# Questions tagged [cross-correlation]

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### Instantaneous frequency, PLLs, frequency mixing, cross-correlation and the cross-correlation matrix

This is as much a request for comment and critique as anything else. I am looking at tracking how a system perturbs an input that is a (real) sinoid of varying frequency. ...
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### Cross Correlation of output with input is equivalent to impulse response of a large bandwidth input (LTI System)?

What is the practical way to found the impulse response of a system ? As impulse function has a very large amplitude at zero time (analog signal). So the cross corelation of output of a large ...
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For the design of an error correcting code, I might wish to maximize the distance between the codewords $\sum a_i \oplus b_i$. For spreading sequences I'd like to minimize the cross-correlation at $t=... 1answer 247 views ### Strong (0,0) pixel among an otherwise normal cross correlation peak I am working on an imagery registration problem via cross-correlation and am seeing a weird phenomena sometimes. First, I am pre-processing each image by subtracting the mean image brightness from ... 1answer 63 views ### Phase lag changes cross spectrum I have a same noise passing through two different ARMA filter. The autospectrum of first filter is given by S11=G1*G1*S_in where S_in is input spectrum created by set of random numbers. Similarly the ... 2answers 4k views ### How to compare and measure the similarity between two between two signals? I'm working on different sensors data, the question is this: I have two signals (coming from two different sensors measuring two different phisical charactheristcs of the same "object"). I know for a ... 1answer 158 views ### Why the spectral coherence is unity for all frequencies between single-frequency time series and itself In the example below, I am plotting the coherence between time series and itself. The time series do has one frequency.The coherence magnitude was one for all frequencies. I wonder why it is not zero ... 2answers 234 views ### Cross-correlation of filtered random processes I have a wide-sense-stationary (WSS) process$\{x(t)\}$and two linear filters with impulse functions$h_1$and$h_2$. Let$\delta(\omega)$be the power spectrum of$\{x(t)\}$and$$H_1:\omega\... 2answers 46 views ### Detecting multi-path propagation when one acoustic signal is dominant I am sending an acoustic signal from a source to a receiver where there are limited number of paths the signal can travel. I want to detect if there has been multipath propagation or not when one path ... 1answer 365 views ### Faster Algorithm to convolve/correlate two sparse 1-D signals in python (or any language) I have two signals which I need to correlate or convolve. Each signal is sampled non-uniformly and the values of the signal I have with me are the timestamp and the magnitude of the signal at that ... 0answers 23 views ### match a pattern in a stream of bits I feel my question is somewhat related to this, but I'm not sure how to do what I want. I get transmissions of ~1000 bits at a time, which may be corrupted by noise. To try and infer data from ... 1answer 125 views ### Correlation between frequency and initial phase estimates using FFT Why is there a high negative correlation between frequency estimation errors and initial phase estimation errors when measured using FFT? I have a simple code showing this negative correlation. is ... 0answers 77 views ### Finding recorded sub-signal in the original audio signal I have the original record of a song, and some fragment of the same song recorded by a microphone. I need to find the time where the fragment is appearing in the original. I have tried to use cross-... 1answer 85 views ### How to group similar patterns together that are shifted along the x axis? I have a set of time series plots that are shifted along the x-axis. I am looking for an algorithm using which I can group them together. My end goal is to average them. While reviewing the ... 1answer 201 views ### Correlation of independent random processes Suppose$X(t)$and$Y(t)$be two independent random processes. Is$E(X(t_1)Y(t_2))$necessarily zero? 1answer 463 views ### Maximum cross-correlation coefficient value for time delay estimation I am using cross-correlation for time delay estimation of two synchronized recordings ($x_1$and$x_2$) of a fixed sound source from two different locations. I understand that the delay is associated ... 0answers 422 views ### Cross Correlation as Noise Reduction, is this possible? If I have two sensor measuring the same signal but from two different locations from the source, and I get two different readings of the signal, each with slightly different noise. Is there a way to ... 1answer 210 views ### Cross Correlation dimensions I have been trying to do the cross correlation of two signals, and I am expecting the output to have the same dimensions as the two signals have. However what I am seeing is that the cross correlation ... 0answers 25 views ### DOA estimation of moving, radiating source in the near-field with nonuniform Doppler shifting I am trying to estimate the DOA of a radiating source using two passive sensors. In the case of a stationary source, I find the lag$k$of the maximum in the sample cross-covariance sequence$E \...
For two real valued signals $f$ and $g$ with their corresponding power spectral densities $|F(k)|^2$ and $|G(k)|^2$ Is there a way to get an intuition of how correlated $f$ and $g$ are just by looking ...