Correlated source summation swings from zero to twice amplitude by frequency

Evidence

On the other hand, if the sound waves are uncorrelated, then they do not add algebraically, like correlated waves; instead, we must add the powers of the individual waves together. As stated earlier, the power in a waveform is proportional to the square of the pressure levels, so in order to sum the powers of the waves, we must square the pressure amplitudes before adding them together. If we want the result as a pressure, then we must take the square root of the result. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 244 (#expands, via linked claim)

Categorization

• corroborated: 2 independent passages support this claim
• XREF: connects to: To reproduce a frequency faithfully you must sample at least twice its rate; Phase relationships between subcomponents shape a source’s radiation pattern; Interference pattern of correlated sources varies with both listener position and frequency (+6 more)

Related

• Correlated sound sources sum to between zero and twice their individual amplitudes (similarity 0.97)
• Uncorrelated sound waves sum by power, not by amplitude. (similarity 0.94)
• Uncorrelated source totals ignore the relative phases of signals. (similarity 0.94)
• Correlated sound sources add pressures while uncorrelated ones add energy (similarity 0.93)
• Correlated sound sources create spatial interference patterns that uncorrelated sources do not. (similarity 0.92)
• Adding uncorrelated sound sources raises level as the square root of their number (similarity 0.91)
• Two equal uncorrelated sound sources add only 3 decibels. (similarity 0.89)
• To reproduce a frequency faithfully you must sample at least twice its rate (similarity 0.88)
• Phase relationships between subcomponents shape a source’s radiation pattern (similarity 0.87)
• Correlated sound sources combine by direct pressure addition (similarity 0.85)
• Interfering sound waves pass through each other because their energy flow is preserved (similarity 0.85)
• Interference pattern of correlated sources varies with both listener position and frequency (similarity 0.84)
• Mutual resonance between sources boosts combined power beyond their sum (similarity 0.84)
• Even identical instruments playing in unison produce uncorrelated waveforms. (similarity 0.84)
• Adding sound levels differs depending on whether sources are correlated or not. (similarity 0.81)

Broader Connections

• Correlated sound sources add pressures while uncorrelated ones add energy #expands (0.92)
• Correlated waves interfere with each other while uncorrelated sources do not #expands (0.90)
• Uncorrelated sound waves sum by power, not by amplitude. #expands (0.88) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 244
• Correlated sound sources create spatial interference patterns that uncorrelated sources do not. #exemplifies (0.75)