Question

Using the electrical engineering Fourier notation convention for time and angular frequency, show that sinwT 2 t rect 2T FT(w) ω and that sinQt ω rect 202 fra() Fra(w) πί Sketch the time domain situation for the case when the spectral entry is for a single frequency (here denoted with f), ö(f - fu0er) upper and the sampling is at the Nyquist frequency, fsample 2f upper Do you see a problem? Check out "bandpass sampling" and explain what it is. Draw an example of the time waveform sampling and its spectra.

Answer 1

tunction Conmider a A Jwt dt jw ju x(w) Jw +2-A 2A sin (w Sin AT sin Xfw)= AT sinc T 2T In above. nepla ce derivation tt) Ject ). For x(eo)2AT sinc wT) ( 2AT Sin(wT) UT = 2A sinuT) When A 1, 2 sin(wT) F.T

Frn(w) ect / 22 A too 1 dw Fralw) wt 2-Tr -d2 jwt A e dw 2TT jat jnt 1 A A e jt -jnt7 A (4) TTt A sin t T TTt t) When A -1 TTt