# Questions tagged [correlation]

Correlation or Cross-Correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them.

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### Remove sample from audio with different amplitudes

I have a piece of audio with a sample occurring within it multiple times. I wish to remove these occurances. However, the sample has slightly different amplitudes each time. Some of the samples occur ...
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### Relation and differences between correlation sequence and correlation matrix

Suddenly I am stuck at a question while studying Statistical signal processing: What are the differences between correlation sequence and matrix (can be auto/cross), and how are the two related? When ...
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### Time domain expression of a stationary continous broadband signal and its autocorrelation

I want to find the auto-correlation of a stationary continous broadband signal. The auto-correaltion is $$f\star f=\int_{-\infty}^\infty f^*(t)f(t+\tau)\ \mathrm{d}t.\tag{*}\label{*}$$ The power ...
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### Adaptive Correlation Threshold for QPSK

A single-carrier QPSK signal passed through a fading channel is correlated in the receiver using standard complex-conj correlation with a known sequence. The received signal's amplitude fluctuates ...
1 vote
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### How to sync two similar lists/waveforms with differently populated data in python?

I have two lists of sizes L1 - 22400(865*26) and L2 - 79000 with measurements of some environmental data. Data of both the lists are measured simultaneously. The L2 is a continuous measurement for ...
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### Wrong matched filter sidelobe level for linear chirp despite (invalid ?) energy normalization

I'm trying to reproduce the -13.2 dB sidelobe level typically observed for a linear chirp pulse (cf. for instance this MATLAB documentation page: ...
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### How can I calculate the probability of detection and false alarm rate of a correlation result assuming a given SNR threshold in AWGN?

I am transmitting an LFM chirp with fixed bandwidth $B$ and sample rate $f_{s}$, containing $N$ samples. The chirp is windowed with a Kaiser window, which generally has constant $\beta$ but can vary. ...
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### Cross Correlation Peak Value of Wideband signals - The Phase and Sample Offset are related but how

Two CDMA Codes or Gold Codes or PRN Sequencies, i.e. a pattern in time, are cross correlated in the time domain. However one of them is delayed compared to the other. How is the phase argument of the ...
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### Template Matching non-rectangular template in non-linear order

Question Is there an existing algorithm that does cross correlation with two images, including a weight image? In template matching, when should I prefer the sum of absolute errors vs cross ...
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### Correlating signals in real-time when the time-delay is larger than frame-time

What are some possible approaches to address the challenge of correlating two signals when the time delay ($T_d$) from the source to the microphone is greater than the microphone's frame time ($T_f$)? ...
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### Model validation- comparing signals

Let's say I am trying to validate a model. I have a signal from measurement and a signal from the simulation of the model. Simulation was done with the same initial and boundary conditions as ...
1 vote
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### Estimate the time delay of two signals

I am having 2 sets of data data1 and data2 .I wanted to find the delay between the two datasets. Assume data1=[1 2 3 4 5 6 7 8 9 10] and data2=[0 0 0 0 1 2 3 4 5 6].From the data I know that, data2 is ...
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### Identify which of the three signals is closest to a sinusoidal curve

I have some acceleration values from a sensor. These values are reported as x, y and z components of the acceleration. As can be seen in the attached figure, it is clear that the z signal has a clear ...
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