The Hartley transform, a real-valued alternative to the complex Fourier transform, is presented as an efficient tool for the analysis and simulation of earthquake accelerograms. This paper is introduced a novel method based on discrete Hartley transform (DHT) and radial basis function (RBF) neural network for generation of artificial earthquake accelerograms from specific target spectrums. Acce...

This work gives a polynomial time algorithm for learning decision trees with respect to the uniform distribution. (This algorithm uses membership queries.) The decision tree model that is considered is an extension of the traditional boolean decision tree model that allows linear operations in each node (i.e., summation of a subset of the input variables over GF(2)). This paper shows how to lea...

Since its introduction by Valiant in 1984, PAC learning of DNF expressions remains one of the central problems in learning theory. We consider this problem in the setting where the underlying distribution is uniform, or more generally, a product distribution. Kalai, Samorodnitsky, and Teng (2009b) showed that in this setting a DNF expression can be efficiently approximated from its “heavy” low-...

The Doppler spectrum estimation of a weather radar signal in a classic way can be made by two methods, temporal one based in the autocorrelation of the successful signals, whereas the other one uses the estimation of the power spectral density PSD by using Fourier transforms. We introduces a new tool of signal processing based on Ramanujan sums cq(n), adapted to the analysis of arithmetical seq...

Harmonic selection is a useful mechanism for speech enhancement. However, there is difficulty in detecting harmonic structure in the spectrum in the presence of noise or interfering speech. In this paper we address the problem of applying the reassignment method to produce a higher-resolution spectrum for improving the harmonic selection. The reassignment method is to assign the value of the sp...

ii 5.2 Periodogram with Rectangular window…………………………………….26 6. SIMULATION RESULTS AND ANALYSIS……………….………………………………………….27 6.1 WINNER phase II model…………………………………………………………….27 6.2 Simulation of the channel estimation of the WINNER II channel model, Slepian basis expansion and Fourier basis expansion…….32 6.2.1 Simulations of the channel estimation of the WINNER II model and the Slepian basis expan...

Continuous four hours EEG (electroencephalogram) recordings and its power spectrum analysis using fast fourier transform (FFT) in urethane anesthetized male Charles Foster rats were performed in two groups: open brain injury and p-CPA (para-Chlorophenylalanine) pretreated before brain injury, respectively, and compared with the EEG power spectrum of control rats. The EEG power spectrum analysis...

The direct Fast Fourier Transform method is very attractive for its simplicity and speed in generating multidimensional random fields. This thesis describes an efficient FFT method for generating multivariate multidimensional random fields based on the alternative spectral representation. Generation of a multivariate random field is simplified by the use of the spectral factorization function. ...