CN111965653A - Distance measurement method and system based on linear sweep frequency sound wave - Google Patents

Distance measurement method and system based on linear sweep frequency sound wave Download PDF

Info

Publication number
CN111965653A
CN111965653A CN202010671957.4A CN202010671957A CN111965653A CN 111965653 A CN111965653 A CN 111965653A CN 202010671957 A CN202010671957 A CN 202010671957A CN 111965653 A CN111965653 A CN 111965653A
Authority
CN
China
Prior art keywords
signal
frequency
distance
sweep frequency
signals
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN202010671957.4A
Other languages
Chinese (zh)
Inventor
田思思
郭鹏
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Huazhong University of Science and Technology
Original Assignee
Huazhong University of Science and Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Huazhong University of Science and Technology filed Critical Huazhong University of Science and Technology
Priority to CN202010671957.4A priority Critical patent/CN111965653A/en
Publication of CN111965653A publication Critical patent/CN111965653A/en
Pending legal-status Critical Current

Links

Images

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S15/00Systems using the reflection or reradiation of acoustic waves, e.g. sonar systems
    • G01S15/02Systems using the reflection or reradiation of acoustic waves, e.g. sonar systems using reflection of acoustic waves
    • G01S15/06Systems determining the position data of a target
    • G01S15/08Systems for measuring distance only
    • G01S15/32Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated
    • G01S15/34Systems for measuring distance only using transmission of continuous waves, whether amplitude-, frequency-, or phase-modulated, or unmodulated using transmission of continuous, frequency-modulated waves while heterodyning the received signal, or a signal derived therefrom, with a locally-generated signal related to the contemporaneously transmitted signal

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Acoustics & Sound (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • General Physics & Mathematics (AREA)
  • Measurement Of Velocity Or Position Using Acoustic Or Ultrasonic Waves (AREA)

Abstract

The invention discloses a distance measurement method and system based on linear sweep frequency sound waves, and belongs to the field of sound wave distance measurement. The method comprises the following steps: the generated sweep frequency period is T, and the lower limit of the frequency is fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal; intercepting the received signals with the same time length and performing cross-correlation operation with the reference signals, and acquiring the corresponding position of the peak value as a signal alignment point; framing the received signals by time length T from a signal alignment point, mixing each frame of received signals with reference signals with the same time length, performing low-pass filtering on the mixed signals, and obtaining frequency difference through frequency spectrum analysis; and acquiring the target distance at the current moment by using the relation between the distance and the frequency difference of the target changed in any two frame times. The invention is not affected by the clock inconsistency of the transmitting and receiving ends, and can realize centimeter-level distance measurement on common audio equipment based on the accurate measurement and calculation of the target distance change quantity.

Description

Distance measurement method and system based on linear sweep frequency sound wave
Technical Field
The invention belongs to the field of acoustic ranging, and particularly relates to a ranging method and system based on linear sweep frequency acoustic waves.
Background
The traditional sound wave ranging principle is similar to the radar ranging principle, and the target distance is calculated by measuring the flight time delay of signals in the air, but the method requires the clocks of the signal receiving and transmitting devices to be strictly synchronized. Currently, a commonly applied method is to use a radio frequency signal as an inter-node synchronization signal, and calculate the inter-node distance by measuring the arrival time difference between a sound wave and the radio frequency signal, and in such a method, a custom module must be added to synchronize through a wireless signal, so that additional hardware cost is increased. In addition, with the TDOA technique, which measures the time difference between two nodes reaching a target node to obtain the distance difference between the two nodes and the target node, the TDOA-based ranging method has a lower requirement on time synchronization, but may have a higher requirement on the measurement accuracy of the time difference due to the smaller distance between the nodes.
The frequency of the sweep frequency signal in a single period changes linearly with the change of time, has good autocorrelation and is also commonly used in a radar ranging system. The method generally comprises the steps of carrying out frequency mixing processing on reflected waves and transmitted waves of frequency sweep signals, obtaining beat signals with frequencies in direct proportion to signal flight time delay, and obtaining the frequencies through frequency spectrum analysis so as to calculate target distances. However, the above method still requires that the clocks at the signal transmitting and receiving ends are strictly synchronous, and has certain limitations in application.
Disclosure of Invention
Aiming at the defects of the related art, the invention aims to provide a distance measuring method and system based on linear sweep frequency sound waves, and aims to solve the technical problem that clocks are not synchronous in the existing sound wave distance measuring technology.
In order to achieve the above object, an aspect of the present invention provides a distance measuring method based on linear sweep frequency acoustic waves, including the following steps:
the generated sweep frequency period is T, and the lower limit of the frequency is fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal;
intercepting the received signals with the same time length and performing cross-correlation operation with the reference signals, and acquiring the position corresponding to the peak value of the cross-correlation result as a signal alignment point;
framing the received signal with a time duration T from the signal alignment point, mixing each frame of received signal with the reference signal of the same time duration,after low-pass filtering the mixing signal, obtaining the signal frequency difference through spectrum analysis
Figure BDA0002582412390000021
Wherein n is the current frame number;
and acquiring the target distance at the current moment by utilizing the relation between the distance of the target changed in any two frame times and the signal frequency difference.
Further, the relationship between the distance of the target changing in any two frame times and the signal frequency difference is
Figure BDA0002582412390000022
Wherein R isnIs the target distance, R, at the current time0And
Figure BDA0002582412390000023
respectively, a known initial position and a corresponding signal frequency difference, c is the propagation speed of sound in the air, T is the sweep frequency period, and B is the sweep frequency bandwidth.
Further, the time length of intercepting the received signal is 2T, and T is the sweep frequency period.
Further, the spectral analysis is FFT.
Further, before the received signal is intercepted, a butterworth filter is used for filtering the received signal, and normalization processing is performed.
According to another aspect of the present invention, there is provided a linear swept acoustic wave based ranging system comprising
A generating unit for generating a sweep frequency with a sweep period of T and a lower frequency limit of fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal;
the pseudo-synchronization unit intercepts the received signals with the same time length and performs cross-correlation operation with the reference signals, and acquires the position corresponding to the peak value of the cross-correlation result as a signal alignment point;
a frequency difference obtaining unit for framing the received signals with a time length T from the signal alignment point, mixing each frame of the received signals with the reference signals with the same time length, low-pass filtering the mixed signals, and obtaining the signal frequency difference through spectrum analysis
Figure BDA0002582412390000031
Wherein n is the current frame number;
and the distance acquisition unit is used for acquiring the target distance at the current moment by utilizing the relation between the distance of the target changed in any two frame times and the signal frequency difference.
Further, in the distance obtaining unit, the relationship between the distance of the target changing in any two frame times and the signal frequency difference is
Figure BDA0002582412390000032
Wherein R isnIs the target distance, R, at the current time0And
Figure BDA0002582412390000033
respectively, a known initial position and a corresponding signal frequency difference, c is the propagation speed of sound in the air, T is the sweep frequency period, and B is the sweep frequency bandwidth.
Further, in the pseudo synchronization unit, the time length for intercepting the received signal is 2T, where T is the frequency sweep period.
Further, the spectral analysis is FFT.
Further, before the pseudo-synchronization unit intercepts the received signal, the received signal is filtered by using a butterworth filter and normalized.
Compared with the prior art, the technical scheme of the invention does not need to use other wireless signals to carry out clock synchronization, but utilizes the correlation of the frequency sweep signals to carry out pseudo synchronization on the received signals, thereby obtaining the target change distance in each frequency sweep period, and obtaining the absolute distance of the target relative to the transmitting end at any moment by obtaining the initial reference distance. The invention is not affected by the clock inconsistency of the transmitting and receiving ends, can realize centimeter-level distance measurement on common audio equipment based on the accurate measurement and calculation of the target distance change quantity, and the measurement range can meet the measurement requirement of common indoor scenes.
Drawings
FIG. 1 is a schematic diagram of the basic principle of an embodiment of the present invention;
fig. 2 is a schematic diagram of the relationship between the transmission signal, the reference signal and the difference frequency signal in the embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
In order to achieve the above object, an embodiment of the present invention provides a distance measurement method based on linear sweep frequency acoustic waves, including the following steps:
the generated sweep frequency period is T, and the lower limit of the frequency is fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal;
intercepting the received signals with the same time length and performing cross-correlation operation with the reference signals, and acquiring the position corresponding to the peak value of the cross-correlation result as a signal alignment point;
framing the received signals by time length T from the signal alignment point, mixing each frame of received signals with the reference signals with the same time length, low-pass filtering the mixed signals, and obtaining signal frequency difference through spectrum analysis
Figure BDA0002582412390000041
Wherein n isThe current frame number;
and acquiring the target distance at the current moment by utilizing the relation between the distance of the target changed in any two frame times and the signal frequency difference.
Further, the relationship between the distance of the target changing in any two frame times and the signal frequency difference is
Figure BDA0002582412390000042
Wherein R isnIs the target distance, R, at the current time0And
Figure BDA0002582412390000043
respectively, a known initial position and a corresponding signal frequency difference, c is the propagation speed of sound in the air, T is the sweep frequency period, and B is the sweep frequency bandwidth.
Further, the time length of intercepting the received signal is 2T, and T is the sweep frequency period.
Further, the spectral analysis is FFT.
Further, before the received signal is intercepted, a butterworth filter is used for filtering the received signal, and normalization processing is performed.
The principles of the above embodiments are described below:
the generated sweep frequency period is T, the sweep frequency bandwidth is B (the lower limit of frequency is f)minUpper limit of frequency fmax) The linear frequency modulation continuous wave is used as a transmitting signal; a linear swept frequency signal with only two consecutive periods is generated with the same parameters as a reference signal, as shown in fig. 1. The time when the receiving end receives the signal is taken as the starting point of the time shaft, and 0, 2T is intercepted]Performing cross correlation on the received signal in the interval and a reference signal, finding a corresponding point on a time axis according to a corresponding position of a cross correlation peak value, and taking the point as a received signal alignment point (shown in figure 2), thereby completing signal pseudo-synchronization;
the signal is framed with a duration T starting from the signal alignment point,mixing each frame signal with a monocycle reference signal, performing low-pass filtering on the mixed signal, and acquiring a signal frequency difference by using FFT (fast Fourier transform)
Figure BDA0002582412390000051
Where n is the current frame number, as shown in FIG. 2. According to the relation between the distance of the target changing in any two frame time and the signal frequency difference
Figure BDA0002582412390000052
Calculating the linear distance R of the target at the current momentnWherein R is0And
Figure BDA0002582412390000053
respectively, the known initial position and the corresponding signal frequency difference, c is the speed of sound propagation in air.
Just as the time of transmission of the signal is unknown to the receiving end, a reference signal is constructed locally at the receiving end, which differs from the actual transmitted signal by an unknown fixed time t0. The distance corresponding to any time is
Figure BDA0002582412390000054
Further can obtain
Figure BDA0002582412390000055
Figure BDA0002582412390000056
The contents of the above embodiments will be described with reference to a preferred embodiment.
Example one
Loudspeaker with FsThe sampling frequency of 44.1KHz generates a linear sweep frequency (chirp) signal with a frequency range of 14.5KHz-17KHz (sweep frequency bandwidth B of 2.5KHz) and a period T of 40ms, and the total duration is 2 minutes, so as to serve as a transmission signal.
The receiving equipment with the audio sampling frequency of 44.1KHz is adopted and is arranged at a determined distance R away from the signal transmitting end0In the position of (a). After the speaker transmits the signal, the receiving apparatus starts receiving the signal and stands still for 5s at the initial position. Then, the straight line distance of the opposite signal transmitting ends is changed until the signal acquisition is finished.
The distance measuring method comprises the following steps:
step one, filtering a received signal by using a Butterworth filter, and performing normalization processing;
intercepting the front 3528 sampling points (signals with the length of 2 periods) of the received signal, locally generating linear sweep frequency signals with the same length as reference signals, performing cross-correlation operation on the linear sweep frequency signals and the reference signals, and finding out signal alignment points according to the positions corresponding to cross-correlation peak values;
and thirdly, framing the received signal from the signal alignment point, wherein the length of a frame of signal is the same as the period of the chirp signal, and each frame of signal comprises 1764 sampling points. Mixing each frame of received signal with single-period standard chirp signal, low-pass filtering, removing DC component, and using FFT to obtain signal frequency difference
Figure BDA0002582412390000061
(n is the current frame number);
step four, obtaining the initial distance R0And the frequency difference of the original signal
Figure BDA0002582412390000062
On the basis of a formula
Figure BDA0002582412390000063
Figure BDA0002582412390000064
The distance R of the relative transmitting end at any subsequent time can be obtainedn. Wherein an initial distance R is obtained0And the frequency difference of the original signal
Figure BDA0002582412390000065
The method of (a) may be various methods known in the art and will not be described in detail herein.
The results of one test of this example are as follows:
true distance/m 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
Estimate distance/m 0.50 0.99 1.48 1.98 2.50 3.01 3.51 4.02 4.51 5.03
As can be seen from the above table, the error of the ranging method based on the linear sweep acoustic wave is only within 3 cm.
In another aspect, an embodiment of the present invention provides a distance measurement system based on linear swept-frequency acoustic waves, including
A generating unit for generating a sweep frequency with a sweep period of T and a lower frequency limit of fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal;
the pseudo-synchronization unit intercepts the received signals with the same time length and performs cross-correlation operation with the reference signals, and acquires the position corresponding to the peak value of the cross-correlation result as a signal alignment point;
a frequency difference obtaining unit for framing the received signals with a time length T from the signal alignment point, mixing each frame of the received signals with the reference signals with the same time length, low-pass filtering the mixed signals, and obtaining the signal frequency difference through spectrum analysis
Figure BDA0002582412390000071
Wherein n is the current frame number;
and the distance acquisition unit is used for acquiring the target distance at the current moment by utilizing the relation between the distance of the target changed in any two frame times and the signal frequency difference.
The functions of each unit can be referred to the description of the foregoing method embodiments, and are not described herein again.
It will be understood by those skilled in the art that the foregoing is only a preferred embodiment of the present invention, and is not intended to limit the invention, and that any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (10)

1. A distance measurement method based on linear sweep frequency sound waves is characterized by comprising the following steps:
the generated sweep frequency period is T, and the lower limit of the frequency is fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal;
intercepting the received signals with the same time length and performing cross-correlation operation with the reference signals, and acquiring the position corresponding to the peak value of the cross-correlation result as a signal alignment point;
framing the received signals by time length T from the signal alignment point, mixing each frame of received signals with the reference signals with the same time length, low-pass filtering the mixed signals, and obtaining signal frequency difference through spectrum analysis
Figure FDA0002582412380000011
Wherein n is the current frame number;
and acquiring the target distance at the current moment by utilizing the relation between the distance of the target changed in any two frame times and the signal frequency difference.
2. The ranging method of claim 1, wherein the relationship between the distance of the target changing in any two frame times and the signal frequency difference is
Figure FDA0002582412380000012
Wherein R isnIs the target distance, R, at the current time0And
Figure FDA0002582412380000013
respectively, a known initial position and a corresponding signal frequency difference, c is the propagation speed of sound in the air, T is the sweep frequency period, and B is the sweep frequency bandwidth.
3. The ranging method according to claim 1 or 2, wherein the duration of intercepting the received signal is 2T, T being the sweep period.
4. A ranging method according to claim 1 or 2, characterized in that the spectral analysis is FFT.
5. A ranging method as claimed in claim 1 or 2, characterized in that the received signal is filtered using a butterworth filter and normalized before being intercepted.
6. A distance measuring system based on linear sweep frequency sound wave is characterized by comprising
A generating unit for generating a sweep frequency with a sweep period of T and a lower frequency limit of fminAnd an upper frequency limit of fmaxThe linear sweep frequency sound wave is used as a transmitting signal, and a section of linear sweep frequency signal is generated by using the same sweep frequency parameters and is used as a reference signal;
the pseudo-synchronization unit intercepts the received signals with the same time length and performs cross-correlation operation with the reference signals, and acquires the position corresponding to the peak value of the cross-correlation result as a signal alignment point;
a frequency difference obtaining unit for framing the received signals with a time length T from the signal alignment point, mixing each frame of the received signals with the reference signals with the same time length, low-pass filtering the mixed signals, and obtaining the signal frequency difference through spectrum analysis
Figure FDA0002582412380000021
Wherein n is the current frame number;
and the distance acquisition unit is used for acquiring the target distance at the current moment by utilizing the relation between the distance of the target changed in any two frame times and the signal frequency difference.
7. The ranging system according to claim 6, wherein the distance obtaining unit obtains the relationship between the distance of the target changing in any two frame times and the signal frequency difference as
Figure FDA0002582412380000022
Wherein R isnIs the target distance, R, at the current time0And
Figure FDA0002582412380000023
respectively, a known initial position and a corresponding signal frequency difference, c is the propagation speed of sound in the air, T is the sweep frequency period, and B is the sweep frequency bandwidth.
8. The ranging system according to claim 6 or 7, wherein the pseudo-synchronization unit intercepts the received signal for a duration of 2T, T being the sweep period.
9. The ranging system according to claim 6 or 7, wherein the spectral analysis is an FFT.
10. The ranging system according to claim 6 or 7, wherein the pseudo-synchronization unit filters the received signal using a butterworth filter and performs normalization processing before truncating the received signal.
CN202010671957.4A 2020-07-13 2020-07-13 Distance measurement method and system based on linear sweep frequency sound wave Pending CN111965653A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202010671957.4A CN111965653A (en) 2020-07-13 2020-07-13 Distance measurement method and system based on linear sweep frequency sound wave

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202010671957.4A CN111965653A (en) 2020-07-13 2020-07-13 Distance measurement method and system based on linear sweep frequency sound wave

Publications (1)

Publication Number Publication Date
CN111965653A true CN111965653A (en) 2020-11-20

Family

ID=73361954

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202010671957.4A Pending CN111965653A (en) 2020-07-13 2020-07-13 Distance measurement method and system based on linear sweep frequency sound wave

Country Status (1)

Country Link
CN (1) CN111965653A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2024106106A1 (en) * 2022-11-14 2024-05-23 株式会社デンソー Object detecting device

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105301594A (en) * 2014-07-25 2016-02-03 恩智浦有限公司 Distance measurement
US20170212235A1 (en) * 2016-01-25 2017-07-27 Board Of Regents, The University Of Texas System Device-free tracking system that accurately tracks hand movement
CN107015230A (en) * 2017-03-15 2017-08-04 中国人民解放军63655部队 A kind of ultrasonic ranging method
CN107928674A (en) * 2017-12-12 2018-04-20 北京大学(天津滨海)新代信息技术研究院 A kind of contactless breathing detection method based on sound ranging

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN105301594A (en) * 2014-07-25 2016-02-03 恩智浦有限公司 Distance measurement
US20170212235A1 (en) * 2016-01-25 2017-07-27 Board Of Regents, The University Of Texas System Device-free tracking system that accurately tracks hand movement
CN107015230A (en) * 2017-03-15 2017-08-04 中国人民解放军63655部队 A kind of ultrasonic ranging method
CN107928674A (en) * 2017-12-12 2018-04-20 北京大学(天津滨海)新代信息技术研究院 A kind of contactless breathing detection method based on sound ranging

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
《国际电子爱好者》编辑组: "《国际电子爱好者》", 知识出版社, pages: 2 *

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2024106106A1 (en) * 2022-11-14 2024-05-23 株式会社デンソー Object detecting device

Similar Documents

Publication Publication Date Title
US11057862B2 (en) Wi-Fi radar detection using synchronized wireless access point
US11632226B1 (en) Frequency and gain calibration for time synchronization in a network
CN107607934B (en) time difference, frequency difference and frequency difference change rate joint estimation method
CN105277921B (en) A kind of passive acoustic localization method based on smart mobile phone
CN109633574B (en) Wide-range high-precision Doppler measurement method for deep space exploration
CN106226738B (en) Mobile device near field distance-measuring and positioning method based on acoustics
CN101685153B (en) Microphone space measuring method and device
CN102455421B (en) Sound positioning system and method without time synchronization
CN106656889A (en) Ultra wideband indoor positioning method based on frequency modulation continuous waves
CN108169752A (en) A kind of ultrasonic ranging method and system based on wireless communication
CN111965653A (en) Distance measurement method and system based on linear sweep frequency sound wave
Sark et al. Achieving millimeter precision distance estimation using two-way ranging in the 60 GHz band
Cyganski et al. A multi-carrier technique for precision geolocation for indoor/multipath environments
CN111551180B (en) Smart phone indoor positioning system and method capable of identifying LOS/NLOS acoustic signals
CN105510904B (en) Distance-finding method based on the summation of multifrequency audible wave amplitude
KR20150066311A (en) Sonar system and method for precisly performing target detection under circumstance without being known of target speed
Sark et al. An approach for implementation of ranging and positioning methods on a software defined radio
WO2022110385A1 (en) Ranging method, apparatus, system, smart device, and computer-readable storage medium
Nakamura et al. Indoor localization method for a microphone using a single speaker
CN109959921A (en) A kind of acoustical signal method for estimating distance based on Beidou time service
KR101524550B1 (en) Method and Apparatus for a fast Linear Frequency Modulation target detection compensating Doppler effect according to the target speed
Hoppe et al. Acoustic receivers for indoor smartphone localization
Roehr et al. Novel secondary radar for precise distance and velocity measurement in multipath environments
CN108387888B (en) Near-field ultra-wideband ranging method in medium
CN111899749A (en) Noise reduction method for monitoring operation sound of concrete pumping pipeline

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination