Method and circuit for operating electro-acoustic transducers for reception and transmission using ring-down parameters

A circuit, comprising:

• at least one electro-acoustical transducer having a sensitivity and a frequency bandwidth;
• an adjustable load circuit having a set of adjustable load parameters comprising at least one resistance parameter and one inductance parameter;
• and
• processing circuitry coupled to the at least one electro-acoustical transducer and the adjustable load circuitry, the adjustable load circuit having a set of adjustable load parameters including at least one resistance parameter and one inductance parameter, the processing circuitry configured to:
• obtain at least one resonance frequency of a plurality of resonance frequencies and at least one ring-down parameter of a plurality of ring-down parameters of the electro-acoustical transducer;
• calculate, as a function of the at least one of a resonance frequency and at least one ring-down parameter, a set of model parameters of a Butterworth-Van Dyke (BVD) model of the electro-acoustical transducer, the BVD model including an equivalent circuit network having a constant capacitance coupled to a RLC branch, wherein the adjustable load circuit is coupled with the electro-acoustical transducer at an input port of the equivalent circuit network of the BVD model of the electro-acoustical transducer;
• adjust the set of adjustable load parameters as a function of the calculated set of model parameters of the BVD model of the electro-acoustic transducer to increase at least one of the bandwidth and the sensitivity of the electro-acoustic transducer;
• produce a set of load candidate values for the set of adjustable load parameters, the set of load candidate values including at least one set of initial configuration values;
• produce a set of frequency values distributed across a range of frequencies including a frequency value equal to the resonant frequency;
• obtain, as a function of the set of frequency values and the set of load candidate values, at least one set of signals indicative of bandwidth and sensitivity of the electro-acoustic transducer;
• and
• perform a comparison between a sensitivity threshold and signals in the obtained at least one set of signals, and select a subset of signals in the at least one set of signals as a result of the comparison.

A device, comprising:

• a circuit including:
• at least one electro-acoustical transducer having a sensitivity and a frequency bandwidth;
• an adjustable load circuit having a set of adjustable load parameters comprising at least one resistance parameter and one inductance parameter;
• and
• processing circuitry coupled to the at least one electro-acoustical transducer and the adjustable load circuitry, the adjustable load circuit having a set of adjustable load parameters including at least one resistance parameter and one inductance parameter, the processing circuitry configured to:
• obtain at least one resonance frequency of a plurality of resonance frequencies and at least one ring-down parameter of a plurality of ring-down parameters of the electro-acoustical transducer;
• calculate, as a function of the at least one of a resonance frequency and at least one ring-down parameter, a set of model parameters of a Butterworth-Van Dyke (BVD) model of the electro-acoustical transducer, the BVD model including an equivalent circuit network having a constant capacitance coupled to a RLC branch, wherein the adjustable load circuit is coupled with the electro-acoustical transducer at an input port of the equivalent circuit network of the BVD model of the electro-acoustical transducer;
• and
• adjust the set of adjustable load parameters as a function of the calculated set of model parameters of the BVD model of the electro-acoustic transducer to increase at least one of the bandwidth and the sensitivity of the electro-acoustic transducer;
• produce a set of load candidate values for the set of adjustable load parameters;
• obtain at least one set of signals indicative of bandwidth and sensitivity of the electro-acoustic transducer;
• perform a comparison between a sensitivity threshold and signals in the obtained at least one set of signals, and select a subset of signals in the at least one set of signals as a result of the comparison;
• select a set of bandwidth-maximizing load candidate values in the set of load candidate values, wherein the bandwidth-maximizing load candidate values are the set of load candidate values in the set of load candidate values corresponding to a bandwidth-maximizing signal having a relative maximum bandwidth among the selected subset of signals indicative of bandwidth and sensitivity of the electro-acoustic transducer;
• and
• adjust the set of adjustable load parameters of the adjustable load circuit to be equal to the set of bandwidth-maximizing load candidate values.