Fast communication: Connection between SPICE and Square-Root LASSO for sparse parameter estimation

  • Authors:
  • Prabhu Babu;Petre Stoica

  • Affiliations:
  • -;-

  • Venue:
  • Signal Processing
  • Year:
  • 2014

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Abstract

In this note we show that the sparse estimation technique named Square-Root LASSO (SR-LASSO) is connected to a previously introduced method named SPICE. More concretely we prove that the SR-LASSO with a unit weighting factor is identical to SPICE. Furthermore we show via numerical simulations that the performance of the SR-LASSO changes insignificantly when the weighting factor is varied. SPICE stands for sparse iterative covariance-based estimation and LASSO for least absolute shrinkage and selection operator.