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. 2026 Jan 26;26(3):811. doi: 10.3390/s26030811
δ The differential opening of secondary flow valves
Xb X coordinates of pressure tap
Lc Coanda wall chord length
Yb Y coordinates of pressure tap
Ys Twice the length of the nozzle trailing edge
Pi Pressure measured by the pressure sensor
Ps Surface static pressure
Pa Atmospheric pressure
Cp Pressure coefficients
N Number of snapshots
M Number of wall locations for pressure measurement
Pijfull Wall pressure value measured at the j-th sensor location in the i-th snapshot
p¯j Mean pressure vector
P Centered snapshot matrix
U , V Orthonormal matrix obtained from singular value decomposition
r Rank of the centered snapshot matrix P
Σ Diagonal matrix containing singular values
σr Element of matrix Σ
Φ Matrix of spatial POD modes
ϕr Individual POD modes
Afull Matrix of temporal coefficients corresponding to full POD modes
m Number of retained dominant POD modes
Φm Reduced modal basis composed of the first m dominant POD modes
Amfull Matrix of temporal coefficients corresponding to the reduced modal basis
Pifull Instantaneous wall pressure vector
aifull Vector of modal coefficients for the i-th snapshot
K Number of finite sensor locations
S Sampling matrix
Pik Sparse measurement vector corresponding to the i-th snapshot
yi Defined vector, equal to PikSPifull
Θ Matrix defined as SΦm
aik Modal coefficients in the compressed sensing framework
P^ifull Reconstructed full-field wall pressure vector
x Sensor layout
f(x) Normalized error index, represents local max error
g(x) Normalized error index, represents global mean error
m(x,i) Normalized mean error over all measurement points (for the i-th snapshot under given sensor layout x)
h(x,i) Normalized maximum error over all measurement points (for the i-th snapshot under given sensor layout x)
G Global maximum absolute pressure from the reference dataset
C^p Reconstructed pressure coefficients
ΔCp Reconstruction pressure coefficient error