To reproduce a frequency faithfully you must sample at least twice its rate
Evidence
These calculations show that the summation of correlated sources can be strongly frequency dependent and can vary between zero and twice the wave pressure amplitude. — David Howard, Jamie Angus, coustics and Psychoacoustics, 260 (
#expands, via linked claim)
Categorization
Category: Causal Relationships
Related
- Correlated source summation swings from zero to twice amplitude by frequency (similarity 0.87)
- Uncorrelated source totals ignore the relative phases of signals. (similarity 0.86)
- Correlated sound sources sum to between zero and twice their individual amplitudes (similarity 0.86)
- Phase relationships between subcomponents shape a source’s radiation pattern (similarity 0.82)
- Uncorrelated sound waves sum by power, not by amplitude. (similarity 0.82)
- Mutual resonance between sources boosts combined power beyond their sum (similarity 0.82)
- Two correlated sources combine constructively or destructively depending on frequency (similarity 0.80)
- Correlated sound sources add pressures while uncorrelated ones add energy (similarity 0.80)
- Adding uncorrelated sound sources raises level as the square root of their number (similarity 0.80)
- Correlated sound sources create spatial interference patterns that uncorrelated sources do not. (similarity 0.80)
- Correlated sound sources combine by direct pressure addition (similarity 0.79)
- Frequency response varies wildly across a hall yet listeners barely notice (similarity 0.79)
- Sound power and intensity levels are unaffected by source correlation, unlike pressure level (similarity 0.79)
- Interfering sound waves pass through each other because their energy flow is preserved (similarity 0.78)
- Two equal uncorrelated sound sources add only 3 decibels. (similarity 0.78)
Broader Connections
- Correlated source summation swings from zero to twice amplitude by frequency
#expands(0.75) — David Howard, Jamie Angus, coustics and Psychoacoustics, 260