论文部分内容阅读
针对信号处理和雷达系统中常见的信号频率大于采样频率或采样频率小于奈奎斯特情况下信号多个频率成分的估计问题,提出了采用一组非互质的模数和相应的一组有误差的余数,同时重构多个任意正实数的广义稳健中国剩余定理(GRCRT),定理1首先给出了余数与重构的正实数的一一对应所需要满足的条件,定理2给出了重构正实数有唯一解的条件。将该定理用于欠采样下多个信号频率估计,仿真实例验证了余数估计有误差时同时估计多个正实数算法的稳健性和实际工程应用前景。
For signal processing and radar systems, the common signal frequency is greater than the sampling frequency or the sampling frequency is less than the case of Nyquist multiple frequency components of signal estimation, the use of a group of non-coprime modulus and the corresponding set of a The remainder of the error and the reconstruction of a number of generalized robust Chinese residual theorem (GRCRT) of a number of arbitrary positive real number, Theorem 1 first gives the conditions to be fulfilled one-to-one correspondence between the residue and the real number of reconstruction, Theorem 2 gives Reconstruction of positive real number has the only solution conditions. The theorem is used to estimate the frequency of multiple signals under undersampled. The simulation example proves the robustness and practical application prospect of simultaneous estimation of multiple positive real-number algorithms when the residuals are estimated to have errors.