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12 views

how to find the dependence between two sparse signals?

Hi and thank you for your help. I am new to signal processing and would really appreciate your help. happy to provide more context/details. In my research, I have a system that has many sensors ...
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0answers
41 views

Mutual Information as a general Similarity Metric

What is the most general similarity metric between 2 (or more) variables? For example, using the correlation coefficient assumes there is a linear relationship between the two variables. Using ...
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1answer
175 views

If MFCC vectors are speaker independent, then how can we reconstruct unique speech signals from them?

Reconstructing a speech signal from a collection of MFCC vectors seems to work pretty well, but I've heard that one advantage of MFCCs is speaker-independence i.e. they are more-or-less the same ...
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1answer
48 views

Difference between 'spatially' and 'instantaneously' independent

For a multivariate time series $$\underline{y}(t)=[y_1(t) \dots y_n(t)]^T$$ What is the difference between the components $y_i(t)$ being spatially independent and instantaneously independent?
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1answer
3k views

How can I calculate the Expectation for a particular known vector?

Let's say I have a row vector $X = [x1, x2, x3, ..., xn]$ and another row vector $Y = [y1, y2, y3, ..., yn]$. I want to check whether the two vectors are statistically independent or not. Now two ...
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4answers
3k views

ICA - Statistical Independence & Eigenvalues of Covariance Matrix

I am currently creating different signals using Matlab, mixing them by multiplying them by a mixing matrix A, and then trying to get back the original signals using FastICA. So far, the recovered ...
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2answers
3k views

Examples of Independent and uncorrelated data in real-life, and ways to measure/detect them

We always hear about this vector of data VS this other vector of data being independent from each other, or uncorrelated, etc, and while it is easy to come across the math regarding those two ...