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significance of eigen value???

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barath_87

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what is the importance of eigen values in various fields like
1)Analog design
2)communication
3)Digital Signal processing

I mean how significant can this eigen value or eigen vector can be in various fields... what help it would do if we no its value...

Thank you in advance ...
 

Dmitrij

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In my opinion, you should specify your question. In what sphere od digital signal processing (the scientific direction, to which this forum is dedicated) are you going to use eigen vectors and eigen values? The ways of application are numerous, that's why the concrete question is needed.

Nevertheless, I'll give you 2 examples:

1) Method of digital spectral analysis, cales MUSIC is based on counting eigen vectors and eigen values

2) Principal component analysis. When you want to diminish the size of attributes space, while processing data files so that the variance between the vectors remains unchanged, you use PCA. The basis vectors of the new space coincede with the eigen vecors of the data's covariance matrix, whereas the eigen values of the covariance matrix correspond to the variances of the attributes. Instead of covariance matrix, corre;lation matrix may be used as well.

With respect,

Dmitrij
 

amriths04

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1)ANALOG DESIGN:
eigen vectors could be very useful in component matching and in fabrication stages. and again it depends on the application to use it effectively in your design. wherever you have feedbacks or control systems these theories could be used(only if needed).

2)COMMUNICATION:
used a lot in digital communication codes..

3)DSP:
lots here too. one example is that it is used in covariance matrices..

you can google out to find more..

eigen vector is just a tool and can be applied to any field(just like math)..
 

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