منابع مشابه
Augmented second-order statistics of quaternion random signals
Second order statistics of quaternion random variables and signals are revisited in order to exploit the complete second order statistical information available. The conditions for Q-proper (second order circular) random processes are presented, and to cater for the non-vanishing pseudocovariance of such processes, the use of ı-E-k-covariances is investigated. Next, the augmented statistics and...
متن کاملSecond-Order Statistics of Complex Signals - Signal Processing, IEEE Transactions on
The second-order statistical properties of complex signals are usually characterized by the covariance function. However, this is not sufficient for a complete second-order description, and it is necessary to introduce another moment called the relation function. Its properties, and especially the conditions that it must satisfy, are analyzed both for stationary and nonstationary signals. This ...
متن کاملasymptotic property of order statistics and sample quntile
چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
15 صفحه اولSecond-order statistics of natural images
Assuming adaptation of the visual cortex to its environment, we analyse the invariance found in natural images to explain the selective response of visual cortical neurons. We argue that the invariant structure of images can be formally expressed by dot-products. Utilizing the specific structure of the proposed model we show how non-linear functions can be learned efficiently from natural image...
متن کاملSecond-order Linearity of Wilcoxon Statistics *
The rank statistics Sn(t) = 1 n ∑n i=1 ciRi(t) (t ∈ R), with Ri(t) being the rank of ei−txi, i = 1, . . . , n and e1, . . . , en being the random sample from the basic distribution with the cdf F , are considered as a random process with t in the role of parameter. Under some assumptions on ci, xi and on the underlying distribution, it is proved that the process {Sn( t √n)− Sn(0)− ESn(t), |t|2 ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1997
ISSN: 1053-587X
DOI: 10.1109/78.554305