A closed-form expanded autocorrelation method for real single-tone frequency estimation is proposed. Firstly, the modified covariance (MC) method based on multiple autocorrelation lags is applied to provide a coarse frequency estimate. Then, a closedform adjustment term based on a least square cost function is derived to get the fine frequency estimate. Simulation results show that the performa...

In this paper, a new construction method of quaternary sequences of even period 2N having the ideal autocorrelation and balance properties is proposed. These quaternary sequences are constructed by applying the inverse Gray mapping to binary sequences of odd period N with the ideal autocorrelation. Autocorrelation distribution of the proposed quaternary sequences is derived. These sequences can...

The paper considers calculation of autocorrelation functions on finite dyadic groups over decision diagrams. The methods exploit recursive structure of both autocorrelation matrices and decision diagrams. First, it is discussed calculation of the autocorrelation through the Wiener-Khinchin theorem implemented over decision diagrams. Then, it is proposed a method for calculation of separate auto...

The autocorrelation function of the all-pole filter given by conventional linear prediction (LP) matches exactly the autocorrelation function of the input signal between indices 0 and m, when the prediction order equals m. A recently developed technique, Weighted Sum of the Line Spectrum Pair (WLSP), yields a stable all-pole filter of order m, whose autocorrelation function coincides to that of...

In many applications (for example if the effect of an filtering of a random process is tested) a sequence of pseudorandom numbers with a prescribed autocorrelation function must be generated. In the paper a method is discussed allowing to generate sequences of pseudorandom numbers with a autocorrelation function near the autocorrelation function of the white noise after the filtering by an filt...

In this paper, we propose an improved autocorrelation function (ACF)-based water21 marking that is robust against combined geometric and removal attacks. ACF-based watermarking is known to be effective against geometric attacks. In this watermark23 ing scheme, both the embedded watermark and autocorrelation peaks of the watermark should survive a variety of attacks. However, the autocorrelation...

For a binary pseudorandom sequence {Si} with period N , the partial period autocorrelation function AS(τ, k,D) is defined by correlating the portion of the sequence within a window of size D, and start position k, with the portion in another window of the same size but starting τ steps later in the sequence. A distribution of possible partial period autocorrelation values is obtained by allowin...

Discrete autocorrelation wavelets have recently been applied in the statistical analysis of locally stationary time series. This form of time series analysis also requires the construction of the inner product matrix of such wavelets. To date, both discrete autocorrelation wavelets and the inner product matrix have been constructed via a brute force technique which proves to be computationally ...

This paper describes an algorithm, which performs monophonic music transcription. A pitch tracker calculates the fundamental frequency of the signal from the autocorrelation function. A continuity-restoration block takes the extracted pitch and determines the score corresponding to the original performance. The signal envelope analysis completes the transcription system, calculating attack-sust...

We present an extension of sparse Canonical Correlation Analysis (CCA) designed for finding multiple-tomultiple linear correlations within a single set of variables. Unlike CCA, which finds correlations between two sets of data where the rows are matched exactly but the columns represent separate sets of variables, the method proposed here, Canonical Autocorrelation Analysis (CAA), finds multiv...