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A simple formula for monitoring quadrature phase error with arbitrary signals

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2 Author(s)
Kulkarni, M.D. ; Dept. of Phys., Michigan Technol. Univ., Houghton, MI, USA ; Kostinski, A.B.

The authors consider the problem of monitoring quadrature receiver errors without using specifically designed test signals. A previously derived simple formula ρ=-sin φ where ρ is the cross-correlation coefficient at zero lag between the in-phase (i) and quadrature phase (q) components and φ is the receiver phase imbalance, is generalized in several ways. The generalized version, while still simple, is surprisingly robust because it applies to a wide variety of random and deterministic signals. However, it provides an estimate of φ in the case of known noise power or large SNR. The effects of the additive receiver noise are also included. The case of jointly Gaussian i and q distributions is examined further and the marginal pdf's of the amplitude and phase of the random signal in the presence of quadrature errors are derived

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Geoscience and Remote Sensing, IEEE Transactions on  (Volume:33 ,  Issue: 3 )