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J.-D. Fournier, G. Mantica, A. Mezincescu and D. Bessis, “Statistical Properties of the Zeros of the Transfer Functions in Signal Processing,” In: D. Benest and C. Froeschle, Eds., Chaos and Diffusion in Hamiltonian Systems, Editions Frontières, Paris, 1995.

has been cited by the following article:

• TITLE: Enhanced Frequency Resolution in Data Analysis

  AUTHORS: Luca Perotti, Daniel Vrinceanu, Daniel Bessis

  KEYWORDS: Frequency Resolution; Z-Transform; Padé Approximations

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.3, September 5, 2013

  ABSTRACT: We present a numerical study of the resolution power of Padé Approximations to the Z-transform, compared to the Fourier transform. As signals are represented as isolated poles of the Padé Approximant to the Z-transform, resolution depends on the relative position of signal poles in the complex plane i.e. not only the difference in frequency (separation in angular position) but also the difference in the decay constant (separation in radial position) contributes to the resolution. The frequency resolution increase reported by other authors is therefore an upper limit: in the case of signals with different decay rates frequency resolution can be further increased.