Method and system for determining an optimum drive signal for an acoustic transducer

Abstract

A method and system is disclosed for determining an optimum drive signal for an acoustic transducer. A pulse signal is employed as a wideband reference signal V.sub.r(t); and, in a pulse-echo measurement a corresponding wideband echo signal V.sub.e(t) is obtained. A normalized loop frequency response {circumflex over (X)}(f) for the acoustic transducer is defined as a ratio of a Fourier Transform of the V.sub.e(t) to a Fourier Transform of the V.sub.r(t), and a normalized loop time response X(t) is defined as an Inverse Fourier Transform of the {circumflex over (X)}(f). An optimum drive signal B(t) for the acoustic transducer is defined as B(t)*G(t), wherein a coefficient is determined to multiply a function G(t), in which the function G(t) is derived from one of the normalized loop time response X(t) and the normalized loop frequency response {circumflex over (X)}(f).

Claims

1. A method for determining an optimum drive signal for an acoustic transducer among a plurality of acoustic transducers in an acoustic probe, the method using a pulse generator, a programmable waveform generator and a control unit electrically coupled to the pulse generator and the programmable waveform generator, the control unit including a memory storing therein a program or firmware, the method comprising: electrically coupling a predetermined load to the pulse generator; generating, by the pulse generator, a first pulse to create a wideband signal as a reference signal; obtaining, by the control unit, a wideband reference signal V.sub.r(t); obtaining, by the control unit, a function {circumflex over (V)}.sub.r(f) that is a Fourier Transform of the wideband reference signal V.sub.r(t); removing the predetermined load from the pulse generator; electrically coupling the pulse generator to a first acoustic transducer among the plurality of acoustic transducers in the acoustic probe; generating, by the pulse generator, a second pulse to generate wideband acoustic wave from the first acoustic transducer among the plurality of acoustic transducers in the acoustic probe, and obtaining, by the control unit, a wideband echo signal V.sub.e(t) after the wideband acoustic wave being reflected from an acoustic mirror; obtaining, by the control unit, a function {circumflex over (V)}.sub.e(f) that is a Fourier Transform of the wideband echo signal V.sub.e(t); obtaining, by the control unit, a normalized loop frequency response {circumflex over (X)}(f) as follows: $\hat{X}\left(f\right)\stackrel{\mathrm{def}}{=}\frac{{\hat{V}}_e\left(f\right)}{{\hat{V}}_r\left(f\right)},$ and obtaining, by the control unit, a normalized loop time response X(t) as follows: X(t)Inverse Fourier Transform of the {circumflex over (X)}(f).

2. A system for determining an optimum drive signal for an acoustic transducer among a plurality of acoustic transducers in an acoustic probe, the system comprising: a pulse generator configured to be selectively electrically coupled to a predetermined load for generating, by the pulse generator, a first pulse to create a wideband signal as a reference signal, and be selectively electrically coupled to a first acoustic transducer among the plurality of acoustic transducers in the acoustic probe for generating, by the pulse generator, a second pulse to create a wideband acoustic wave; a programmable waveform generator electrically coupled to the first acoustic transducer for generating a drive signal to drive the first acoustic transducer; and a control unit electrically coupled to the pulse generator and the programmable waveform generator.

3. The system as claimed in claim 2, wherein the control unit includes a memory storing therein a program or firmware for causing the control unit to obtain a wideband reference signal V.sub.r(t), and obtain a function {circumflex over (V)}.sub.r(f) that is a Fourier Transform of the wideband reference signal V.sub.r(t), obtain a wideband echo signal V.sub.e(t) after the wideband acoustic wave being reflected from an acoustic mirror, obtain a function {circumflex over (V)}.sub.e(f) that is a Fourier Transform of the wideband echo signal V.sub.e(t), obtain a normalized loop frequency response {circumflex over (X)}(f) as follows: $\hat{X}\left(f\right)\stackrel{\mathrm{def}}{=}\frac{{\hat{V}}_e\left(f\right)}{{\hat{V}}_r\left(f\right)},$ and obtain a normalized loop time response X(t) as follows: X(t)Inverse Fourier Transform of the {circumflex over (X)}(f).

4. The system as claimed in claim 3, wherein the control unit is configured to calculate a function G(t) as a self-deconvolution of the normalized loop time response X(t).

5. The system as claimed in claim 4, wherein the control unit is configured to obtain the drive signal B(t) for the programmable waveform generator to drive the first acoustic transducer as follows: B(t)*G(t), wherein a coefficient is determined to multiply the function G(t).

6. The system as claimed in claim 5, wherein the control unit is configured to store the drive signal B(t) in the memory.

7. The system as claimed in claim 4, wherein the control unit is configured to store the function G(t) in the memory.

8. The system as claimed in claim 3, wherein the control unit is configured to calculate a function G(t) as an Inverse Fourier Transform of a square root of the normalized loop frequency response {circumflex over (X)}(f).

9. The system as claimed in claim 8, wherein the control unit is configured to store the function G(t) in the memory.

10. The system as claimed in claim 8, wherein the control unit is configured to obtain the drive signal B(t) for the programmable waveform generator to drive the first acoustic transducer as follows: B(t)*G(t), wherein a coefficient is determined to multiply the function G(t).

11. The system as claimed in claim 10, wherein the control unit is configured to store the drive signal B(t) in the memory.

12. The system as claimed in claim 3, wherein the first or second pulse is one of a unipolar pulse and a bipolar pulse.

13. The system as claimed in claim 12, wherein the unipolar pulse is one of a negative-going pulse and a positive-going pulse.

14. The system as claimed in claim 12, wherein the bipolar pulse is a negative-going pulse first and a positive-going pulse second.

15. The system as claimed in claim 12, wherein the bipolar pulse is a positive-going pulse first and a negative-going pulse second.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIGS. 1A1B show a typical structure for an acoustic probe in a prior art.

(2) FIG. 2A shows a measuring arrangement for reference signal in a prior art.

(3) FIG. 2B shows a measuring arrangement for an acoustic probe in a prior art.

(4) FIG. 3A shows a reference signal for an acoustic probe in a prior art.

(5) FIG. 3B shows an echo signal for an acoustic probe in a prior art.

(6) FIGS. 4A4B show a negative-going unipolar pulse used as a wideband reference signal and its energy spectrum for a first embodiment according to the present invention.

(7) FIGS. 5A5B show a positive-going unipolar pulse used as a wideband reference signal and its energy spectrum for a second embodiment according to the present invention.

(8) FIG. 6A shows a typical energy spectrum of wideband reference signal based on a unipolar pulse signal for a first and second embodiments according to the present invention.

(9) FIG. 6B shows a typical frequency response for an acoustic transducer in the first and second embodiments according to the present invention.

(10) FIGS. 7A7B show a negative-positive bipolar pulse used as a wideband reference signal and its energy spectrum for a third embodiment according to the present invention.

(11) FIGS. 8A8B show a positive-negative bipolar pulse used as a wideband reference signal and its energy spectrum for a fourth embodiment according to the present invention.

(12) FIG. 9A shows a typical energy spectrum of wideband reference signal based on a bipolar pulse signal for the third and fourth embodiments according to the present invention.

(13) FIG. 9B shows a typical frequency response for an acoustic transducer in the third and fourth embodiments according to the present invention.

(14) FIG. 10A shows a measuring arrangement for a wideband reference signal according to the present invention.

(15) FIG. 10B shows a measuring arrangement for an acoustic probe according to the present invention.

(16) FIG. 11A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a negative-going unipolar pulse for a first embodiment.

(17) FIG. 11B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the negative-going unipolar pulse for the first embodiment.

(18) FIG. 12A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a positive-going unipolar pulse for a second embodiment.

(19) FIG. 12B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the positive-going unipolar pulse for the second embodiment.

(20) FIG. 13A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a first bipolar pulse for a third embodiment.

(21) FIG. 13B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the first bipolar pulse for the third embodiment.

(22) FIG. 14A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a second bipolar pulse for a fourth embodiment.

(23) FIG. 14B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the second bipolar pulse for the fourth embodiment.

(24) FIG. 15 shows a flow chart for determining an optimum drive signal for an acoustic transducer according to the present invention.

(25) FIG. 16A shows a measured normalized loop time response for a given acoustic transducer according to the present invention.

(26) FIG. 16B shows an optimum drive signal based on the measured normalized loop time response for the given acoustic transducer according to the present invention.

(27) FIG. 17 shows a system for determining and generating an optimum drive signal for an acoustic transducer in an acoustic probe according to the present invention.

DETAILED DESCRIPTION OF THE INVENTION

(28) The present invention discloses a method and system for measuring wideband characteristics of an acoustic transducer in an acoustic probe; the wideband characteristics include normalized loop time response X(t) and optimum drive signal on energy efficiency basis. The loop means the pulse-echo mode in which an acoustic transducer transmits an acoustic wave out and a corresponding reflected echo wave is received by the same acoustic transducer.

(29) A method and system for determining an optimum drive signal on energy efficiency basis for an acoustic transducer in an acoustic probe is introduced according to the present invention.

(30) A pulse signal is adopted as a wideband reference signal V.sub.r(t) for measuring wideband characteristics of an acoustic transducer according to the present invention. There are four embodiments of adopted pulse signal used in the present invention, which include a negative-going unipolar pulse 400 for a first embodiment, a positive-going unipolar pulse 500 for a second embodiment, a negative-positive bipolar pulse 700 for a third embodiment, and a positive-negative bipolar pulse 800 for a fourth embodiment, according to the present invention.

(31) FIGS. 4A4B show a negative-going unipolar pulse used as a wideband reference signal and its energy spectrum for a first embodiment according to the present invention. The wideband reference signal V.sub.r(t) of negative-going unipolar pulse 400 is adopted in the first embodiment, and an energy spectrum of wideband reference signal

(32) $\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^2$
of negative-going unipolar pulse 404 is obtained, in which the function {circumflex over (V)}.sub.r(f) is a Fourier Transform of the wideband reference signal V.sub.r(t) of negative-going unipolar pulse 400.

(33) FIGS. 5A5B show a positive-going unipolar pulse used as a wideband reference signal and its energy spectrum for a second embodiment according to the present invention. The wideband reference signal V.sub.r(t) of positive-going unipolar pulse 500 is adopted in the second embodiment, and an energy spectrum of wideband reference signal

(34) $\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^2$
of positive-going unipolar pulse 504 is obtained, in which the function {circumflex over (V)}.sub.r(f) is a Fourier Transform of the wideband reference signal V.sub.r(t) of positive-going unipolar pulse 500.

(35) FIG. 6A shows a typical energy spectrum of wideband reference signal based on a unipolar pulse signal for the first and second embodiments according to the present invention. A maximum energy spectrum density of the energy spectrum of wideband reference signal 404, 504 is at 0 Hz (f.sub.0). An upper bound frequency (f.sub.4) of the energy spectrum of wideband reference signal 404, 504 is a frequency where the energy spectrum density drops down to a certain decibel value (e.g., 6 dB) relative to the maximum energy spectrum density at 0 Hz (f.sub.0).

(36) FIG. 6B shows a typical frequency response for an acoustic transducer in the first and second embodiments according to the present invention. A maximum frequency response of an acoustic transducer is usually at its central frequency or resonant frequency. The upper bound frequency (f.sub.3) and lower bound frequency (f.sub.2) for the frequency response of acoustic transducer 600 are frequencies where the frequency response drops down to a certain decibel value (e.g., 6 dB) relative to its maximum response located at between (f.sub.2) and (f.sub.3), respectively.

(37) To assure a good signal-to-noise ratio for the measurement in the first and second embodiments, the requirement is that the upper bound frequency (f.sub.4) of the energy spectrum of wideband reference signal 404, 504 is greater than the upper bound frequency (f.sub.3) of the frequency response of the acoustic transducer 600, that is, f.sub.4>f.sub.3, according to the present invention.

(38) FIGS. 7A7B show a negative-positive bipolar pulse used as a wideband reference signal and its energy spectrum for a third embodiment according to the present invention. The wideband reference signal V.sub.r(t) of negative-positive bipolar pulse 700 is adopted in the third embodiment, and an energy spectrum of wideband reference signal

(39) $\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^2$
of negative-positive bipolar pulse 704 is obtained, in which the function {circumflex over (V)}.sub.r(f) is a Fourier Transform of the wideband reference signal V.sub.r(t) of negative-positive bipolar pulse 700.

(40) FIGS. 8A8B show a positive-negative bipolar pulse used as a wideband reference signal and its energy spectrum for a fourth embodiment according to the present invention. The wideband reference signal V.sub.r(t) of positive-negative bipolar pulse 800 is adopted in the fourth embodiment, and an energy spectrum of wideband reference signal

(41) $\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^2$
of positive-negative bipolar pulse 804 is obtained, in which the function {circumflex over (V)}.sub.r(f) is a Fourier Transform of the wideband reference signal V.sub.r(t) of positive-negative bipolar pulse 800.

(42) FIG. 9A shows a typical energy spectrum of wideband reference signal based on a bipolar pulse signal for the third and fourth embodiments according to the present invention. The lower bound frequency (f.sub.1) and upper bound frequency (f.sub.4) of the energy spectrum of wideband reference signal 704, 804 are frequencies where the energy spectrum density drops down to a certain decibel value (e.g., 6 dB) relative to its maximum located at between (f.sub.1) and (f.sub.4), respectively.

(43) FIG. 9B shows a typical frequency response for an acoustic transducer in the third and fourth embodiments according to the present invention. A maximum frequency response for the acoustic transducer is usually at its central frequency or resonant frequency. The upper bound frequency (f.sub.3) and lower bound frequency (f.sub.2) for the frequency response of acoustic transducer 900 are frequencies where the frequency response drops down to a certain decibel value (e.g., 6 dB) relative to its maximum response located at between (f.sub.2) and (f.sub.3), respectively.

(44) To assure a good signal-to-noise ratio for the measurement in the third and fourth embodiments, the requirement is that the upper bound frequency (f.sub.4) of the energy spectrum of wideband reference signal 704, 804 is greater than the upper bound frequency (f.sub.3) of the frequency response of the acoustic transducer 900 and the lower bound frequency (f.sub.1) of the energy spectrum of wideband reference signal 704, 804 is smaller than the lower bound frequency (f.sub.2) of the frequency response of the acoustic transducer 900; that is, f.sub.4>f.sub.3>f.sub.2>f.sub.1, according to the present invention.

(45) FIG. 10A shows a measuring arrangement for a wideband reference signal according to the present invention. An external 50-ohm load is electrically coupled to a pulse generator of 50-ohm source impedance 1000 that generates unipolar pulse and bipolar pulse to obtain a wideband reference signal V.sub.r(t) 400, 500, 700, 800 on the 50-ohm load.

(46) FIG. 10B shows a measuring arrangement for an acoustic probe according to the present invention. The pulse generator of 50-ohm source impedance 1000 electrically couples to an acoustic probe 113 for measuring the wideband characteristics of an acoustic transducer 117. The acoustic probe 113 is immersed into a water bath 208 with an acoustic mirror 212. The acoustic probe 113 is aligned so that the acoustic wave is normally incident to and reflected from the acoustic mirror 212. An acoustic transducer 117 in the acoustic probe 113 is driven by the pulse generator of 50-ohm source impedance 1000 and transmit a wideband acoustic wave toward the acoustic mirror 212. The transmitted wideband acoustic wave 1004 travels and reaches the acoustic mirror 212 in the water bath 208 and is reflected backward to the acoustic transducer 117. The acoustic transducer 117 receives the reflected wideband acoustic wave 1008 and outputs a wideband echo signal V.sub.e(t) 1100, 1200, 1300, 1400.

(47) FIG. 11A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a negative-going unipolar pulse for a first embodiment. The wideband reference signal V.sub.t(t) of negative-going unipolar pulse 400 is adopted in the first embodiment and a function {circumflex over (V)}.sub.r(f), that is a Fourier Transform of the wideband reference signal V.sub.r(t) of negative-going unipolar pulse 400, is obtained. Meanwhile, an energy of reference signal (E.sub.r) for wideband reference signal V.sub.r(t) of negative-going unipolar pulse 400 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband reference signal; that is,

(48) $E_r=\frac{1}{50}{V_r\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^{2}df.$

(49) FIG. 11B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the negative-going unipolar pulse for the first embodiment. A wideband echo signal V.sub.e(t) based on negative-going unipolar pulse 1100 is obtained in the first embodiment and a function {circumflex over (V)}.sub.e(f), that is a Fourier Transform of the wideband echo signal V.sub.e(t) based on negative-going unipolar pulse 1100, is further obtained. Meanwhile, an energy of echo signal (E.sub.e) for wideband echo signal V.sub.e(t) based on negative-going unipolar pulse 1100 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband echo signal; that is,

(50) $E_e=\frac{1}{50}{V_e\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_e\left(f\right).Math.}^{2}df.$

(51) FIG. 12A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a positive-going unipolar pulse for a second embodiment. The wideband reference signal V.sub.r(t) of positive-going unipolar pulse 500 is adopted in the second embodiment and a function {circumflex over (V)}.sub.r(f), that is a Fourier Transform of the wideband reference signal V.sub.r(t) of positive-going unipolar pulse 500, is obtained. Meanwhile, an energy of reference signal (E.sub.r) for wideband reference signal V.sub.r(t) of positive-going unipolar pulse 500 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband reference signal; that is,

(52) $E_r=\frac{1}{50}{V_r\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^{2}df.$

(53) FIG. 12B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the positive-going unipolar pulse for the second embodiment. A wideband echo signal V.sub.e(t) based on positive-going unipolar pulse 1200 is obtained in the second embodiment and a function {circumflex over (V)}.sub.e(f), that is a Fourier Transform of the wideband echo signal V.sub.e(t) based on positive-going unipolar pulse 1200, is further obtained. Meanwhile, an energy of echo signal (E.sub.e) for wideband echo signal V.sub.e(t) based on positive-going unipolar pulse 1200 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband echo signal; that is,

(54) $E_e=\frac{1}{50}{V_e\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_e\left(f\right).Math.}^{2}df.$

(55) FIG. 13A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a first bipolar pulse for a third embodiment. The wideband reference signal V.sub.r(t) of negative-positive bipolar pulse 700 is adopted in the third embodiment and a function {circumflex over (V)}.sub.r(f), that is a Fourier Transform of the wideband reference signal V.sub.r(t) of negative-positive bipolar pulse 700, is obtained. Meanwhile, an energy of reference signal (E.sub.r) for wideband reference signal V.sub.r(t) of negative-positive bipolar pulse 700 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband reference signal; that is,

(56) 0$E_r=\frac{1}{50}{V_r\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^{2}df.$

(57) FIG. 13B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the first bipolar pulse for the third embodiment. A wideband echo signal V.sub.e(t) based on negative-positive bipolar pulse 1300 is obtained in the third embodiment and a function {circumflex over (V)}.sub.e(f), that is a Fourier Transform of the wideband echo signal V.sub.e(t) based on negative-positive bipolar pulse 1300, is further obtained. Meanwhile, an energy of echo signal (E.sub.e) for wideband echo signal V.sub.e(t) based on negative-positive bipolar pulse 1300 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband echo signal; that is,

(58) $E_e=\frac{1}{50}{V_e\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_e\left(f\right).Math.}^{2}df.$

(59) FIG. 14A shows an electrical waveform of a wideband reference signal and its Fourier Transform according to the present invention based on a second bipolar pulse for a fourth embodiment. The wideband reference signal V.sub.r(t) of positive-negative bipolar pulse 800 is adopted in the fourth embodiment and a function {circumflex over (V)}.sub.r(f), that is a Fourier Transform of the wideband reference signal V.sub.r(t) of positive-negative bipolar pulse 800, is obtained. Meanwhile, an energy of reference signal (E.sub.r) for wideband reference signal V.sub.r(t) of positive-negative bipolar pulse 800 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband reference signal; that is,

(60) $E_r=\frac{1}{50}{V_r\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^{2}df.$

(61) FIG. 14B shows an electrical waveform of a wideband echo signal and its Fourier Transform according to the present invention based on the second bipolar pulse for the fourth embodiment. A wideband echo signal V.sub.e(t) based on positive-negative bipolar pulse 1400 is obtained in the fourth embodiment and a function {circumflex over (V)}.sub.e(f), that is a Fourier Transform of the wideband echo signal V.sub.e(t) based on positive-negative bipolar pulse 1400, is further obtained. Meanwhile, an energy of echo signal (E.sub.e) for wideband echo signal V.sub.e(t) based on positive-negative bipolar pulse 1400 is calculated as one of a time-integral of the power of wideband reference signal and a frequency-integral of the energy spectrum density of wideband echo signal; that is,

(62) $E_e=\frac{1}{50}{V_e\left(t\right)}^{2}dt=\frac{1}{50}{.Math.{\hat{V}}_e\left(f\right).Math.}^{2}df.$

(63) A normalized loop frequency response {circumflex over (X)}(f) for the acoustic transducer is defined as a ratio of the function {circumflex over (V)}.sub.e(f) which is a Fourier Transform of the wideband echo signal V.sub.e(t) to the function {circumflex over (V)}.sub.r(f) which is a Fourier Transform of the wideband reference signal V.sub.r(t); that is,

(64) $\hat{X}\left(f\right)\stackrel{\mathrm{def}}{=}\frac{{\hat{V}}_e\left(f\right)}{{\hat{V}}_r\left(f\right)},$
according to the present invention.

(65) A normalized loop time response X(t) for the acoustic transducer is defined as an Inverse Fourier Transform of the normalized loop frequency response {circumflex over (X)}(f); that is,

(66) X(t) Inverse Fourier Transform of the {circumflex over (X)}(f),

(67) according to the present invention.

(68) An optimum drive signal B(t) for an acoustic transducer is defined as B(t)*G(t), wherein a coefficient is determined to multiply a function G(t); and, the function G(t) is derived from one of the normalized loop time response X(t) and the normalized loop frequency response {circumflex over (X)}(f), according to the present invention.

(69) The function G(t) is obtained as a self-deconvolution of the normalized loop time response X(t); that is,

(70) G(t)=self-deconvolution of the X(t),

(71) according to the present invention.

(72) As well, the function G(t) is calculated as an Inverse Fourier Transform of a square root of the normalized loop frequency response {circumflex over (X)}(f), that is,

(73) G(t)=Inverse Fourier Transform of the {square root over ({circumflex over (X)}(f))},

(74) according to the present invention.

(75) FIG. 15 shows a flow chart for determining an optimum drive signal for an acoustic transducer according to the present invention.

(76) The measuring step for defining a normalized loop frequency response {circumflex over (X)}(f) and a normalized loop time response X(t) comprises: preparing a pulse generator and a signal processing unit; generating a pulse to create a wideband signal as a reference signal; obtaining a wideband reference signal V.sub.r(t); obtaining a function {circumflex over (V)}.sub.r(f) that is a Fourier Transform of the wideband reference signal V.sub.r(t); storing the function {circumflex over (V)}(f) that is a Fourier Transform of the wideband reference signal V.sub.r(t) in one of a firmware and a program memory; coupling the pulse generator and the signal processing unit to an acoustic transducer; generating a wideband acoustic wave from the acoustic transducer; obtaining a wideband echo signal V.sub.e(t) after the acoustic wave being reflected from an acoustic mirror; obtaining a function {circumflex over (V)}.sub.e(f) that is a Fourier Transform of the wideband echo signal V.sub.e(t); defining a normalized loop frequency response {circumflex over (X)}(f) as follows:
{circumflex over (X)}(f){circumflex over (V)}.sub.e(f)/{circumflex over (V)}.sub.r(f); defining a normalized loop time response X(t) as follows:

(77) X(t) Inverse Fourier Transform of the {circumflex over (X)}(f); and storing the normalized loop frequency response {circumflex over (X)}(f) and the normalized loop time response X(t) in one of the firmware and the program memory.

(78) The pulse is one of a unipolar pulse and a bipolar pulse. The unipolar pulse is one of a negative-going pulse 400 and a positive-going pulse 500. The bipolar pulse is one of a negative-positive bipolar pulse 700 and a positive-negative bipolar pulse 800.

(79) The measuring step for obtaining a function G(t) from one of the normalized loop frequency response {circumflex over (X)}(f) and the normalized loop time response X(t) comprises: calculating a function G(t) as an Inverse Fourier Transform of a square root of the normalized loop frequency response {circumflex over (X)}(f): G(t)=Inverse Fourier Transform of the {square root over ({circumflex over (X)}(f))}; obtaining a function G(t) as a self-deconvolution of the normalized loop time response X(t): G(t)=self-deconvolution of the X(t); and storing the function G(t) in one of the firmware and the program memory.

(80) The measuring step for determining an optimum drive signal B(t) for the acoustic transducer comprises: obtaining the function G(t); defining a drive signal B(t) for the acoustic transducer as follows:
B(t)*G(t), wherein a coefficient is determined to multiply the function G(t); storing the drive signal B(t) in one of the firmware and the program memory; and storing the drive signal B(t) in a programmable waveform generator, wherein the drive signal B(t) is an optimum drive signal on energy efficiency basis for the acoustic transducer.

(81) An example of measuring a normalized loop time response X(t) and determining an optimum drive signal B(t) for an acoustic transducer in an acoustic probe was performed according to the present invention, and the results are shown in FIG. 16. FIG. 16A shows a measured normalized loop time response for a given acoustic transducer, and FIG. 16B shows an optimum drive signal based on the measured normalized loop time response for the given acoustic transducer.

(82) The acoustic transducer under test in the example is in a transducer array of a commercial acoustic probe containing one hundred and ninety-two (192) acoustic transducers. The central frequency and bandwidth of the transducer are 7.3 MHz and 80%, respectively. In the measurement, a negative-going unipolar pulse with an amplitude of 75 volts and an upper bound frequency of 55 MHz was adopted as a wideband reference signal. The distance between the acoustic transducer and acoustic mirror is 20 mm. And, the material of the acoustic mirror is stainless-steel with an acoustic reflection coefficient of 0.93 in a water bath.

(83) FIG. 17 shows a system for determining and generating an optimum drive signal for an acoustic transducer in an acoustic probe according to the present invention.

(84) The system 1700 comprises a pulse generator 1701, a programmable waveform generator 1703, a signal processing unit 1702, a transducer selector 1704, and a control unit 1706. The control unit 1706 further comprises a firmware 1707, a program memory 1708, and a storage 1709.

(85) The control unit 1706 is electrically coupled to the pulse generator 1701, to the programmable waveform generator 1703, to the signal processing unit 1702, and to external output devices 1730.

(86) The pulse generator 1701 is electrically coupled to an acoustic transducer through the transducer selector 1704 for generating a pulse to create a wideband acoustic wave from the acoustic transducer. The pulse is one of a unipolar pulse and a bipolar pulse. The unipolar pulse is one of a negative-going pulse 400 and a positive-going pulse 500. The bipolar pulse is one of a negative-positive bipolar pulse 700 and a positive-negative bipolar pulse 800.

(87) The reflected wideband echo wave is received by the acoustic transducer through the transducer selector 1704 to the signal processing unit 1702 for further processing. The transducer selector 1704 sequentially or randomly selects one transducer of a transducer array in an acoustic probe 113.

(88) The measuring method for obtaining the normalized loop frequency response {circumflex over (X)}(f) and normalized loop time response X(t) is embedded in one of the firmware 1707 and the program memory 1708 according to the present invention.

(89) The measuring method for obtaining the function G(t) from normalized loop frequency response {circumflex over (X)}(f) is embedded in one of the firmware 1707 and the program memory 1708 according to the present invention.

(90) The measuring method for obtaining the function G(t) from the normalized loop frequency response {circumflex over (X)}(f) is embedded in one of the firmware 1707 and the program memory 1708 according to the present invention.

(91) The measuring method for determining the optimum drive signal B(t) for the acoustic transducer is embedded in one of the firmware 1707 and the program memory 1708 according to the present invention. The optimum drive signal B(t) is further stored in the programmable waveform generator 1703 for generating an optimum drive signal for driving the acoustic transducer according to the present invention.

(92) All data of measurement are stored in the storage 1709 and output to the output devices 1730 according to the present invention.

(93) While several embodiments have been described by way of example, it will be apparent to those skilled in the art that various modifications may be configured without departing from the spirit of the present invention. Such modifications are all within the scope of the present invention, as defined by the appended claims.

(94) TABLE-US-00001 Numerical system 113 acoustic probe 117A transducer array 117 acoustic transducer 200 sine burst generator 204 reference signal 208 water bath 212 acoustic mirror 214 transmitted acoustic sine burst wave 218 reflected sine burst wave 224 echo signal 400 wideband reference signal of negative-going unipolar pulse 404 energy spectrum of wideband reference signal of negative-going unipolar pulse 500 wideband reference signal of positive-going unipolar pulse 504 energy spectrum of wideband reference signal of positive-going unipolar pulse 600 frequency response of acoustic transducer 700 wideband reference signal of negative-positive bipolar pulse 704 energy spectrum of wideband reference signal of negative-positive bipolar pulse 800 wideband reference signal of positive-negative bipolar pulse 804 energy spectrum of wideband reference signal of positive-negative bipolar pulse 900 frequency response of acoustic transducer 1000 pulse generator 1004 transmitted wideband acoustic wave 1008 reflected wideband acoustic wave 1100 wideband echo signal based on negative-going unipolar pulse 1200 wideband echo signal based on positive-going unipolar pulse 1300 wideband echo signal based on negative-positive bipolar pulse 1400 wideband echo signal based on positive-negative bipolar pulse 1608 optimum drive signal 1700 system 1701 pulse generator 1702 signal processing unit 1703 programmable waveform generator 1704 transducer selector 1706 control unit 1707 firmware 1708 program memory 1709 storage 1730 output devices

NOTATION

Reference Signal

(95) TABLE-US-00002 (V.sub.ppr) peak-to-peak voltage of reference signal (E.sub.r) energy of reference signal; $E_r=\frac{1}{50}{V_r\left(t\right)}^2\mathrm{dt}=\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^2\mathrm{df}$ (BW.sub.r) bandwidth of reference signal; (D.sub.r) $\mathrm{energy}\mathrm{density}\mathrm{of}\mathrm{reference}\mathrm{signal};D_r=\frac{E_r}{{\mathrm{BW}}_r}$ V.sub.r(t) wideband reference signal; {circumflex over (V)}.sub.r(f) Fourier Transform of the wideband reference signal V.sub.r(t); $\frac{1}{50}{.Math.{\hat{V}}_r\left(f\right).Math.}^2$ energy spectrum of wideband reference signal;
Echo Signal

(96) TABLE-US-00003 (V.sub.ppe) peak-to-peak voltage of echo signal; (E.sub.e) $\mathrm{energy}\mathrm{of}\mathrm{echo}\mathrm{signal};E_e=\frac{1}{50}{V_e\left(t\right)}^2\mathrm{dt}=\frac{1}{50}{.Math.{\hat{V}}_e\left(f\right).Math.}^2\mathrm{df}$ (BW.sub.e) bandwidth of echo signal; (D.sub.e) $\mathrm{energy}\mathrm{density}\mathrm{of}\mathrm{echo}\mathrm{signal};D_e=\frac{E_e}{{\mathrm{BW}}_e}$ V.sub.e(t) wideband echo signal; {circumflex over (V)}.sub.e(f) Fourier Transform of the wideband echo signal V.sub.e(t); 0$\frac{1}{50}{.Math.{\hat{V}}_e\left(f\right).Math.}^2$ energy spectrum of wideband echo signal;

Definition

(97) TABLE-US-00004 {circumflex over (X)}(f) $\mathrm{normalized}\mathrm{loop}\mathrm{frequency}\mathrm{response}$$\hat{X}\left(f\right)\stackrel{\mathrm{def}}{=}\frac{{\hat{V}}_e\left(f\right)}{{\hat{V}}_r\left(f\right)};\hat{X}\left(f\right)\stackrel{\mathrm{def}}{=}{\hat{V}}_e\left(f\right)\text{/}{\hat{V}}_r\left(f\right);$ {circumflex over (V)}.sub.e(f)/{circumflex over (V)}.sub.r(f); X(t) normalized loop time response; Inverse Fourier Transform of the {circumflex over (X)}(f) $X\left(t\right)\stackrel{\mathrm{def}}{=}\mathrm{Inverse}\mathrm{Fourier}\mathrm{Transform}\mathrm{of}\mathrm{the}\hat{X}\left(f\right)$ S.sub.L(f) wideband loop sensitivity is defined as an absolute square of the {circumflex over (X)}(f) in $\mathrm{decibel};S_L\left(f\right)\stackrel{\mathrm{def}}{=}10\log {.Math.\hat{X}\left(f\right).Math.}^2$ (S.sub.LC) $\mathrm{characteristic}\mathrm{loop}\mathrm{sensitivity}{S}_{\mathrm{LC}}\stackrel{\mathrm{def}}{=}10\log \left(\frac{D_e}{D_r}\right)$ G(t) $\mathrm{Inverse}\mathrm{Fourier}\mathrm{Transform}\mathrm{of}\mathrm{the}\sqrt{\hat{X}\left(f\right)};$ $G\left(t\right)=\mathrm{Inverse}\mathrm{Fourier}\mathrm{Transform}\mathrm{of}\mathrm{the}\sqrt{\hat{X}\left(f\right)}$ self-deconvolution of the X(t); G(t) = Self-deconvolution of the X(t) B(t) an optimum drive signal on energy efficiency basis for the acoustic transducer; $\begin{array}{c}B\left(t\right)\stackrel{\mathrm{def}}{=}*G\left(t\right),\mathrm{wherein}a\mathrm{coefficient}\mathrm{is}\mathrm{determined}\mathrm{to}\\ \mathrm{multiply}\mathrm{the}\mathrm{function}G\left(t\right).\end{array}$