CAJ | 학술논문

针对超宽带信号在采样速率过高时难以采样的问题,利用信号稀疏性提出一种基于压缩感知的信道估计和信号检测算法(CS算法).将信号重复送入随机滤波器后发送,对接收信号进行欠采样,利用调制信号、滤波器、信道的圆周卷积关系建立压缩感知的数学模型,从而可采用基追踪算法实现信道估计和信号检测.仿真结果表明,CS算法所需的采样数据量仅为最小二乘算法的1/3或更少,而在中等信噪比(15～25 dB)的情况下,估计性能可以提高约4.5 dB,且可以准确检测出原始信号.
침대초관대신호재채양속솔과고시난이채양적문제,이용신호희소성제출일충기우압축감지적신도고계화신호검측산법(CS산법).장신호중복송입수궤려파기후발송,대접수신호진행흠채양,이용조제신호、려파기、신도적원주권적관계건립압축감지적수학모형,종이가채용기추종산법실현신도고계화신호검측.방진결과표명,CS산법소수적채양수거량부위최소이승산법적1/3혹경소,이재중등신조비(15～25 dB)적정황하,고계성능가이제고약4.5 dB,차가이준학검측출원시신호.
A novel algorithm (CS algorithm) for channel estimation and signal detection is proposed to resolve the problem of excessively high sampling rate of the ultra-wideband signals. The algorithm is based on the compressed sensing (CS) theory. The modulated signal is transmitted after random-filtering, and the received signal is sub-sampled. The mathematical model of CS is developed by cyclic convolution of the modulated signals, the random filter and the channel, so the basic pursuit algorithm can be utilized to perform the task of channel estimation and signal de-tection. Simulation results show that the number of the sampling data required by the proposed algorithm is only one-third or less of the number of the sampling data needed by the least squares algorithm, while the estimation performance is improved by 4.5 dB under the moderate signal-to-noise ratio (15～25 dB) condition, and that the original transmitted signals are correctly detec-ted.