I describe a statistical model for natural photographic images, when decomposed in a multi-scale wavelet basis. In particular, I examine both the marginal and pairwise joint histograms of wavelet coefficients at adjacent spatial locations, orientations, and spatial scales. Although the histograms are highly non-Gaussian, they are nevertheless well described using fairly simple parameterized den...

In this research, we proposed testing and validating the accuracy of employing wavelet transform and Hidden Conditional Random Field (HRCF) for video based activity recognition. For feature extraction, Symlet wavelet was tested and decomposed up to 4 levels, and some of the highest coefficients were extracted from each level of decomposition. These coefficients were based on the average frequen...

We present a family of conformal field theories (or candidates for CFTs) that is build on extremal partition functions. Spectra of these theories can be decomposed into the irreducible representations of the Fischer-Griess Monster sporadic group. Interesting periodicities in the coefficients of extremal partition functions are observed and interpreted as a possible extension of Monster moonshin...

0957-4174/$ see front matter 2011 Elsevier Ltd. A doi:10.1016/j.eswa.2011.04.149 ⇑ Corresponding author. Address: Department o Engineering, Zonguldak Karaelmas University, Engine dak, Turkey. Tel.: +90 372 257 5446; fax: +90 372 25 E-mail address: [email protected] (M We introduced a multilayer perceptron neural network (MLPNN) based classification model as a diagnostic decision support ...

Multiplication is a basic operation in any signal processing application. Multiplication is the most important one among the four arithmetic operations like addition, subtraction, and division. Multipliers are usually hardware intensive, and the main parameters of concern are high speed, low cost, and less VLSI area. The propagation time and power consumption in the multiplier are always high. ...

We define a new class of functions, connected to the classical Laguerre-P\'{o}lya class, which we call shifted class. Recent work Griffin, Ono, Rolen, and Zagier shows that Riemann Xi function is in this prove being equivalent Taylor coefficients, once shifted, degree $d$ multiplier sequence for every $d$, coefficients satisfying all higher T\'{u}ran inequalities. This mirrors result P\'{o}lya ...

In the fluorescence detection system, noise will affect the sensitivity of the system. The method using Stationary Wavelet Transform to de-noise fluorescence signals based on adaptive wavelet entropy is studied. The de-noising effects of dbN families are compared, and then the db7 wavelet is chosen as the optimal wavelet. The noised fluorescence signal is decomposed at 5 levels via Discrete Wav...