We estimate discrete Fourier transform, ambiguity, and Hamming-autocorrelation of m-ary sequences in terms of their (periodic) correlation measure of order 4. Roughly speaking, we show that every pseudorandom sequence, that is, any sequence with small correlation measure up to a sufficiently large order, cannot have a large discrete Fourier transform, ambiguity, or Hamming-autocorrelation. Conv...

Similarity of religious beliefs and practices among friends, or network-religion autocorrelation, is a common aspect of many social networks. Network-religion autocorrelation is important because it strengthens plausibility structures (Berger 1967), or the combination of beliefs and strong social ties to others who share those beliefs. Plausibility structures support sacred umbrellas (Smith 199...

We propose a new autocorrelation measure for functional time series that we term “spherical autocorrelation”. It is based on measuring the average angle between lagged pairs of after having been projected onto unit sphere. This enjoys several complimentary advantages compared to existing measures data, since it both 1) describes notion “sign” or “direction” serial dependence in series, and 2) m...

Spatial autocorrelation in species abundances indicates a lack of independence between sample locations and causes problems in distribution modelling. Knowing the cause of such spatial autocorrelation is vital for selecting the best suited modelling methods. Most autocorrelation in distributions is caused by autocorrelation in the underlying environmental conditions. The aim of the study was to...

Processing of the speech signal in the autocorrelation domain in the context of robust feature extraction is based on the following two properties: 1) pole preserving property (the poles of a given (original) signal are preserved in its autocorrelation function), and 2) noise separation property (the autocorrelation function of a noise signal is confined to lower lags, while the speech signal c...

warp and weft spacing and its coefficient of variation affect the physical properties of fabrics such as fabric hand, frictional and mechanical properties. in this paper the weft and warp spacing and its coefficient of variation for plain weave is calculated using fourier transforms. different methods have been used in this work including autocorrelation function. first, two dimensional power s...