In this paper are described the most commonly encountered algorithm for pitch detection. We restrict ourselves exclusively to monophonic sound source. Both frequency and time domain algorithm are explored. The techniques presented here are zero-crossing, autocorrelation function, average magnitude difference function, weighted autocorrelation function, harmonic product spectrum, cepstrum and th...

ARM (Auto-Regressive Modular) processes constitute a broad class of nonlinear autoregressive schemes with modulo-1 reduction and additional transformations. Unlike their TES (Transform-Expand-Sample) precursors, which only admit iid innovation sequences, ARM processes admit dependent innovation sequences as well, so long as they are independent of the initial ARM variate. As such, the class of ...

ABSTRACT We explore the clustering of galaxy groups in Galaxy and Mass Assembly (GAMA) survey to investigate dependence group bias profile on separation scale mass. Due inherent uncertainty estimating selection function, hence autocorrelation we instead measure projected galaxy–group cross-correlation function. find that has a strong mass scales $r_\bot \lesssim 1 h^{-1}$. also evidence most ma...

one of the main distinctions between geomaterials and other engineering materials is the spatial variation of their properties in different directions. this characteristic of geomaterials -so called heterogeneity- is studied herewith. several spatial distributions are introduced to describe probabilistic variation of geotechnical properties of soils. among all, the absolute normal distribution ...

A set of sequences is complementary, if the sum of their periodic or nonperiodic autocorrelation function is zero. Infinite families of orthogonal designs, based on some weighing matrices of order 2n, weight 2n− k and spread σ, are constructed from two circulants matrices by using complementary sequences of zero non-periodic autocorrelation function, i.e. ternary complementary pairs. Moreover, ...

The decay of the velocity autocorrelation function in a sheared granular flow is analyzed in the limit where the wavelength of fluctuations is larger than the "conduction length," so that energy is a nonconserved variable. The decay of the velocity autocorrelation function is much faster than that in a fluid at equilibrium for which energy is a conserved variable. Specifically, the autocorrelat...