observationProjection

Build a vertical projection for an arbitrary observation grid.

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Declaration

 projection = observationProjection(self,observation,options)

Parameters

• self InternalModesBasis instance
• observation observation depths or explicit observation matrix
• options.component "F" or "G"
• options.nModes number of candidate modes
• options.weights observation weights
• options.rankTolerance relative QR pivot tolerance
• options.maxConditionNumber retained Gram condition-number limit

Returns

• projection InternalModesProjection for the observation operator

Discussion

The observation problem uses the sampled matrix \(B=H\Phi\), where \(H\) is either a point-sampling grid or an explicit observation operator and \(\Phi\) is the inverse mode matrix. Rank-revealing QR selects a resolvable, possibly non-contiguous set of modes.