is a branch of algebra, concerning linear nature of objects: vector or vector spaces, linear transformations, systems of linear equations, quadratic and bi-linear forms, among the main tools used in linear algebra is the determinants of the matrix pair. The theory of invariants and tensor calculus is usually considered as integral parts of linear algebra.
Questions tagged [linear-algebra]
142 questions
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How to estimate the poles of a linear combination of exponentials?
Consider a signal that can be expressed as a linear combinations of exponentials:
$x(n) = \sum_{k=1}^K c_k z_k^n$
I would like to estimate the poles $z_k$ and I was told that I could estimate them by calculating the SVD of the Hankel matrix of the…
lucasn
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Finding a good inverse for an ill-conditioned matrix transformation
I have a time-series observation dataset that has been distorted. I want to recover the best approximation of the original signal as possible. Disclaimer:: I know only the basics of linear algebra, so please bear with me.
I have a good model of the…
Justin G
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Using Linear Algebra for DSP
I am new to DSP in general, but can one use linear algebra by itself to characterize a signal?
My first idea was to transform the signal into a matrix and then use the determinate to characteristic the signal. The big problem being that matrices…
Cabbage Champion
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Looking for integral-free DSP textbooks
I am looking for a treatment of fundamental DSP theory where only discrete/finite signal models are used. To make a concrete example, every time standard textbooks write a convolution as a continuous integral, I would like to see instead a product…
Arrigo
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0
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Tikhonov Regularization Alternate Formulation
2.2 Tikhonov Reqularization
Tikhonov regularization, named for Russian mathematician Andrey Tikhonov, attempts to fix the issue that arises when the least squares method is used with an ill-posed inverse problem by adding an additional constraint…
Sukuya
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Improvement of Minimum description length (MDL) estimate
I earnestly request apology if this question is inappropriate for the forum. The question has two parts one technical and the other is not technical. I would appreciate any response.
Let me consider a specific use of MDL: model order estimation. For…
Creator
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