# Bandwidth of Information Signal

I have trouble finding the bandwidth of a signal. Say I have an info bearing signal m(t)=sinc(2t/pi). I found the fourier transform of the sinc function and found that the angular frequency was 1/pi. I am confused whether the the bandwidth is w or 2w. Since it is band-limited, does that mean only the positive w is counted and the bandwidth is just 1/pi?

When you look on a signal's DFT transform what you see is given in normalized units in the range $[ -\pi, \pi ]$ where $\pi$ equals the sampling rate.
Since the DFT is periodic and the way FFT work when one calculate the DFT in modern software (MATLAB / Python, etc...) the DFT is given in the $[0, 2 \pi ]$ range.
In order to view it in the more intuitive way one could use fftshift() (MATLAB).