We investigate the possible contribution from the emission of accretion flows around supermassive black holes in early type galaxies to current measurements of the Cosmic Microwave Background (CMB) at radio frequencies. We consider a range of luminosities suggested by targeted radio observations and accretion models and compute the residual contribution of these sources to the spectrum and bisp...

We introduce a new rotationally invariant viewing angle classification method for identifying, among a large number of cryo-EM projection images, similar views without prior knowledge of the molecule. Our rotationally invariant features are based on the bispectrum. Each image is denoised and compressed using steerable principal component analysis (PCA) such that rotating an image is equivalent ...

Bispectral analysis is an effective signal processing tool for investigating interactions between oscillations, and has been adapted to the continuous wavelet transform time-evolving of open systems. However, one unaddressed question bispectrum quantification bispectral content area scale-scale space. Without this, interpretation computations merely qualitative. We now overcome this limitation ...

We use the triaxial halo model formalism of Smith & Watts (2005) to investigate the impact of dark matter halo shapes on the cosmological bispectrum. Analytic expressions for the dark matter distribution are derived and subsequently evaluated through numerical integration. Two models for the ellipsoidal halo profiles are considered: a toy model designed to isolate the effects of halo shape on t...

Abstract. Cosmic shear, the distortion of images of high-redshift sources by the intervening inhomogeneous matter distribution in the Universe, has become one of the essential tools for observational cosmology, since it was first measured in 2000. Since then, several surveys have been conducted and analyzed in terms of second-order shear statistics. Current surveys are on the verge of providing...

Observations of fluctuations in the redshifted 21 cm radiation from neautral hydrogen (HI) are perceived to be an important future probe of the universe at high redshifts. Under the assimption that at redshifts z ≤ 6 (Post-Reionization Era) the HI traces the underlying dark matter with a possible bias, we investigate the possibility of using observations of redshifted 21 cm radiation to detect ...

BACKGROUND Analysis of the bispectrum of EEG waveforms is a component of the proprietary BIS index-a commonly used commercial monitor of depth of anaesthesia. Does the use of the bispectrum give more information about depth of anaesthesia than the power spectrum? METHODS We collected and analysed EEG waveforms during induction of general anaesthesia in 39 patients, comparing the changes in bi...

In this pedagogical lecture, I introduce some of the basic terminology and description of fluctuating fields as they occur on cosmology. I define various statistical, cosmological and sample homogeneity and explain what is meant by the fair sample hypothesis and cosmic variance. I illustrate these concepts using the simplest second-order statistics, i.e. the two–point correlation function and i...

We discuss the signatures of non-Gaussianity in the curvaton model where the potential includes also a non-quadratic term. In such a case the non-linearity parameter fNL can become very small, and we show that non-Gaussianity is then encoded in the non-reducible non-linearity parameter gNL of the trispectrum, which can be very large. Thus the place to look for the non-Gaussianity in the curvato...

Along with the spoken message, speech contains information about the identity of the speaker. Thus, the goal of speaker identi cation is to develop features which are unique to each speaker. This paper explores a new feature for speech and shows how it can be used for robust speaker identi cation. The results will be compared to the cepstrum feature due to its widespread use and success in spea...