qslazio
Full Member level 3
a bandlimit white noise x(t) with PSD of S0 is sampled (no aliasing) to produce x[n]. The PSD of x[n] is calculated to be S0/Ts (Ts is the sample period).
Now I just reconstruct the continuous noise xr(t) by passing x[n] impulses to the ideal reconstruction filter (gain=Ts, -fs<f<fs). The output PSD is calculated to be S0/Ts*Ts^2=S0*Ts. There is an offset from the input noise PSD by a ratio of Ts!
There must be some scaling error in above statement because ideal sampling and reconstructing a bandlimit white noise should produce itself. Please correct me!! Thanks!!
Now I just reconstruct the continuous noise xr(t) by passing x[n] impulses to the ideal reconstruction filter (gain=Ts, -fs<f<fs). The output PSD is calculated to be S0/Ts*Ts^2=S0*Ts. There is an offset from the input noise PSD by a ratio of Ts!
There must be some scaling error in above statement because ideal sampling and reconstructing a bandlimit white noise should produce itself. Please correct me!! Thanks!!