Time-frequency distribution has received a growing utilization for analysis and interpretation of nonlinear and nonstationary processes in a variety of fields. Among them, two methods, such as, the empirical mode decomposition EMD with Hilbert transform HT which is termed as the Hilbert-Huang Transform HHT and the Hilbert spectrum based on maximal overlap discrete wavelet package transform MODW...

This paper presents 10-point and 12-point versions of the recently introduced number theoretic Hilbert (NHT) transforms. Such transforms have applications in signal processing and scrambling. Polymorphic solutions with respect to different moduli for each of the two cases have been found. The multiplicity of solutions for the same moduli increases their applicability to cryptography.

A speech signal can be viewed as a high frequency carrier signal containing the temporal fine structure (TFS) that is modulated by a low frequency envelope (ENV). A widely used method to decompose a speech signal into the TFS and ENV is the Hilbert transform. Although this method has been available for about one century and is widely applied in various kinds of speech processing tasks (e.g. spe...

We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from Z actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory.

where the integral in (1.1) should be interpreted in the principal value sense when (ax + b)(ax + d) < 0. Note that for a = 0, Ha,b,d is not a convolution operator. When a = 1, H1,b,d = H(fχ[−d,−b]) is the Hilbert transform composed with multiplication by the characteristic function of the interval [−d,−b]. When a = 0, H0,b,d is a well understood operator. In the sequel, we will concentrate our...

We obtain estimates for the distribution of values of functions Íll the weighted BMOq, spaces, BMO�(R), that let us find equivalent norms. It is also obtained that a suitable redefinition of the HilbeÍt transform is a bounded operator from these spaces into themselves. This is achieved for a certain cIass of weights w.

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Many physical systems can be adequately modelled using a second order approximation. The problem of plant identification reduces to the problem of estimating the position of a single pair of complex conjugate poles. One approach to the problem is to apply the method of least squares to the time domain data. This type of computation is best carried out in "batch" mode and applies to an entire da...

This paper describes a software based receiver post processor that corrects circularity and gain errors in coherent receivers. The receiver post processor additionally provides range gating capabilities, signal quality estimation, mixer non-linearity detection and various display functions. This paper will concentrate primarily on the identification of circularity errors by the receiver post pr...