Systems, methods, and devices for characterizing ear canal acoustic impedance, admittance, and reflectance by pole-zero fitting
Embodiments for characterizing ear canal acoustic impedance and reflectance by pole-zero fitting are disclosed. Embodiments include transmitting an acoustic signal into an ear canal by a transducer having an acoustic source pressure. Further embodiments, measure complex cavity pressure, P(f), response based on the transmitted acoustic signal reflected by eardrum using an acoustic measurement device. Additional, such embodiments, calculate complex acoustic reflectance (CAR) based on the P(f). Other embodiments determine number of poles and zeroes of CAR pole-zero model to reduce residual error between the CAR pole-zero model and CAR data stored in memory within a threshold. Also, embodiments verify the residual error of CAR pole-zero model compared to the CAR data is within the threshold. Further, embodiments factor the CAR pole-zero model into an all pass component and a minimum phase component. Additional embodiments determine ear drum impedance by removing the all phase component of the CAR pole-zero model.
1. A method, comprising:
transmitting, by a transducer, an acoustic signal into an ear canal;
measuring, using a microphone on a first end of the ear canal, a complex cavity pressure based on the transmitted acoustic signal reflected by an ear drum situated at a second, distal end of the ear canal;
calculating, by a computing device, a complex acoustic reflectance (CAR) based on the measured complex cavity pressure;
calculating, using the computing device, a CAR pole-zero model such that a residual error between the calculated CAR pole-zero model and the calculated CAR is less than a threshold;
factoring, by the computing device, the CAR pole-zero model into an all pass component and a minimum phase component;
determining, by the computing device, ear drum impedance by removing the all pass component of the CAR pole-zero model;
displaying, on a user interface, poles and zeros of the minimum phase component of the CAR pole-zero model; and
automatically determining a normal hearing status by identifying the presence of distinct pole-zero pairs in a mid-frequency region within a predetermined variation associated with normal ears.
2. The method of claim 1 , wherein the transducer is calibrated based on the Norton equivalent parameters of an acoustic source.
3. The method of claim 1 , further comprising using Weiner filtering to factor the CAR pole-zero model into the all pass component and the minimum phase component.
4. The method of claim 1 , further comprising processing the ear drum impedance to determine one or more middle ear pathologies.
5. The method of claim 1 , wherein the complex acoustic reflectance is based on a ratio of a reflected wave pressure to an incident wave pressure.
6. The method of claim 1 , wherein calculating a CAR pole-zero model uses a vector fitting procedure.
7. The method of claim 1 , further comprising automating differential diagnosis of a middle ear pathology by calculating an absorbance level from the minimum phase component of the CAR pole-zero model and comparing the absorbance level with data for a middle ear pathology.