Nonlinear vibration generates new frequencies absent from the original stimulus

Evidence

If the waveform changes as a function of signal or sound level those changes are non-linear distortions—these non-linear mechanisms add frequencies to the signal that were not there originally and are especially objectionable if they are high enough to be audible. — Toole, Floyd E, Sound reproduction- the acoustics and…, 946 (#corroborates, via linked claim)

If a system does not meet the LTI condition of Equation (3.12), it is time-variant if its response properties change as a function of time, or it is non-linear if its transfer properties depend on the signal passing through it. In both cases the system can generate new frequency components that do not exist in the input signal. The analysis, modelling, or synthesis of such systems is typically substantially more difficult than for an LTI system. — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 358 (#corroborates, via linked claim)

Categorization

• XREF: connects to: The siren showed sinusoid partials arise without any sinusoidally vibrating source; Nonlinear distortion adds frequencies that were not in the original signal — Toole, Floyd E, Sound reproduction- the acoustics and…, 946; Nonlinear cochlear mechanics make listeners perceive nonexistent difference tones (+7 more)

Related

• Non-linear and time-variant systems generate frequency components absent from the input (similarity 0.94)
• Nonlinear distortion adds frequencies that were not in the original signal (similarity 0.92)
• Nonlinear distortion generates new frequencies that change timbre with volume (similarity 0.84)
• Nonlinear vibrating systems generate sum, difference, and combination frequencies (similarity 0.84)
• Non-linear distortion generates new frequencies as level-dependent behavior shifts. (similarity 0.83)
• Combination tones arise from the hearing system’s own nonlinearity (similarity 0.82)
• Difference noise generated by ear nonlinearities can be heard before the test tone itself (similarity 0.81)
• Linear time-invariant systems cannot generate new frequency components (similarity 0.81)
• Nonlinear cochlear mechanics make listeners perceive nonexistent difference tones (similarity 0.81)
• The siren showed sinusoid partials arise without any sinusoidally vibrating source (similarity 0.80)
• Hearing’s own nonlinearity produces audible difference tones even in distortion-free equipment (similarity 0.79)
• Audio distortion arises from level-dependent nonlinearity in the device’s transfer function (similarity 0.79)
• Superposed sinusoids with incommensurate frequencies yield nonperiodic motion (similarity 0.79)
• LTI systems cannot create new frequency components from their input signals (similarity 0.78)
• The ear generates audible combination tones not present in the stimulus (similarity 0.78)

Broader Connections

• Nonlinear distortion adds frequencies that were not in the original signal #corroborates (0.95) — Toole, Floyd E, Sound reproduction- the acoustics and…, 946
• Non-linear and time-variant systems generate frequency components absent from the input #corroborates (0.95) — Ville Pulkki, Matti Karjalainen, Communication Acoustics- An…, 358
• Nonlinear cochlear mechanics make listeners perceive nonexistent difference tones #exemplifies (0.82)
• Two simultaneous tones generate audible lower tones absent from the stimulus #exemplifies (0.78) — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1571
• Combination tones fill in missing harmonics of a perceived fundamental #exemplifies (0.75)
• A combined waveform can produce a perceived pitch absent from its actual frequency components #expands (0.72) — Eric J. Heller, Why You Hear What You Hear- An…, 323