Accessible Capacity of Secondary Users

Details Accessible Capacity of Secondary Users Accessible Capacity of Secondary Users

2010-12-21

arxiv.org/abs/1012.5197v1

Computer Science

Information Theory

28 pages, 11 figures; Submitted to IEEE Transactions on Information Theory, December, 2010

Scientific paper

A new problem formulation is presented for the Gaussian interference channels (GIFC) with two pairs of users, which are distinguished as primary users and secondary users, respectively. The primary users employ a pair of encoder and decoder that were originally designed to satisfy a given error performance requirement under the assumption that no interference exists from other users. In the case when the secondary users attempt to access the same medium, we are interested in the maximum transmission rate (defined as {\em accessible capacity}) at which secondary users can communicate reliably without affecting the error performance requirement by the primary users under the constraint that the primary encoder (not the decoder) is kept unchanged. By modeling the primary encoder as a generalized trellis code (GTC), we are then able to treat the secondary link as a finite state channel (FSC). The relation of the accessible capacity to the capacity region of the GIFC is revealed. Upper and lower bounds on the accessible capacity are derived. For some special cases, these bounds can be computed numerically by using the BCJR algorithm. The numerical results show us, as expected, that primary users with lower transmission rates may allow higher accessible rates, and that better primary encoders guarantee not only higher quality of the primary link but also higher accessible rates of the secondary users. More interestingly, the numerical results show that the accessible capacity does not always increase with the transmission power of the secondary transmitter.

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