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The modulated wideband converter (MWC) is a recently proposed compressive sampling system for acquiring sparse multiband signals. For the MWC with digital sub-channel separation block, channel gain mismatch and time delay will lead to a potential performance loss in reconstruction. These gains and delays are represented as an unknown multiplicative diagonal matrix here. The authors formulate the estimation problem as a convex optimisation problem, which can be efficiently solved by utilising least squares estimation. Then the calibrated system model is obtained and the estimates of the gains and time delays of physical channels from the estimate of this matrix are calculated. Numerical simulations verify the effectiveness of the proposed approach.
Inspec keywords: delay estimation; compressed sensing; matrix multiplication; signal reconstruction; signal detection; least mean squares methods; channel estimation; modulation
Other keywords: compressive sampling system; sparse multiband signal acquisition; convex optimisation problem; potential performance loss; numerical simulation; least square estimation; time delay estimation; digital subchannel separation block; channel gain mismatch; time delay calibration; MWC; unknown multiplicative diagonal matrix; modulated wideband converter; signal reconstruction; gain estimation
Subjects: Communication channel equalisation and identification; Other topics in statistics; Signal detection; Interpolation and function approximation (numerical analysis); Modulation and coding methods; Linear algebra (numerical analysis)