标题： 超越阈值处理：确定性参数估计的分析与改进 显示英文标题

标题： Beyond Thresholding: Analysis and Improvements for Deterministic Parameter Estimation

摘要： 硬阈值估计器在信号处理应用中很受欢迎。我们详细研究了在观测值受到加性白高斯噪声污染时，使用硬阈值估计器估计未知确定性信号的问题。该分析高度依赖于克拉默-拉奥下界，激励了分段线性估计作为一种对硬阈值处理的简单改进方法。我们将两种分段线性估计器的性能与硬阈值估计器进行了比较。当这两种分段线性估计器中的任一种针对基系数的衰减速率进行优化时，其性能优于硬阈值处理所能达到的最佳效果。 显示英文摘要

摘要： Hard-threshold estimators are popular in signal processing applications. We provide a detailed study of using hard-threshold estimators for estimating an unknown deterministic signal when additive white Gaussian noise corrupts observations. The analysis, depending heavily on Cram{\'e}r-Rao bounds, motivates piecewise-linear estimation as a simple improvement to hard thresholding. We compare the performance of two piecewise-linear estimators to a hard-threshold estimator. When either piecewise-linear estimator is optimized for the decay rate of the basis coefficients, its performance is better than the best possible with hard thresholding.