Abstract Real-world optimization applications in complex systems always contain multiple factors to be optimized, which can formulated as multi-objective problems. These problems have been solved by many evolutionary algorithms like MOEA/D, NSGA-III, and KnEA. However, when the numbers of decision variables objectives increase, computation costs those mentioned will unaffordable. To reduce such...

—In this paper, we present a coordinate rotation digital computer (CORDIC) based fast algorithm for power-of-two point DCT, and develop its corresponding efficient VLSI implementation. The proposed algorithm has some distinguish advantages, such as regular Cooley-Tukey FFT-like data flow, identical post-scaling factor, and arithmetic-sequence rotation angles. By using the trigonometric formula,...

spectral decomposition is a powerful tool for analysis of seismic data. fourier transform determines the frequency contents of a signal. but for analysis of non-stationary signals, 1-d transform to frequency domain is not sufficient. in early years, transforming of seismic traces into time and frequency domain was done via windowed fourier transform, called a short time fourier transform (stft)...

This paper presents an approach for the development of a number theoretic discrete Hilbert transform. The forward transformation has been applied by taking the odd reciprocals that occur in the DHT matrix with respect to a power of 2. Specifically, the expression for a 16-point transform is provided and results of a few representative signals are provided. The inverse transform is the inverse o...

We introduce the Laplace transform for an arbitrary time scale. Two particular choices of time scales, namely the reals and the integers, yield the concepts of the classical Laplace transform and of the classical Z-transform. Other choices of time scales yield new concepts of our Laplace transform, which can be applied to find solutions of higher order linear dynamic equations with constant coe...

This paper presents a new interest local regions descriptors method based on Hilbert-Huang Transform. The neighborhood of the interest local region is decomposed adaptively into oscillatory components called intrinsic mode functions (IMFs). Then the Hilbert transform is applied to each component and get the phase and amplitude information. The proposed descriptors samples the phase angles infor...

Article history: Received 17 May 2011 Accepted 14 May 2012 Available online 24 May 2012