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Computationally Efficient Sinusoidal Parameter Estimation From Signed Measurements: ADMM Approaches
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DOI：10.1109/LSP.2019.2949390.png)
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Abstract
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We consider the problem of sinusoidal parameter estimation from signed measurement samples. We formulate the sinusoidal parameter estimation problem as a sparse signal recovery problem and apply the alternating direction method of multipliers (ADMM) to efficiently solve it. The l(1)-norm and log-norm approximations are used to replace the l(0)-norm. We then judiciously design the detailed update steps of ADMM for the two approximations, so that most or all update steps involve computationally efficient closed-form solutions. Numerical examples are provided to demonstrate the effectiveness of our approaches.
Keywords:
Signed measurements
one-bit sampling
ADMM
sinusoidal parameter estimation
log-norm
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