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Showing papers by "Kenneth Steiglitz published in 1963"


01 May 1963
TL;DR: In this article, the filtering theories for both continuous-time and discrete-time signals are formulated in terms of abstract Hilbert space, with the notion of a stable filter defined as a bounded linear operator.
Abstract: : The filtering theories for both continuous-time and discrete-time signals are formulated in terms of abstract Hilbert space, with the notion of a stable filter defined as a bounded linear operator A specific isomorphism is then constructed which connects the filtering theories for continuous-time and discrete-time signals, and in the linear time-invariant case the two theories are shown to be essentially identical This means that many optimization problems can be solved simultaneously for continuoustime and digital systems The isomorphism developed above is used to reduce the approximation problem for digital filters to that for continuous-time filters The problem of estimating the power-spectral-density of a signal from equally spaced samples is discussed It is shown that bandpass digital filters generate a class of spectral windows which produce always positive estimates of the power-spectral-density The optimum bandwidth and shape of such a filter are then derived A method for identifying unknown parameters in the power-spectraldensity of a digital signal is presented

5 citations


Journal ArticleDOI
TL;DR: An analysis of the interchannel crosstalk in time division multiplex systems with rectangular waveforms and a single pole transmission channel and a normalized plot of crosStalk vs system parameters for such systems is presented.
Abstract: An analysis of the interchannel crosstalk in time division multiplex systems is given. The results apply to systems with a general linear transmission channel and with arbitrary sampling waveforms. The general result is obtained in closed form. This is then applied to the particular case of multiplexing with rectangular waveforms and a single pole transmission channel. A normalized plot of crosstalk vs system parameters for such systems is presented.

2 citations