【正文】
非正則 LDPC碼的構(gòu)造準(zhǔn)則 I. II. III. IV. 1m a x2???vdii?1m ax2???cdii??????? m a xm a x22)1( cc diidii iRi ??? ?m a x, . . . ,3,2),(, vrkji drkji ????? ???? a xm a xm a xm a x2i42i32i22i1 ???? ???? vvvv d id id id i====????04/1/2022 基于并行獨(dú)立信道的非正則 LDPC碼的設(shè)計(jì) 非正則 LDPC碼的搜索方法 ? 離散概率密度演化算法 (DDE) [12] ? 高斯均值近似法 [13] ? 差分演化算法 [14] : 最優(yōu)非正則 LDPC碼的搜索實(shí)際上是一個(gè)在若干個(gè)約束條件下求多維連續(xù)線性空間 極值的問(wèn)題 04/1/2022 基于并行獨(dú)立信道的非正則 LDPC碼的設(shè)計(jì) ? 非正則 LDPC碼 碼長(zhǎng) 1024 非正則 LDPC碼中具有不同節(jié)點(diǎn)度的信息 位的誤碼率性能 ???? ????0 . 7 5 8 7 70 . 2 4 1 2 3 , 65 ?? ?? BPMLCID系統(tǒng)采用不同構(gòu)造準(zhǔn)則時(shí)的 1/2碼率的 最優(yōu)非正則 LDPC碼噪聲門(mén)限比較 04/1/2022 BPMLCID系統(tǒng)性能仿真 非迭代譯碼時(shí) BPMLC系統(tǒng)的性能比較 迭代譯碼時(shí) BPMLC系統(tǒng)的性能比較 04/1/2022 后續(xù)工作 ? 我們提出的方案 BPMLCID方案還可以進(jìn)一步推廣到MIMO領(lǐng)域,即基于空間獨(dú)立并行信道的非正則 LDPC碼設(shè)計(jì) ? 上述方案可以和星座的設(shè)計(jì)融合起來(lái),即把歐氏距離準(zhǔn)則作為最優(yōu) LDPC的搜索的代價(jià)函數(shù)。 ? 在 MIMO空間上進(jìn)一步研究星座的最優(yōu)分布及映射方案 參考文獻(xiàn) [1] Ungerboeck G. Trelliscoded modulation with redundant signal sets [J].IEEE Communications Magazine, 1987, 25(2):521. [2] and IEEE Trans on Com 1988,36(3). [3] Imai H, H irakaw a S. A New Multiple Coding Method Using ErrorCorrecting Codes [J ]. IEEE Trans Inform Theory, 1977, IT223: 371~ 376. [4] Rajapl S, RheeD J , L in S. MultiDimensional TrellisCoded Phase Modulation Using a Multilevel Concatenation Approach [A]. In Proc IEEE Int Symp Inform Theory, Budapest, Hungary[C]. 1991. 23~ 28. [5] Zehavi E. 8PSK trellis codes for a rayleigh channel[J]. IEEE Transaction on Communications, 1992, 40(5):873884. [6] Caire G, Taricco G, Biglieri E. Bitinterleaved coded modulation[J]. IEEE Transaction on Information Theory, 1998, 44 (3):927946. [7] U Wachsmann ,R F H Fischer ,J Huber. Multilevel codes : Theoretical concepts and practical design rules [J ] . IEEE Trans. Inform. Theory ,July 1999 ,45(5) :1361 1391. [8] Brink S, Speidel J, Yan R. Iterative demapping and decoding for multilevel modulation[C]. Proc. GLOBECOM 1998, pp:579–584. [9] Chindapol A, Ritcey J A. Design, analysis and performance evaluation for BICMID with square QAM constellation in Rayleigh fading channels. IEEE Journal on Selected Areas in Communications, 2022, 19(5):944957. [10] , and . Minimal nonorthogonality rate one space time block code for 3+ Tx antennas. IEEE International Symosium on Spead Spectrum Techiniques and Applications,sept,2022 ,. [11] . Leyered spacetime block codes. [12] SaeYoung Chung, Member, IEEE, G. David Forney, Jr., Fellow, IEEE, Thomas J. Richardson, and R252。diger Urbanke. “On the Design of LowDensity ParityCheck Codes within dB of the Shannon Limit”. IEEE COMMUNICATIONS LETTERS, VOL. 5, NO. 2, FEBRUARY 2022 [13] , , and . Analysis of sumproduct decoding of Lowdencity paritycheck codes using a Gassian approximation. IEEE , 47(3),Feb,2022 [14] Rainer Storn and Kenh Price. “Differential EvolutionAsimple and efficient adaptive scheme for global optimization over continuous spaces”. March 1995. 04/1/2022 謝 謝