# Calculate bandwidth of a signal for Nyquist–Shannon sampling theorem

I have to calculate the minimum sampling frequency for the Nyquist–Shannon sampling theorem which is Fc > 2*B, where B is the signal bandwidth. I have this signals: $$\text{sinc}^5(t/2 - 4)$$ and $$\text{sinc}^3(3 - 2t)$$

How can I calculate the signal bandwidth to obtain the minimum sampling frequency for the Nyquist–Shannon sampling theorem?

• Hi! Are you a student ? is this a homework? please indicate. – Fat32 Jan 21 '19 at 16:44
• what do mean by sinc^(3-2t)? Is it $\text{sinc}(3-2t)$? – BlackMath Jan 21 '19 at 16:49
• @BlackMath I’ve corrected the function. Is sinc^3(3 - 2t) – Peter Vogric Jan 21 '19 at 16:55
• @Fat32 Yes I’m a student and this is a quesiton of my test at university – Peter Vogric Jan 21 '19 at 16:56
• ok. are you taking a signals course ? – Fat32 Jan 21 '19 at 16:56

1. Shifts in the time domain don't affect the bandwidth, so the $$-4$$ and the $$+3$$ can be ignored.
2. Reversal of the time domain axis doesn't affect the bandwidth, so you can ignore the negative sign on the $$-2t$$.
3. The $$\mathrm{sinc}()$$ function has a Fourier transform that is a rectangle function of a particular width.