time Markov chain (CTMC) modeled multi-channel primary network is proposed. Under the proposed selective sensing strategy, each channel will be detected approximate periodically with different periods according to the parameter Tc, which reflects the maximal period that each channel should be probed. Once the spectrum hole is found, if the sensing period is suitable, the SU could continuously access the channel until it sense this channel next time. Numerical simulations illustrate that Tc is a valid measurement to indicate how often the channel should be sensed, and with the SS-SA strategy, SU can effectively utilize the channels and consume less energy and time for sensing than two reference strategies.