A conceptually simple method for derivation of lower bounds on the error exponent of specific families of block codes used on classical-quantum channels with arbitrary signal states over a finite Hilbert space is presented. It is shown that families of binary block codes with appropriately rescaled binomial multiplicity enumerators used on binary classical-quantum channels and decoded by the su...

In this work, we introduce the notion of the error exponent region for a multi-user channel. This region specifies the set of error-exponent vectors that are simultaneously achievable by all users in the multi-user channel. This is done by associating different probabilities of error for different users, contrary to the traditional approach where a single probability of system error is consider...

We are interesting in the error exponent for source coding with fidelity criterion. For each fixed distortion level ∆, the maximum attainable error exponent at rate R, as a function of R, is called the reliability function. The minimum rate achieving the given error exponent is called the minimum achievable rate. For memoryless sources with finite alphabet, Marton (1974) gave an expression of t...

We estimated Hurst exponent of twelve stock index series from across the glove using daily values of for past ten years and found that the Hurst exponent value of the full series is around 0.50 confirming market efficiency. But the Hurst exponent value is found to vary widely when the full series is split into smaller series of 60 trading days. Later, we tried to find relationship between Hurst...

a watershed management program is usually based on the results of watershed modeling. accurate modeling results are decided by the appropriate parameters and input data. precipitation is the most important input for watershed modeling. precipitation characteristics usually exhibit significant spatial variation, even within small watersheds. therefore, properly describing the spatial variation o...

We study a hypothesis testing problem with privacy constraint over noisy channel and derive the performance of optimal tests under Neyman-Pearson criterion. The fundamental limit interest is privacy-utility tradeoff (PUT) between exponent type-II error probability leakage information source subject to constant on type-I probability. provide an exact characterization asymptotic PUT for any non-v...

The leakage of medical audio data in telemedicine seriously violates the privacy patients. In order to avoid patient information telemedicine, a two-stage reversible robust watermarking algorithm is proposed protect data. scheme decomposes into two independent embedding domains, embeds watermark and domains respectively. ensure quality, Hurst exponent used find suitable position for embedding. ...

leakage in water distribution networks causes waste of water and economical losses. in this paper a new method is presented to calculate nodal and pipes leakage in water distribution systems using capabilities of epanet2.10 software. the method estimate the total water losses in the system based on iwa methodology using minimum night flow (mnf) measurements. recognising the pressure dependency ...

The exact renormalization group is applied to a nonlinear diffusion equation with a discontinuous diffusion coefficient. The generating functional of the solution for the initial-value problem of nonlinear diffusion equations is first introduced, and next a regularization scheme is presented. It is shown that the renormalization of an action functional in the generating functional leads to an a...