Interactive Ear Audio Model

Audio output spectrogram

Time → • Frequency ↓ • brighter = more energy

Source Reflection path Canal

Live anatomy values

Calculated from the active model

Combined response at the eardrum

Updates continuously as anatomy changes

Individual component responses

20 Hz – 20 kHz

Resonances & notches

Model feature readout

Middle-ear audio output spectrogram

Time → • Frequency ↓ • brighter = more energy

Middle-ear model readout

Calculated from the full loaded circuit

Middle-ear transmission magnitude

20 Hz – 20 kHz • H(f) = V(Rc)/Vin

Middle-ear transmission phase

Unwrapped phase • 20 Hz – 20 kHz

Middle-ear input impedance

Magnitude shown in dBΩ relative to 1 Ω; 1 kHz value is also reported in Ω above

FUTURE MODEL

Inner Ear

The inner-ear model will be added later without changing the outer- or middle-ear interfaces.

1Outer EarCurrent model

→

2Middle EarPlanned

→

3Inner EarNot implemented yet

Planned interface: the inner-ear model will receive the middle-ear output as its input.

Reserved for the inner-ear model

Cochlear input/load model
Frequency-dependent basilar-membrane response
Optional auditory-filterbank representation
Future neural or perceptual outputs

Status: placeholder only

Combined audio

No audio loaded.

Cascade definition

The output of the outer-ear model is used as the input to the middle-ear model.

Frequency-domain cascade:

H_total(f) = H_outer(f) × H_middle(f)

Therefore, in dB, the magnitudes add, while the complex phases add through multiplication.

Cascade assumptions

1. There are no instances of loading feedback. The outer-ear response is not affected by the middle-ear’s input impedance, resulting in a unilateral cascade.

2. In a real ear, the tympanic membrane and middle-ear’s input impedance can change the eardrum pressure and ear canal resonances. This pairing is not included in the virtual model.

3. The outer-ear and middle-ear systems act as LTI systems. While nonlinear elements such as acoustic reflex are included in the model, there are no instances of realistic level-based reactance or triggering.

Combined outer + middle audio spectrogram

Processed through Houter(f) × Hmiddle(f)

Outer + middle ear readout

Same anatomy/parameter settings used on the standalone pages

Combined outer + middle ear magnitude

20 Hz – 20 kHz • Htotal(f) = Houter(f) × Hmiddle(f)

Combined outer + middle ear phase

Outer, middle, and cascaded phase shown together

Implemented signal flow

H_outer(f)→eardrum pressure

eardrum pressure→H_middle(f)

H_outer × H_middle→cochlear-load output

The Middle Ear page remains a standalone transfer-function view with unit input. The Combined page is where the actual outer → middle cascade is applied.