Is this equivalent to “Aliasing only comes from frequencies greater than the Nyquist frequency”?
SeanW0823
From the contrapositive law in the laws of implication with p = signals that are less than the Nyquist frequency and q = no aliasing, Nyquist theorem states that: if p, then q. This means that if NOT q, then p would be true. Please let me know if this reasoning makes sense logically.
Zc0in
For a given sampling rate (samples per second), the Nyquist frequency (cycles per second), is the frequency whose cycle-length (or period) is twice the interval between samples, thus 0.5 cycle/sample.(From wiki's definition) Nyquist Theorem imply to us that when we sample the sampled signal at twice the highest frequency, we can fully recover the sampled signal
jiaheyi-maggie
Since the sampling is suppose to capture the information from a finite bandwidth, does that mean that having non-zero continuous function for this method wouldn't work? How do people usually solve this in practice?
Is this equivalent to “Aliasing only comes from frequencies greater than the Nyquist frequency”?
From the contrapositive law in the laws of implication with p = signals that are less than the Nyquist frequency and q = no aliasing, Nyquist theorem states that: if p, then q. This means that if NOT q, then p would be true. Please let me know if this reasoning makes sense logically.
For a given sampling rate (samples per second), the Nyquist frequency (cycles per second), is the frequency whose cycle-length (or period) is twice the interval between samples, thus 0.5 cycle/sample.(From wiki's definition) Nyquist Theorem imply to us that when we sample the sampled signal at twice the highest frequency, we can fully recover the sampled signal
Since the sampling is suppose to capture the information from a finite bandwidth, does that mean that having non-zero continuous function for this method wouldn't work? How do people usually solve this in practice?