利用带限信号的部分时域和频域信息恢复离散信号

Discrete Signal Reconstruction with partial information of the Band-limited Signal

本文提出了离散情况下利用带限信号的部分时域信息和部分频域信息而不知道频带进行信号恢复的问题,分析了进行信号重构时解的可能性,给出了最小二乘解法,并且在有多个解的情况下,给出了最小能量准则,以此为基础确定了最小能量解,并且给出了最小能量解的解析形式.仿真结果表明本文提出的方法是行之有效的。

In this paper, it is presented that the band-limited signal will be reconstructed with its partialinformation on both time and frequency-comain while its band is unknown. The probability of solution is ana-lyzed while the signal recovery is going on, and the MSE method is given Moreover under the ease of many solu-tions, the minimum energy gauge is presented, and the solution of minimum energy is defined.