研究目的
To propose a new approach for searching adaptively optimal dual frames in the process of signal reconstruction to minimize reconstruction errors when erasures occur during frame coefficient transmission.
研究成果
The proposed method of adaptively searching for optimal dual frames based on the method of optimal directions demonstrates improved reconstruction accuracy compared to existing methods, especially for random signals. Numerical experiments confirm the method's effectiveness in minimizing reconstruction errors caused by erasures.
研究不足
The approach assumes the matrix A is invertible for almost all random input signals, which may not hold in all cases, potentially limiting the method's applicability. Additionally, the method's performance is dependent on the frame's redundancy and the ratio of signal vectors to the dimension of the Hilbert space.
