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H. Olkkonen, P. Pesola, J. T. Olkkonen and H. Zhou, “Hilbert Transform Assisted Complex Wavelet Transform for Neuroelectric Signal Analysis,” Journal of Neuroscience Methods, Vol. 151, No. 2, 2006, pp. 106-113. doi:10.1016/j.jneumeth.2005.06.028

has been cited by the following article:

  • TITLE: Complex Hilbert Transform Filter

    AUTHORS: Juuso T. Olkkonen, Hannu Olkkonen

    KEYWORDS: Hilbert Transform, Analytic Signal, Fractional Delay Filters

    JOURNAL NAME: Journal of Signal and Information Processing, Vol.2 No.2, May 26, 2011

    ABSTRACT: Hilbert transform is a basic tool in constructing analytical signals for a various applications such as amplitude modulation, envelope and instantaneous frequency analysis, quadrature decoding, shift-invariant multi-rate signal processing and Hilbert-Huang decomposition. This work introduces a complex Hilbert transform (CHT) filter, where the real and imaginary parts are a Hilbert transform pair. The CHT filtered signal is analytic, i.e. its Fourier transform is zero in negative frequency range. The CHT filter is constructed by half-sample delay operators based on the B-spline transform interpolation and decimation procedure. The CHT filter has an ideal phase response and the magnitude response is maximally flat in the frequency range 0 ≤ ω ≤ π. The CHT filter has integer coefficients and the implementation in VLSI requires only summations and register shifts. We demonstrate the feasibility of the CHT filter in reconstruction of the sign modulated CMOS logic pulses in a fibre optic link.