(New page: x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm. Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if Ws > 2 * Wm, where Ws = (2* pi...) |
|||
Line 1: | Line 1: | ||
x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm. | x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm. | ||
− | Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if Ws > 2 * Wm, | + | Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if Ws > 2 * Wm, where Ws = (2* pi ) / T |
− | + | Then if X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples if Ts < pi/ Wm | |
− | where | + | |
− | + | ||
− | + | ||
− | Then if | + | |
− | + | ||
− | X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples if Ts < pi/ Wm | + |
Latest revision as of 18:17, 30 July 2009
x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm.
Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if Ws > 2 * Wm, where Ws = (2* pi ) / T
Then if X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples if Ts < pi/ Wm