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In the recent paper of Stiefel et al. (2010) there was a small error in the Appendix; in Equation (2) describing the Hilbert transform, two primes were missing. The corrected equation is reproduced here. The authors apologise for any inconvenience caused.

Formally, the Hilbert transform Hx(t) of a continuous funcation x(t) defined for inline image is the convolution of x(t) with 1/t, i.e.

  • image

where PV stands for the Cauchy prinicipal value of the integral.

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