WO2022244125A1 - 受信機及び受信方法 - Google Patents
受信機及び受信方法 Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B13/00—Transmission systems characterised by the medium used for transmission, not provided for in groups H04B3/00 - H04B11/00
- H04B13/02—Transmission systems in which the medium consists of the earth or a large mass of water thereon, e.g. earth telegraphy
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B11/00—Transmission systems employing sonic, ultrasonic or infrasonic waves
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
- H04B1/06—Receivers
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
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- the present invention relates to a receiver and a receiving method.
- FIG. 10 is a diagram showing the configuration of a conventional receiver 100.
- receiver 100 includes a plurality of wave receivers 110-1 to 110-n, a plurality of FIR filters 120-1 to 120-n, and combining section .
- n is an integer of 2 or more.
- Wave receivers 110-1 to 110-n receive sound waves coming from the outside.
- Wave receivers 110-1 to 110-n convert the received sound waves into electric signals and output them to FIR filters 120-1 to 120-n.
- the FIR filters 120-1 to 120-n perform FIR filtering on electrical signals of sound waves received by the wave receivers 110-1 to 110-n.
- Synthesizing section 130 synthesizes the electrical signals after FIR filtering. This makes it possible to improve SNR and remove unwanted waves.
- FIG. 11 is a diagram showing the relationship between sound waves arriving from one direction of arrival and impulse responses observed by the wave receivers 110-1 to 110-n. As shown in FIG. 11, path differences occur between the wave receivers 110-1 to 110-n as long as the sound waves do not arrive from the front.
- Fs be the symbol rate of the signal
- ⁇ x be the path difference between the wave receiver 110-1 and the wave receiver 110-2
- c be the propagation speed. It is delayed by Fs ⁇ x/c symbols with respect to the received signal of 110-1.
- the delay of the radio wave is 3.3 ⁇ 10 ⁇ 5 symbols (that is, less than 1 symbol)
- the underwater sound delays 6.7 symbols.
- the symbol rate of radio waves is on the order of GHz or less
- the delay between receivers (antennas) is less than one symbol. Therefore, signal processing such as directional separation can be realized only with a phase shifter.
- a delay of one symbol or more occurs when the symbol rate is on the order of several tens of kHz. Therefore, when applying signal processing at the symbol rate, it is necessary to consider the delay time difference.
- the total number of taps of the filter determines the convergence speed. It slows down and causes poor compensation performance.
- the length of the FIR filter is made shorter than the arrival time difference between the receivers for the purpose of improving the convergence speed and reducing the amount of calculation, some arrival directions cannot be synthesized.
- the BER Bit Error Rate
- an object of the present invention is to provide a technology capable of synthesizing signals received by a wave receiver while suppressing the number of FIR filter taps.
- a plurality of wave receivers for receiving signals arriving from a predetermined direction, a plurality of wave receivers connected to at least part of the plurality of wave receivers, and signals received by the connected wave receivers a plurality of detection units for detecting arrival times; and a plurality of adjustment units for adjusting arrival time differences among the plurality of wave receivers based on the detected arrival times or directions of arrival of the plurality of signals. receiver.
- a signal arriving from a predetermined direction is received, arrival times of at least some of the received signals are detected, and based on the detected arrival times or directions of arrival of a plurality of signals, 2.
- FIG. 3 is a diagram showing the configuration of a receiver in the first embodiment
- FIG. FIG. 4 is a diagram showing an example of a data frame received by the wave receiver in the first embodiment
- FIG. 4 is a flow chart showing the flow of processing of the receiver in the first embodiment
- FIG. 4 is a diagram showing the placement of a wave transmitter and a wave receiver during simulation; It is a figure which shows the simulation result in 1st Embodiment.
- FIG. 10 is a diagram showing the configuration of a receiver in a modified example of the first embodiment;
- FIG. 11 is a diagram for explaining an overview of a method of calculating a deviation from a reference time in the second embodiment
- FIG. FIG. 10 is a diagram showing the configuration of a receiver in the second embodiment
- FIG. 1 is a diagram showing a configuration of a conventional receiver
- FIG. FIG. 4 is a diagram showing the relationship between sound waves arriving from one direction of arrival and impulse responses observed by wave receivers 110-1 to 110-n.
- FIG. 1 is a diagram for explaining the outline of the present invention.
- the difference in arrival time between the wave receivers 11-1 to 11-n is estimated in advance, and based on the estimation result, the difference in the received signal is estimated. to adjust.
- the difference in the arrival time caused by the path difference immediately before the FIR filter is compensated.
- the arrival time difference between the wave receivers 11-1 to 11-n can be apparently eliminated.
- it is possible to synthesize sound waves from all directions of arrival. A configuration for obtaining the above effects will be described below.
- FIG. 2 is a diagram showing the configuration of the receiver 10 in the first embodiment.
- the receiver 10 is a receiver used for underwater acoustic communication.
- the receiver 10 includes a plurality of wave receivers 11-1 to 11-n, a plurality of detectors 12-1 to 12-n, an offset value calculator 13, and a plurality of timing adjusters 14-1 to 14- n, a plurality of FIR filters 15-1 to 15-n, and a synthesizing unit 16.
- the wave receivers 11-1 to 11-n receive sound waves arriving from the outside.
- the wave receivers 11-1 to 11-n receive sound waves arriving from directions with path differences.
- the direction in which the path difference occurs is, for example, a direction other than the front direction of the wave receivers 11-1 to 11-n.
- the wave receivers 11-1 to 11-n convert the received sound waves into electrical signals and output them as received signals to the detectors 12-1 to 12-n.
- the detectors 12-1 to 12-n detect received signals output from the wave receivers 11-1 to 11-n.
- a device on the transmitting side adds a known signal to a data frame as shown in FIG.
- the received signal may be detected by peak detection from .
- a device on the transmitting side may include a repetitive known signal in a data frame and transmit it, and detect a received signal by performing peak detection from the autocorrelation of the received signal in the detectors 12-1 to 12-n.
- the received signals detected by the detectors 12-1 to 12-n are signals from desired arrival directions.
- the detection units 12-1 to 12-n detect the time when the sound waves reach the wave receivers 11-1 to 11-n by detecting known signals included in the received signals.
- the detection units 12-1 to 12-n output the detected time information to the offset value calculation unit 13. FIG.
- the offset value calculation unit 13 calculates the deviation from the reference time based on the difference between the reference time and the arrival time of the received signal detected by each of the detection units 12-1 to 12-n. It is calculated for each received signal detected in n.
- the reference time may be, for example, the time when a sound wave reaches any one of the wave receivers 11-1 to 11-n, or may be a time set in advance by the user of the receiver 10. Any one of the average time, the median value, the latest time, and the earliest time of arrival of sound waves at -1 to 11-n may be used.
- the timing adjustment units 14-1 to 14-n adjust the deviation (for example, advance or delay) of the received signal from the reference time based on the deviation from the reference time for each received signal calculated by the offset value calculation unit 13. adjust.
- adjusting the deviation (advance or delay, for example) of the received signal from the reference time means adjusting so as to reduce the deviation.
- adjusting the deviation (advance or delay, for example) of the received signal from the reference time means adjusting the deviation to be zero.
- the timing adjustment section 14 is one aspect of an adjustment section.
- the FIR filters 15-1 to 15-n receive the received signals adjusted by the timing adjusters 14-1 to 14-n and perform FIR filter processing.
- the FIR filters 15-1 to 15-n may have a configuration in which the filter coefficients are adaptively controlled by an adaptive algorithm such as the RLS method or the LMS method, or the filter coefficients are adjusted based on channel estimation results using pilot signals. may be set.
- the FIR filters 15-1 to 15-n constitute a decision-feedback type feedback filter that receives as input a sequence obtained by symbol-determining the addition result of the outputs of the FIR filters 15-1 to 15-n, and the output result of the feedback filter. may be added or subtracted from the sum of the outputs of the FIR filters 15-1 to 15-n.
- the adaptive algorithm may simultaneously control the filter coefficients of the FIR filters 15-1 to 15-n and the filter coefficients of the feedback filters.
- the synthesizing unit 16 adds the outputs of the FIR filters 15-1 to 15-n. Demodulation processing including symbol determination is performed based on the result of addition by the combining unit 16 .
- FIG. 4 is a flowchart showing the processing flow of the receiver 10 in the first embodiment. In FIG. 4, it is assumed that the data frame shown in FIG. A method for correcting the timing of the received signals received by 11-1 to 11-n will be described.
- the wave receivers 11-1 to 11-n receive data frames (sound waves) arriving from outside (step S101).
- the wave receivers 11-1 to 11-n convert the received data frames (sound waves) into electrical signals and output them as received signals to the detectors 12-1 to 12-n.
- the detectors 12-1 to 12-n detect the known signal added to the head of the received signal output from the wave receivers 11-1 to 11-n, thereby generating a data frame from the wave receiver 11-1.
- 11-n is detected (step S102).
- the detection units 12-1 to 12-n output the detected time information to the offset value calculation unit 13.
- the offset value calculator 13 compares the arrival times of the data frames among the wave receivers 11-1 to 11-n using the time information output from the detectors 12-1 to 12-n.
- the offset value calculator 13 sets the latest arrival time as the reference time (step S103).
- the offset value calculator 13 calculates the wave receiver 11-i (where i is 1, , n), the deviation from the reference time in the received signal is calculated (step S104).
- the offset value calculation unit 13 outputs information on the calculated deviation from the reference time to the timing adjustment unit 14-i corresponding to the wave receiver 11-i. For example, the offset value calculator 13 outputs information on the difference between the arrival time of the data frame to the wave receiver 11-1 and the reference time to the timing adjuster 14-1. For example, the offset value calculator 13 outputs information on the difference between the arrival time of the data frame to the wave receiver 11-n and the reference time to the timing adjuster 14-n.
- the timing adjustment unit 14-i pads the beginning of the data frame with zeros based on the shift information output from the offset value calculation unit 13 (step S105). Specifically, the timing adjuster 14-i pads the beginning of the data frame with zeros so that the shift indicated by the shift information output from the offset value calculator 13 is zero. As a result, the head positions of the data frames received by all wave receivers 11-i are aligned at the reference time. The timing adjuster 14-i outputs the adjusted data frame to the FIR filter 15-i.
- the FIR filter 15-i performs filter processing using the output from the timing adjustment unit 14-i as an input signal (step S106).
- the signal filtered by the FIR filter 15-i is synthesized by the synthesizing unit 16 (step S107).
- FIG. 5 is a diagram showing the arrangement of the wave transmitters 21-1 to 21-2 and the wave receivers 11-1 to 11-2 during simulation. As shown in FIG. 5, this simulation assumes 2 ⁇ 2 MIMO (Multiple Input Multiple Output) and compares the BER characteristics of the transmitter 21-1.
- the FIR filter 15 is learned by the RLS method using the error between the known signal and the filter output as a cost.
- FIG. 6 is a diagram showing simulation results in the first embodiment.
- the horizontal axis represents the number of taps of the FIR filter
- the vertical axis represents BER.
- the BER is constant regardless of the number of taps of the FIR filter.
- the BER characteristic deteriorates when the number of taps of the FIR filter is less than 85.
- the plurality of wave receivers 11-1 to 11-n for receiving data frames arriving from a predetermined direction and the plurality of wave receivers 11-1 to 11- n and a plurality of detectors 12-1 to 12-n for detecting arrival times of data frames received by the connected wave receivers 11-1 to 11-n, and a plurality of detected data frames.
- a plurality of timing adjustment units 14-1 to 14-n for adjusting the arrival time shifts among the plurality of wave receivers 11-1 to 11-n based on the arrival time of the receivers 11-1 to 11-n; a plurality of FIR filters 15-1 to 15-n that perform filter processing as a filter, and a synthesizing unit 16 that synthesizes the output results of the plurality of FIR filters 15-1 to 15-n.
- the tap length of the FIR filter is shorter than the arrival time difference between the wave receivers 11-1 to 11-n, it is possible to synthesize sound waves from all directions of arrival.
- the tap length of the FIR filter is set short, the BER characteristic at the receiver end does not deteriorate.
- the required tap length of the FIR filter is shortened, and the amount of calculation can be reduced. If the adaptive algorithm controls the FIR filter, the convergence speed of the adaptive algorithm is improved.
- the receiver 10 further includes an offset value calculator 13 that calculates the difference between the arrival time of the data frame received by each wave receiver 11-i and the reference time.
- a plurality of timing adjustment units 14-i adjust each data frame received by each wave receiver 11-i so as to reduce the deviation calculated by the offset value calculation unit 13.
- FIG. 1 it is possible to reduce the arrival time deviation (for example, delay) caused by the path difference. Therefore, even if the tap length of the FIR filter is shorter than the arrival time difference between the wave receivers 11-1 to 11-n, it is possible to synthesize sound waves from all directions of arrival.
- the receiver 10 sets the time obtained based on the arrival times detected by the plurality of detection units 12-i as the reference time.
- the time obtained based on the arrival time is the time when the sound wave arrived, the time preset by the user of the receiver 10, and the average of the time when the sound wave arrived at the wave receivers 11-1 to 11-n. Time, median, latest time, or earliest time.
- the receiver 10 shown in FIG. 2 is configured to include leading counter value setting units 17-1 to 17-n shown in FIG. 7 instead of the offset value calculation unit 13 and the timing adjustment units 14-1 to 14-n.
- leading counter value setting units 17-1 to 17-n shown in FIG. 7 instead of the offset value calculation unit 13 and the timing adjustment units 14-1 to 14-n.
- FIG. 7 is a diagram showing the configuration of the receiver 10a in the modified example of the first embodiment.
- the receiver 10a includes a plurality of wave receivers 11-1 to 11-n, a plurality of detectors 12-1 to 12-n, a plurality of top counter value setting units 17-1 to 17-n, a plurality of It has FIR filters 15-1 to 15-n and a synthesizing section 16.
- FIG. The receiver 10a differs in configuration from the receiver 10 in that it includes leading counter value setting sections 17-1 to 17-n instead of the offset value calculating section 13 and the timing adjusting sections 14-1 to 14-n.
- Other configurations of the receiver 10 a are the same as those of the receiver 10 . Therefore, only the points of difference will be described.
- the leading counter value setting unit 17-i holds M i .
- the leading counter value setting unit 17-i uses the held parameter M i to set the input signal to the FIR filter 15-i based on the following equation (2).
- the leading counter value setting unit 17-i is one aspect of the adjustment unit.
- Nt represents the number of taps of the FIR filter 15-i.
- FIG. 8 is a diagram for explaining an overview of a method of calculating the deviation from the reference time in the second embodiment.
- FIG. 8 shows a linear array in which wave receivers 11-1 to 11-4 are arranged in a line at regular intervals. Suppose a sound wave arrives from a direction of arrival in a four-element linear array, as shown in FIG. In this case, the arrival time difference of the wave receivers 11-2 to 11-4 with respect to the wave receiver 11-1 changes linearly.
- T in FIG. 8 the slope of the arrival timing
- FIG. 9 is a diagram showing the configuration of the receiver 10b in the second embodiment.
- the receiver 10b is a receiver used for underwater acoustic communication.
- the receiver 10b includes a plurality of wave receivers 11-1 to 11-4, a plurality of detectors 12-1 to 12-2, an offset value calculator 13, and a plurality of timing adjusters 14-1 to 14- 4, a plurality of FIR filters 15-1 to 15-4, a synthesizing unit 16, and an arrival time estimating unit 18.
- FIG. 9 shows, as an example, a configuration in which four units of the wave receiver 11, the timing adjustment unit 14 and the FIR filter 15, and two units of the detection unit 12 are provided.
- the number of detectors 12 may be at least two (n ⁇ 1) and the number may be smaller than the number of wave receivers 11, timing adjusters 14 and FIR filters 15.
- the detector 12-1 is connected to the wave receiver 11-3, and the detector 12-2 is connected to the wave receiver 11-4.
- the detector 12 is provided in some of the N (four in FIG. 9) wave receivers 11 .
- the detectors 12-1 and 12-2 detect received signals output from the connected wave receivers 11 (eg, wave receivers 11-3 and 11-4). Further, the detectors 12-1 and 12-2 detect arrival times of data frames.
- the arrival time estimation unit 18 estimates the arrival times of all the wave receivers 11-i based on the arrival times obtained by the detection units 12-1 and 12-2. Any algorithm may be used to estimate the arrival time. For example, due to linear independence, if the array is arranged linearly, theoretically all the receivers 11-i arrive based on the information of the arrival time difference of the data frames between two or more receivers 11-i. Time can be estimated. Alternatively, in the case of an array arranged in a plane, information on the arrival time difference of data frames among three or more receivers 11-i (for example, 2 and the arrival time difference of the wave receiver 11-3), the arrival times of all the wave receivers 11-i can be theoretically estimated.
- the offset value calculator 13 calculates the deviation from the reference time for each wave receiver 11-i. Calculated for each
- the receiver 10b configured as described above, there is no need to detect the data frames received by all the wave receivers 11-i. It is possible to significantly reduce the amount of calculation required for detection.
- the timing adjustment unit 14 may adjust the difference in arrival times between the plurality of wave receivers 11 based on the detected arrival directions of the plurality of signals.
- Some functional units of the receivers 10, 10a, and 10b in the above-described embodiments may be realized by computers.
- a program for realizing this function may be recorded in a computer-readable recording medium, and the program recorded in this recording medium may be read into a computer system and executed.
- the "computer system” referred to here includes hardware such as an OS and peripheral devices.
- “computer-readable recording medium” refers to portable media such as flexible disks, magneto-optical disks, ROMs and CD-ROMs, and storage devices such as hard disks built into computer systems.
- “computer-readable recording medium” means a medium that dynamically retains a program for a short period of time, like a communication line when transmitting a program via a network such as the Internet or a communication line such as a telephone line. It may also include something that holds the program for a certain period of time, such as a volatile memory inside a computer system that serves as a server or client in that case.
- the program may be for realizing a part of the functions described above, or may be capable of realizing the functions described above in combination with a program already recorded in the computer system. It may be implemented using a programmable logic device such as FPGA.
- the present invention can be applied to underwater acoustic communication technology.
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Abstract
Description
(概要)
図1は、本発明の概要を説明するための図である。本発明では、FIRフィルタの前段で、所定の方向から到来する信号に基づいて受波器11-1~11-n間の到達時刻のずれを事前に推定し、推定結果に基づき受信信号のずれを調整する。このようなタイミング調整を行うことにより、FIRフィルタの直前で経路差によって生じた到達時刻のずれを補償する。これによって、受波器11-1~11-n間の到達時刻差を見かけ上無くすことができ、FIRフィルタのタップ長が受波器11-1~11-n間の到達時刻差より短い場合であっても、あらゆる到来方向の音波を合成することが可能になる。
以下、上記の効果を得るための構成について説明する。
図2は、第1の実施形態における受信機10の構成を示す図である。受信機10は、水中音響通信に利用される受信機である。受信機10は、複数の受波器11-1~11-nと、複数の検出部12-1~12-nと、オフセット値算出部13と、複数のタイミング調整部14-1~14-nと、複数のFIRフィルタ15-1~15-nと、合成部16とを備える。
次に、第1の実施形態のように受波器11間の到達時刻に基づく補正を行った場合と、行わない場合とのFIRフィルタのタップ数に対するBER特性を比較する。シミュレーションは、以下の条件で行った。
・変調方式:QPSK(Quadrature Phase Shift Keying)
・帯域幅:200kHz
・中心周波数:300kHz
・送信アンテナ:2本
・受信アンテナ:2本
・Eb/No(Electric Bit to Noise):13dB
・伝送方式:シングルキャリア
図2に示す受信機10において、オフセット値算出部13及びタイミング調整部14-1~14-nに代えて、図7に示す先頭カウンタ値設定部17-1~17-nを備えるように構成されてもよい。このように構成されることで、受信信号を時間軸で補正することなく受波器11-1~11-n間の到達時刻の差を補償することが可能になる。
第1の実施形態では、全ての受波器11-iで受信されたデータフレームを検出する構成を示した。第2の実施形態では、受波器11-iの一部のデータフレームを検出し、検出したデータフレームの到達時刻に基づいて全ての受波器11-iの到達時刻を推定する点で第1の実施形態と異なる。
Claims (8)
- 所定の方向から到来した信号を受信する複数の受波器と、
前記複数の受波器の少なくとも一部に接続され、接続された受波器で受信された信号の到達時刻を検出する複数の検出部と、
検出された複数の信号の到達時刻、または、到来方向に基づいて、前記複数の受波器間の到達時刻のずれを調整する複数の調整部と、
を備える受信機。 - 調整後の信号を入力信号としてフィルタ処理を行う複数のFIR(Finite Impulse Response)フィルタと、
前記複数のFIRフィルタの出力結果を合成する合成部と、
をさらに備える、
請求項1に記載の受信機。 - 各受波器で受信された信号の到達時刻と、基準時刻とのずれを算出するオフセット値算出部、
をさらに備え、
前記複数の調整部は、前記オフセット値算出部で算出されたずれを少なくするように、前記複数の受波器それぞれで受信された各信号を調整する、
請求項1又は2に記載の受信機。 - 前記オフセット値算出部は、前記複数の検出部で検出された到達時刻に基づいて得られる時刻、又は、事前に設定された時刻を前記基準時刻に設定する、
請求項3に記載の受信機。 - 前記複数の検出部は、前記複数の受波器の一部に接続され、
前記複数の検出部が接続された受波器で受信された信号の到達時刻に基づいて、各受波器で受信された信号の到達時刻を推定する到達時刻推定部と、
をさらに備え、
前記オフセット値算出部は、前記到達時刻推定部で推定された各受波器で受信された信号の到達時刻と、基準時刻とのずれを算出する、
請求項3又は4に記載の受信機。 - 前記複数の検出部は、前記信号の先頭位置をさらに検出し、
前記複数の検出部それぞれで検出された前記信号の先頭位置を示す値に基づき前記複数のFIRフィルタに入力する信号を制御する先頭カウンタ値設定部、
をさらに備える、
請求項2に記載の受信機。 - 前記複数の調整部は、前記オフセット値算出部で算出されたずれを元に、前記信号の先頭にゼロをパディングすることで各信号の先頭位置を揃える、
請求項3から5のいずれか一項に記載の受信機。 - 所定の方向から到来した信号を受信し、
受信された少なくとも一部の信号の到達時刻を検出し、
検出された複数の信号の到達時刻、または、到来方向に基づいて、前記複数の受波器間の到達時刻のずれを調整する、
受信方法。
Priority Applications (5)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP2023522063A JPWO2022244125A1 (ja) | 2021-05-19 | 2021-05-19 | |
CN202180098178.2A CN117296261A (zh) | 2021-05-19 | 2021-05-19 | 接收机和接收方法 |
US18/290,470 US20240259111A1 (en) | 2021-05-19 | 2021-05-19 | Receiving apparatus and receiving method |
EP21940742.6A EP4344083A1 (en) | 2021-05-19 | 2021-05-19 | Receiver and receiving method |
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Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
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JPH02141134A (ja) * | 1988-11-22 | 1990-05-30 | Fujitsu Ltd | 空中、水中通信の中継方法 |
JPH1051268A (ja) * | 1996-08-05 | 1998-02-20 | Toshiba Corp | 雑音消去に用いられるフィルタ演算装置及びフィルタ演算方法 |
US5844951A (en) * | 1994-06-10 | 1998-12-01 | Northeastern University | Method and apparatus for simultaneous beamforming and equalization |
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- 2021-05-19 WO PCT/JP2021/018901 patent/WO2022244125A1/ja active Application Filing
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Patent Citations (3)
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JPH02141134A (ja) * | 1988-11-22 | 1990-05-30 | Fujitsu Ltd | 空中、水中通信の中継方法 |
US5844951A (en) * | 1994-06-10 | 1998-12-01 | Northeastern University | Method and apparatus for simultaneous beamforming and equalization |
JPH1051268A (ja) * | 1996-08-05 | 1998-02-20 | Toshiba Corp | 雑音消去に用いられるフィルタ演算装置及びフィルタ演算方法 |
Non-Patent Citations (2)
Title |
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HIROYUKI FUKUMOTOYOUSKE FUJINOMARINA NAKANOTOSHIMITSU TSUBAKIIKKO SAKAMOTO: "Study on spatiotemporal equalization for speeding up subsea acoustic communication", IEICE TECHNICAL REPORT, vol. 119, no. 296, November 2019 (2019-11-01), pages 169 - 174 |
YOUNGCHOL CHOI ; YONG-KON LIM: "Broadband FIR Beamformer for Underwater Aoustic Communication", OCEANS 2006 - ASIA PACIFIC, IEEE, PI, 1 May 2006 (2006-05-01), Pi , pages 1 - 4, XP031167931, ISBN: 978-1-4244-0137-6 * |
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CN117296261A (zh) | 2023-12-26 |
US20240259111A1 (en) | 2024-08-01 |
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