We consider a zero mean discrete time series, and define its discrete Fourier transform at the canonical frequencies. It is well known that the discrete Fourier transform is asymptotically uncorrelated at the canonical frequencies if and if only the time series is second order stationary. Exploiting this important property, we construct a Portmanteau type test statistic for testing stationarity...

The spectral analysis of uniform or nonuniform sampling signal is one of the hot topics in digital signal processing community. Theories and applications of uniformly and nonuniformly sampled one-dimensional or two-dimensional signals in the traditional Fourier domain have been well studied. But so far, none of the research papers focusing on the spectral analysis of sampled signals in the line...

We consider a zero mean discrete time series, and define its discrete Fourier transform at the canonical frequencies. It can be shown that the discrete Fourier transform is asymptotically uncorrelated at the canonical frequencies if and if only the time series is second order stationary. Exploiting this important property, we construct a Portmanteau type test statistic for testing stationarity ...

Principal Component Analysis (PCA) and Linear Discriminant Analysis (LDA) are well known techniques for face recognition. Both PCA and LDA by themselves have good recognition rates. We propose Canonical Correlation Analysis (CCA) for combining two feature extractors to improve the performance of the system, by obtaining the advantages of both. CCA finds the transformation for each extractor dat...

During recent decades, double random phase encoding grasped more attention for researchers. To achieve nonlinearity, it had been done with S-Box. We exhibit this involvement that DRPE system is much vulnerable in the above methodology. Concatenating anything needs an imaginary value, wherein S-Box unsuccessful it. Used has reformed into various sizes. Due to scenario, values are replicating. So...

Quaternion Fourier transform (QFT) has gained significant attention in recent years due to its effectiveness analyzing multi-dimensional signals and images. This article introduces two-dimensional (2D) right-sided quaternion offset linear canonical (QOLCT), which is the most general form of QFT with additional free parameters. We explore properties 2D QOLCT, including inversion Parseval formula...

The short-time linear canonical transform (STLCT) is a novel time-frequency analysis tool. In this paper, we generalize some different uncertainty principles for the STLCT of complex signals. Firstly, new principle signals in time and frequency domains explored. Secondly, an two obtained. They show that lower bounds are related to covariance can be achieved by chirp with Gaussian Then condition...