CAJ | 학술논문

提出了基于Gerschgorin圆盘理论的宽带频谱感知算法：Gerschgorin似然估计算法和Gerschgorin圆盘半径迭代算法。通过在宽带频谱感知中引入 Gerschgorin 圆盘理论，将认知无线电用户频谱观测数据中噪声圆盘空间和信号圆盘空间进行分离，并基于对主用户所占用子频段集合势的估计，实现对宽带授权频谱中多个子频段状态的监测。为了进一步提高感知性能，还提出利用宽带频谱中主用户信号占用子频段的连续性特性改善算法性能。理论推导和仿真结果表明，在信噪比较小时，Gerschgorin似然估计算法较基于信息论准则的宽带感知算法具有更稳定的检测性能；Gerschgorin圆盘半径迭代算法与传统能量检测方法相比，优势在于不依赖任何噪声功率先验信息，且在采样次数较少情况下的感知错误率较小。因此，基于Gerschgorin圆盘理论的频谱感知更适合于实际CR系统，可为宽带频谱感知提供行之有效的算法实施方案。
제출료기우Gerschgorin원반이론적관대빈보감지산법：Gerschgorin사연고계산법화Gerschgorin원반반경질대산법。통과재관대빈보감지중인입 Gerschgorin 원반이론，장인지무선전용호빈보관측수거중조성원반공간화신호원반공간진행분리，병기우대주용호소점용자빈단집합세적고계，실현대관대수권빈보중다개자빈단상태적감측。위료진일보제고감지성능，환제출이용관대빈보중주용호신호점용자빈단적련속성특성개선산법성능。이론추도화방진결과표명，재신조비교소시，Gerschgorin사연고계산법교기우신식론준칙적관대감지산법구유경은정적검측성능；Gerschgorin원반반경질대산법여전통능량검측방법상비，우세재우불의뢰임하조성공솔선험신식，차재채양차수교소정황하적감지착오솔교소。인차，기우Gerschgorin원반이론적빈보감지경괄합우실제CR계통，가위관대빈보감지제공행지유효적산법실시방안。
Gerschgorin disk theorem (GDT) based wideband spectrum sensing methods, namely Gerschgorin likelihood estimate(GLE) algorithm and Gerschgorin disk radii iteration(GDRI) algorithm, were proposed for cognitive radios. By means of exploring the possibility of utilizing GDT in wideband spectrum sensing, the occupied and the idle licensed subbands was distingwished by respectively identifying the cardinalities of the corresponding subband sets. With an aim to strengthen the performance of GLE and GDRI, a subband continuity based wideband sensing algorithm was further proposed. Simulation results show that GLE sensing performance remains consistent when the SNR is low, whereas GDRI requires no a priori knowledge of the noise power and the PU signal and it overcomes the practical problem of small spectrum observation samples. With salient performance and practical feasibility, the proposed GLE and GDRI may serve as candidate wideband sensing technologies for cognitive radios.