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1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ... | 1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ... | ||
2. x(t) is band limited. | 2. x(t) is band limited. | ||
− | X(omega) = 0 for <math>|\omega|>\omega_m | + | X(<math>\omega</math>) = 0 for <math>|\omega|>\omega_m</math> |
− | + | 3. <math> 2\pi/T = \omega_s > 2\omega_m</math> | |
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Revision as of 13:52, 30 April 2018
Explanation of Sampling Theorem
The sampling theorem:
1. for x(nT) to be equally spaced samples of x(t), while n=0, +1, -1, +2, -2, ... 2. x(t) is band limited. X($ \omega $) = 0 for $ |\omega|>\omega_m $ 3. $ 2\pi/T = \omega_s > 2\omega_m $