http://ieeexplore.ieee.org TOC Alert for Publication# 26 2009 November 06 57 10 c1 c3 92 57 10 2841 2845 322 57 10 2846 2848 260 57 10 2849 2852 241 57 10 2853 2856 365 n(γ x q), represents a regular quasi-cyclic (QC) LDPC code, denoted (see PDF), of high rate and girth 6. The minimum distance of (see PDF) is equal to that of the core code (see PDF) introduced by L(γ x q). The support of the minimum weight codewords in (see PDF) are characterized by the support of the same type of codewords in (see PDF). From performance perspective the constructed codes compete with the pseudorandom LDPC codes.]]> 57 10 2857 2863 360 57 10 2864 2867 464 57 10 2868 2871 278 57 10 2872 2875 249 57 10 2876 2879 272 57 10 2880 2885 294 57 10 2886 2890 253 57 10 2891 2894 236 57 10 2895 2898 251 57 10 2899 2902 208 57 10 2903 2908 436 57 10 2909 2913 296 57 10 2914 2917 271 57 10 2918 2922 199 57 10 2923 2931 376 57 10 2932 2939 419 57 10 2940 2950 781 57 10 2951 2959 291 57 10 2960 2970 451 57 10 2971 2976 480 57 10 2977 2987 455 57 10 2988 3000 559 57 10 3001 3011 670 57 10 3012 3023 658 57 10 3024 3033 405 57 10 3034 3044 720 57 10 3045 3058 645 57 10 3059 3068 617 57 10 3069 3077 536 57 10 3078 3091 1208 57 10 3092 3102 527 57 10 3103 3112 337 57 10 3113 3122 612 57 10 3123 3131 804 57 10 3132 3143 489 t antennas and transmits data to its single-antenna receiver using beamforming. The beamformer is designed to maximize the cognitive signal-to-interference ratio (CSIR). Using mathematical tools from random matrix theory, we derive both lower and upper bounds on the average interference created by the cognitive transmitter at the primary receivers and the average CSIR of the cognitive user. We further analyze and prove the convergence of these two performance measures asymptotically as the number of antennas N_t or primary users N_p increases. Specifically, we show that the average interference per primary receiver converges to E[d^-alpha], the expected value of the path loss in the network, whereas the average CSIR decays as 1/c when c = N_p/N_t rarrinfin. In the special case of N_t / N_p, the lower bound of the average total interference approaches 0 and the upper bound of the average CSIR approaches N_tE[d-^alpha]/alpha²c where alpha²c is the noise variance at the cognitive receiver.]]> 57 10 3144 3153 473 57 10 3154 3163 556 57 10 3173 3164 705 57 10 3174 3174 28