The asymptotic covariance matrix of the empirical cepstrum is analyzed. We show that for Gaussian processes, cepstral coefficients derived from smoothed periodograms are asymptotically uncorrelated and their variances multiplied by the sample size T tend to unity. For an autoregressive process and its autoregressive cepstrum estimate, somewhat weaker results hold.

One of the necessary and useful image features in recognizing the images successfully is scale invariance. In this paper, we analyzed the effect of scaling on angular radial transform and polar harmonic transforms by computing deviation in each transform coefficient of scaled image and the original image at the same coefficient. These transforms help in extracting the features of an image which...

Suppose that {Xjk, j = 1, · · · , p1; k = 1, · · · , n} are independent and identically distributed (i.i.d) real random variables with EX11 = 0 and EX 2 11 = 1, and that {Yjk, j = 1, · · · , p2; k = 1, · · · , n} are i.i.d real random variables with EY11 = 0 and EY 2 11 = 1, and that {Xjk, j = 1, · · · , p1; k = 1, · · · , n} are independent of {Yjk, j = 1, · · · , p2; k = 1, · · · , n}. This p...

Rotationally invariant transforms, namely, angular radial transform and polar harmonic transforms such as polar cosine transform, polar sine transform and polar complex exponential transforms, are used to characterize image features for a number of applications like logo recognition, face recognition etc. But the computation of features using these transforms is an expensive process due to thei...

Peptides are of great therapeutic potential as vaccines and drugs. Knowledge of physicochemical descriptors, including the partition coefficient P (commonly expressed in logarithm form: logP), is useful for screening out unsuitable molecules and also for the development of predictive Quantitative Structure-Activity Relationships (QSARs). In this paper we develop a new approach to the prediction...

estimation of seepage from water channels are necessary in evaluating water productivity in agricultural sector as affected by floodwater spreading on plains and artificial recharge of groundwater. several empirical seepage equations have been developed for this purpose. previous research results in iran have shown lots of variation in the coefficients and the empirical equations change in diff...