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DCT - two simple conceptual questions

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sharanbr

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DCT

Hi,

I am new to signal processing and currently trying to understand the DCT concept.

There are mainly 2 conceptual questions I have:

1) the dct equation is given as:

Xk = summation (xn cos ....)

Which can be expanded as:
x0 = x0 cos (0) + x1 cos (..) + x2 ...

Similarly x0

Here

a) what really is the effect of multiplying a value in time domain (x0 above) with a cosine function.

b) a single transformed value for example x0, x1 transforms are really dependent on all the values in time domain. Is this correct?

2) It is mentioned that DCT does the job of segregating the frequency components.
For example, high frequency components can be easily differentiated from low frequency components.
I am not really able to understand what is meant by high frequency components and low frequency components. For example, if I take a single digital value in an image, how can one corelate it high frequency or low frequency?

Can someone clarify?

Regards,
 

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