Scaling Theorems for Zero Crossings
نویسندگان
چکیده
منابع مشابه
Zero Crossings
In this essay, we presuppose basic knowledge of stochastic processes [1]. Let {Xt : t ≥ 0} be a zero mean, unit variance, stationary Gaussian process with twice differentiable correlation function r(|s − t|) = Cov(Xs,Xt). We wish to study the distribution of lengths of intervals between zeroes of Xt. There are two cases: the first in which r(τ) is analytic (implying differentiability up to all ...
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We present a method for recovering (to within a constant factor) periodic , octave band-limited signals given the times of the zero-crossings. Recovery involves taking the singular-value decomposition of a size N2M matrix, where N is the number of zero-crossings within one period and M is product of the octave bandwidth and the period length. We also discuss approximate approaches which can be ...
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In the computational theory of human vision, developed by D. Marr and his school, zero-crossings detection is proposed as one of the first stages of human visual information processing. The justif ication of this theory reguires that the zero crossings are rich in information about the original image. In a paper, T. Poggio, H.K. Nishihara and K.R.K. Nielsen stated that a successful extension of...
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ژورنال
عنوان ژورنال: IEEE Transactions on Pattern Analysis and Machine Intelligence
سال: 1986
ISSN: 0162-8828,2160-9292
DOI: 10.1109/tpami.1986.4767748