Systems and methods for extending frequency response of resonant transducers

Patent metadata

Field	Value
Publication number	US-10697827-B2
Application number	US-201414528847-A
Country	US
Kind code	B2
Filing date	Oct 30, 2014
Priority date	Jun 16, 2014
Publication date	Jun 30, 2020
Grant date	Jun 30, 2020

Abstract

Certain implementations of the disclosed technology may include systems and methods for extending a frequency response of a transducer. A method is provided that can include receiving a measurement signal from a transducer, wherein the measurement signal includes distortion due to a resonant frequency of the transducer. The method includes applying a complementary filter to the measurement signal to produce a compensated signal, wherein applying the complementary filter reduces the distortion to less than about +/−1 dB for frequencies ranging from about zero to about 60% or greater of the resonant frequency. The method further includes outputting the compensated signal.

First claim

We claim:

1. A method comprising:
receiving an electrical measurement signal from a sensor having a protective screen, wherein the measurement signal includes distortion due to a resonant frequency of the sensor;
applying, to the measurement signal, an analog complementary compensation filter circuit adapted to compensate for distortion in the measurement signal caused by the protective screen, the complementary compensation filter comprising a second order transfer function to the measurement signal to produce a compensated frequency response signal, wherein applying the complementary compensation filter circuit reduces the distortion to less than 1 dB for frequencies ranging from zero to 60% of the resonant frequency; and
outputting the compensated signal wherein the compensated signal reduces a resonance associated with the sensor.

2. The method of claim 1 , wherein applying the complementary compensation filter circuit to the measurement signal comprises applying a filter having a frequency response based on an inverse frequency response of the sensor, wherein the second order transfer function is implemented by a double integrator with feedback.

3. The method of claim 1 , further comprising;
determining the resonant frequency associated with a frequency response of the sensor.

4. The method of claim 3 , further comprising:
determining a frequency response complementary to the frequency response of the sensor.

5. The method of claim 3 , further comprising:
determining a quality factor associated with a frequency response of the sensor.

6. The method of claim 5 , further comprising:
determining parameters of the compensation filter circuit corresponding to a frequency response and quality factor complementary to the frequency response of the sensor.

7. The method of claim 1 , wherein the complementary compensation filter circuit includes a Helmholtz frequency response, T c (f), represented by the equation:

T
c

⁡

(
f
)

=

-

f
2

+

i
⁢

⁢
f
⁢

⁢

f
n

Q

+

f
n
2

-

f
2

+

i
⁢

⁢
f
⁢

⁢

f
n

+

f
n
2

wherein f is the frequency variable, f n is the resonant frequency of the transducer, and Q is a quality factor associated with the sensor frequency response.

8. The method of claim 1 , wherein the complementary compensation filter circuit includes a seismic mass frequency response, T c (f), represented by the equation:

T
c

⁡

(
f
)

=

-

f
2

+

i
⁢

⁢
f
⁢

⁢

f
n

Q

+

f
n
2

f
n
2

wherein f is the frequency variable, f n is the resonant frequency of the transducer, and Q is a quality factor associated with the sensor frequency response.

9. The method of claim 1 , wherein the sensor comprises a diaphragm having a resonant frequency modeled by

f
=

36

2
⁢

⁢
π

⁢

E
⁢

⁢

t
2

12
⁢

⁢
ρ
⁢

⁢

a
4

⁡

(

1
-

v
2

)

and wherein the diaphragm is flat and square having a length a and thickness t, and where E is Young's modulus, v is Poisson's ratio of the diaphragm material,

Assignees

• Kulite Semiconductor Products Inc

Inventors

• Vandeweert Joe
• Hurst Adam
• Carter Joseph
• Firth Douglas R
• Szary Alan R

Classifications

• G01H11/08 Primary

  using piezoelectric devices · CPC title

• G01L9/065

  with temperature compensating means (non electric temperature compensating means G01L19/04) · CPC title

• G01L9/0047

  Diaphragm with non uniform thickness, e.g. with grooves, bosses or continuously varying thickness · CPC title

• G01H13/00 Primary

  Measuring resonant frequency · CPC title