DIRAC DELTA

I currently find it hard to picture sampling of white noise by dirac delta train as :

1. It results in infinite PSD or Infinite Variance (All hell breaks lose)

2. Dirac delta trains rather than finite valued-finite width samples.

PULSE SAMPLING

ISF for my perspective looked like a gate which periodically opens and closes allowing noise to get sampled for an oscillator like a pulse. Pulse sampling was chosen to avoid infinite aliasing because if we had a periodc ISF train, then its fourier coefficients die down at high freq. Sum of Squares of the coeffiecients will be the multiplication factor on the white noise in the band. But then any pulse couldn't be it, but ISF.

BAND LIMITING

Definitely pulse sampling followed by the inverter's RC LPF-hold(say for a ring oscillator) results in a band determined by the RC (< Ts). Ignoring the above two para, we have a

**finite valued sample valid for one time period Ts and band limited to f<1/Ts.**In case you think, this thought could be erronous, let's not pursue it.

I value your precious time. I'm also trying to construct a theory.