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H. Olkkonen and J. T. Olkkonen, “Measurement and Reconstruction of Transient Signals by Parallel Exponential Filters,” IEEE Transactions on. Circuits and Systems II, Vol. 57, No. 6, 2010, pp. 426-429. doi:10.1109/TCSII.2010.2048375

has been cited by the following article:

• TITLE: Log-Time Sampling of Signals: Zeta Transform

  AUTHORS: Hannu Olkkonen, Juuso T. Olkkonen

  KEYWORDS: Sampling, Z-Transform, Zeta Function

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.1 No.2, July 5, 2011

  ABSTRACT: We introduce a general framework for the log-time sampling of continuous-time signals. We define the zeta transform based on the log-time sampling scheme, where the signal x(t)is sampled at time instants tn=Tlogn,n=1,2,....The zeta transform of the log-time sampled signals can be described by a linear combination of Riemann zeta function, which firmly joins the log-time sampling process to the number theory. The instantaneous sampling frequency of the log-sampled signal equals fn=n/T,n=1,2,..., i.e. it increases linearly with the sampling number. We describe the properties of the log-sampled signals and discuss several applications in nonuniform sampling schemes.