Technology of cognitive radio networks has emerged as an effective method to enhance the utilization of the radio spectrum where the primary users have priority to use the spectrum,and the secondary users try to exploit the spectrum unoccupied by the primary users.In this paper,considering the non-saturated condition,the performance analysis for the IEEE 802.11-based cognitive radio networks is presented with single-channel and multi-channel,respectively.For the single-channel case,an absorbing Markov chain model describing the system transitions is constructed,and one-step transition probability matrix of the Markov chain is given.By using the method of probability generating function,the non-saturated throughput of the secondary users is obtained.For the multi-channel case,taking into account the negotiation-based sensing policy,the mean number of unused channels perceived by the second users is given,and then the non-saturated aggregate throughput of the secondary users is derived.Finally,numerical examples are provided to show the influences of the non-saturated degree,the number of the secondary users and the channel utilization of the primary users on the performance measures for the non-saturated throughput with single-channel and the non-saturated aggregate throughput with multi-channel. Technology of cognitive radio networks has emerged as an effective method to enhance the utilization of the radio spectrum where the primary users have priority to use the spectrum, and the secondary users try to exploit the spectrum unoccupied by the primary users. In this paper, considering the non-saturated condition, the performance analysis for the IEEE 802.11-based cognitive radio networks is presented with single-channel and multi-channel, respectively. For the single-channel case, an animation Markov chain model describing the system transitions is constructed, and one-step transition probability matrix of the Markov chain is given. By using the method of probability generating function, the non-saturated throughput of the secondary users is obtained. For the multi-channel case, taking into account the negotiation-based sensing policy, the mean number of unused channels perceived by the second users is given, and then the non-saturated aggregate throughput of the secondary users is derived. F inally, numerical examples are show to influences the non-saturated degree, the number of the secondary users and the channel utilization of the primary users on the performance measures for the non-saturated throughput with single-channel and the non-saturated degree aggregate throughput with multi-channel.