Total Least Squares Phase Retrieval

We address the phase retrieval problem with errors in sensing vectors. A number of recent methods for are based on least squares (LS) formulations which assume quadratic measurements. extend this approach to handle vectors by adopting total (TLS) framework that is used linear inverse problems operator errors. show how gradient descent and specific geometry can be obtain a simple efficient TLS solution. Additionally, we derive gradients LS solutions respect measurements enables us calculate solution By analyzing these error expressions determine conditions under each method should outperform other. run simulations demonstrate our lead more accurate solutions. further effectiveness performing experiments real optical hardware naturally contains both vector measurement