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I am new member and I am new to the Signal processing so I hope I could get some help from the members to able to understand the concepts.

I have a Signal. I have a 10Msaples/sec ADC. I view the Signal on an Oscilloscope which has 20Gsamples/sec sampling rate.

The Point where I am struck is, I must increase the number of sample Points so that I can have more Resolution on the Oscilloscope.

I have researched and found that Numerical Approximation methods help to develop new algorithm. But I am unable to Chose which Kind fits.