US 8,078,433 B2Granted

Optimal estimation of transducer parameters

OwnerWolfgang Klippelinventor

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Abstract

The invention relates to an arrangement and method for estimating the linear and nonlinear parameters of a model 11 describing a transducer 1 which converts input signals x(t) into output signals y(t) (e.g., electrical, mechanical or acoustical signals). Transducers of this kind are primarily actuators (loudspeakers) and sensors (microphones), but also electrical systems for storing, transmitting and converting signals. The model describes the internal states of the transducer and the transfer behavior between input and output both in the small-and large-signal domain. This information is the basis for measurement applications, quality assessment, failure diagnostics and for controlling the transducer actively. The identification of linear and nonlinear parameters Pl and Pn of the model without systematic error (bias) is the objective of the current invention. This is achieved by using a transformation system 55 to estimate the linear parameters Pl and the nonlinear parameters Pn with separate cost functions.

Claims18

Dependent claims

An arrangement for optimal and bias-free estimation of linear parameters Pl and nonlinear parameters Pn of a model having a model input and a model output y′(t) =y′lin(t)+y′nlin(t) comprising a linear signal component y′lin(t) determined by said linear parameters Pl and a nonlinear signal component y′nlin(t) determined by said nonlinear parameters Pnlin, said model describing a transducer having at least one transducer input which is supplied with an electrical, acoustical or arbitrary input signal x(t) and at least one transducer output which generates an electrical, acoustical or arbitrary transducer output signal y(t)=ylin(t)+ynlin(t) comprising a linear signal part ynlin(t) and a nonlinear signal part ynlin(t),

characterized in that said arrangement comprises:
a transformation system having a first transformation input connected to receive said input signal x(t), a second transformation input connected to receive said output signal y(t), said transformation system having a first transformation output and a second transformation output,
a nonlinear estimation system having a signal input connected to receive said first transformation output and having an nonlinear parameter output providing said nonlinear parameters Pn of the model by minimizing a first cost function Cn which evaluates the nonlinear deviation en(t)=ynlin(t)−y′nlin(t) between the nonlinear signal part ynlin(t) of said transducer output signal y(t) and the nonlinear signal component y′nlin(t) in the model output y′(t), and
a linear estimation system having an input connected to receive said second transformation output and having an output producing linear parameters Pl of said model by minimizing a second cost function C which evaluates the linear deviation el(t)=ylin(t)−y′lin(t) between the linear signal part ylin(t) of said transducer output signal y(t) and the linear signal component y′lin(t) in the model output y′(t).

1 more element

A method for optimal and bias-free estimation of linear parameters Pl and nonlinear parameters Pn of a model having a model input and a model output y′(t)=y′lin(t)+y′nlin(t) comprising a linear signal component y′lin(t) determined by said linear parameters Pl and a nonlinear signal component y′nlin(t) determined by said nonlinear parameters Pnlin, said model describing a transducer having at least one transducer input which is supplied with an electrical, acoustical or arbitrary input signal x(t) and at least one transducer output which generates an electrical, acoustical or arbitrary transducer output signal y(t)=Ylin(t)+Ynlin(t) comprising a linear signal part ylin(t) and a nonlinear signal part ynlin(t),

characterized in that said method comprises the steps of:
transforming said input signal x(t), said transducer output signal y(t) and said model output y′(t) into a first transformation output by using a nonlinear system,
transforming said input signal x(t), said output signal y(t) and said model output y′(t) into a second transformation output by using a linear system,
estimating the nonlinear parameters Pn by using said first transformation output and by minimizing a first cost function Cn which summarizes the nonlinear deviation en(t)=ynlin(t)−y′nlin(t) between the nonlinear signal part ynlin(t) of said transducer output signal y(t) and the nonlinear signal component y′nlin(t) of said model output y′(t), and
estimating the linear parameters Pl by using said second transformation output and by minimizing a second cost function C which summarizes the linear deviation el(t)=ylin(t)−y′lin(t) between the linear signal part ylin(t) of said transducer output signal y(t) and the linear signal component y′lin(t) of said model output y′(t).

2 more elements

Dependencies are inferred from the claim text.

Facts

Application: 12/009,879Filed 22 Jan 2008
Priority: DE 10 2007 005 0701 Feb 2007
Published: US 2008/0189087 A17 Aug 2008
Granted: 13 Dec 2011
Term ends: Not estimatedThe source records don’t support an estimate.

Classification4 codes

H04R 3/002
Circuits for transducers: damping circuit arrangements for transducers, e.g. motional feedback circuits
G06F 30/367
Circuit design at the analogue level: design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE],…
H04R
Loudspeakers, microphones, gramophone pick-ups or like acoustic electromechanical transducers
G06F
Computing and data processing