A typical imaging condition for seismic reflection data involves source and receiver wavefield matching, e.g. by cross-correlation, at every image location. This statement is true no matter how the two wavefields are reconstructed, for example by one-way wavefield extrapolation, or two-way reverse-time extrapolation, or Kirchhoff integral methods. This statement is also true when the source and...

We study [2m−1, 2m]-binary linear codes whose weights lie between w0 and 2m−w0, where w0 takes the highest possible value. Primitive cyclic codes with two zeros whose dual satisfies this property actually correspond to almost bent power functions and to pairs of maximum-length sequences with preferred crosscorrelation. We prove that, for odd m, these codes are completely characterized by their ...

Sequences and arrays with good auto and cross-correlation are useful in communications and digital , .. 'atermarking respectively. Two-valued autocorrelation is relatively easy to achieve. However, sets of pSfudonoise sequences with good cross-correlation arc small and difficult to find. Here, the cross-correlation for particular shifts of m-sequences and GM\V sequences is analysed by looking a...

Consider two multi-dimensional digital signals, each with Ns samples. For some number of lags N l Ns, the cost of computing a single cross-correlation function of these two signals is proportional to Ns × N l. By exploiting several properties of Gaussian windows, we can compute Ns local cross-correlation functions, again with computational cost proportional to Ns × N l. Here, local means the cr...

We discuss the possible detection of a stochastic background of massive, nonrelativistic scalar particles, through the cross correlation of the two LIGO interferometers in the initial, enhanced and advanced configuration. If the frequency corresponding to the mass of the scalar field lies in the detector sensitivity band, and the non-relativistic branch of the spectrum gives a significant contr...

Room reverberation is typically the main obstacle for designing robust microphone-based source localization systems. The purpose of the paper is to analyze the achievable performance of acoustical source localization methods when room reverberation is present. To facilitate the analysis, we apply well known results from room acoustics to develop a simple but useful statistical model for the roo...

Although it is well known that cross correlation can be efficiently implemented in the transform domain, the normalized form of cross correlation preferred for feature matching applications does not have a simple frequency domain expression. Normalized cross correlation has been computed in the spatial domain for this reason. This short paper shows that unnormalized cross correlation can be eff...