In damage detection the number of elements is generally more than the number of measured frequencies. Consequently, the corresponding damage detection equation is undetermined and thus has infinite solutions. Since in the damaged structures most of their elements remain healthy, the sparsest solution for the damage detection equation is mostly the actual damage. In the proposed method, the dama...

The cycle basis of a graph arises in a wide range of engineering problems and has a variety of applications. Minimal and optimal cycle bases reduce the time and memory required for most of such applications. One of the important applications of cycle basis in civil engineering is its use in the force method to frame analysis to generate sparse flexibility matrices, which is needed for optimal a...

and the inverse Fourier transform is f (x) = 1 2π ∫ ∞ −∞ F(ω)e dω Recall that i = √−1 and eiθ = cos θ+ i sin θ. Think of it as a transformation into a different set of basis functions. The Fourier transform uses complex exponentials (sinusoids) of various frequencies as its basis functions. (Other transforms, such as Z, Laplace, Cosine, Wavelet, and Hartley, use different basis functions). A Fo...

In this paper we decompose the Hilbert Spectrum of an audio mixture into a number of subspaces to segregate the sources. Empirical mode decomposition (EMD) together with Hilbert transform produces Hilbert spectrum (HS), which is a fineresolution time-frequency representation of a non-stationary signal. EMD decomposes the mixture signal into some intrinsic oscillatory modes called intrinsic mode...

the improvement in the temporal resolution of seismic data is a critical issue in hydrocarbonexploration. it is important for obtaining more detailed structural and stratigraphic information. manymethods have been introduced to improve the vertical resolution of reflection seismic data. eachmethod has advantages and disadvantages which are due to the assumptions and theories governingtheir issu...

In this paper, we propose a new feature selection scheme that can contribute to an ICA-based feature extraction block for speech recognition. The initial set of speech basis functions obtained in independent component analysis training phase, has some redundancies. Thus, finding a minimal-size optimal subset of these basis functions is rather vital. On the contrary to the previous works that us...

In this paper a novel technique is proposed for the estimation of resonant frequency of coaxial feed equilateral triangular microstrip patch antenna. The major advantage of the proposed approach is that, after proper training, proposed neural model completely bypasses the repeated use of complex i terative process for calculation of resonant frequency, thus resulting in an extremely fast soluti...

Spectral decomposition is a powerful analysis tool used to identify the frequency content of seismic data. Many spectral decomposition techniques have been developed, each with their own advantages and disadvantages. The basis pursuit technique produces a high time frequency resolution map through formulating the problem as an inversion scheme. This techniques differs from conventional spectral...