A constant-amplitude random function generator

A statistical test to discern random from constant amplitude harmonics

Periodogram is an important tool to reveal hidden periodicities in a given time series but does not tell whether the resulting spectral lines are associated with constant or random amplitude harmonics. Applications dealing with random amplitude models include Doppler spread targets and detection in the presence of fading. We propose to estimate the variance of the harmonic amplitude and then ma...

Distinction between polynomial phase signals with constant amplitude and random amplitude

In this paper we propose to distinguish between constant amplitude polynomial phase signals and the ones having random amplitude. We study four possibilities for the modulating process. We show that the distinction of this kind of signals is not always possible when using the Polynomial Phase Transform. In fact, in some applications, we show that we cannot estimate the phase of the signal with ...

A Constant Clustering Amplitude for Faint Galaxies?

The angular clustering of faint field galaxies is investigated using deep imaging (I ∼ 25) obtained with the 10-m Keck–I telescope. The autocorrelation function is consistent with ω(θ) ∝ θ and, although less steep correlation functions cannot be ruled out with high confidence, we find no compelling evidence for a systematic decrease in the power law index at the faintest magnitude limits. Resul...

A Perfect Random Number Generator

A Directed Random Paragraph Generator