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I am new to world of electronics and to high frequency Domain. But I am working on a design where I have a coax of 30cm length. I have used an external oscillator to generate 7GHz fast falling pulse. I am using a Controller to control the oscillator. Now I have a pulse of about 350ns Duration and 14ns rise time which travels down the coax.

The Information that I Need now is, what is the highest frequency component of this pulse and its bandwidth. How can I calculate this in real time?( I am using MPLAB IDE for this application.)

I would like to add new data Points between the sample Points of the Signal to increase the resolution. The Information that is measured is the reflection. (I have an ADC with 12 bit Resolution and 10Msamples/sec)

Can anyone help me in understanding how to build the algorithm for such numerical Approximation and Interpolation?

Your help will be greatly appreciated.