Wirtinger Flow Meets Constant Modulus Algorithm: Revisiting Signal Recovery for Grant-Free Access
| Autor: | Zhi Ding, Carlos Feres |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Computer simulation
Computer science Noise (signal processing) Computer Science::Neural and Evolutionary Computation MathematicsofComputing_NUMERICALANALYSIS Context (language use) Stochastic gradient descent Signal Processing Convergence (routing) Astrophysics::Solar and Stellar Astrophysics Electrical and Electronic Engineering Phase retrieval Constant (mathematics) Algorithm Communication channel |
| Zdroj: | IEEE Transactions on Signal Processing. 69:6515-6529 |
| ISSN: | 1941-0476 1053-587X |
| DOI: | 10.1109/tsp.2021.3103038 |
| Popis: | In this work, we analyze the convergence of constant modulus algorithm (CMA) in blindly recovering multiple signals to facilitate grant-free wireless access. The CMA typically solves a non-convex problem by utilizing stochastic gradient descent. The iterative convergence of CMA can be affected by additive channel noise and finite number of samples, which is a problem not fully investigated previously. We point out the strong similarity between CMA and the Wirtinger Flow (WF) algorithm originally proposed for Phase retrieval. In light of the convergence proof of WF under limited data samples, we adopt the WF algorithm to implement CMA-based blind signal recovery. We generalize the convergence analysis of WF in the context of CMA-based blind signal recovery. Numerical simulation results also corroborate the analysis. |
| Databáze: | OpenAIRE |
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