This application claims the benefit of Japanese Patent Application No. 2023-006424, filed on Jan. 19, 2023, the entire disclosure of which is incorporated by reference herein.
The present disclosure relates generally to an electronic device, a sleep state determination method, and a recording medium.
In the related art, devices are known that detect a sleep state of a person and attempt to wake up that person in a period in which the sleep state is light (REM phase). An example of such a device is disclosed in Japanese Unexamined Patent Application No. 2007-105111. This device includes a body motion sensor that measures the body motion of the sleeper, derives the heart rate per minute from signals from the body motion sensor, and detects the period in which the sleep state is light on the basis of the derived heart rate.
An electronic device according to one embodiment of the present disclosure includes:
A more complete understanding of this application can be obtained when the following detailed description is considered in conjunction with the following drawings, in which:
Hereinafter, embodiments are described while referencing the drawings. Note that, in the drawings, identical or corresponding components are denoted with the same reference numerals.
In one example, an electronic device 100 according to Embodiment 1 is a smartwatch. The electronic device 100 acquires, by built-in sensors, biological signals of a user, estimates a sleep state of the user, determines a timing at which sleep is light as a recommended wake-up time, and wakes up the user by an electronic sound and/or vibration.
As illustrated in
The controller 110 is configured from a processor such as a central processing unit (CPU) or the like, and executes various processings described later by executing programs stored in the storage 120. Note that the controller 110 is compatible with multithreading functionality, in which a plurality of processings are executed in parallel. As such, the controller 110 can execute the various processings described below in parallel. Additionally, the controller 110 is provided with a clock function and a timer function, and can measure the date and time, and the like.
The storage 120 is configured from read-only memory (ROM), flash memory, random access memory (RAM), or the like. Programs to be executed by the CPU of the controller 110, and data needed in advance to execute these programs are stored in the ROM. The flash memory is writable non-volatile memory, and stores data that is desired to be retained even after the power is turned OFF. Data that is created or modified during the execution of the programs is stored in the RAM.
The sensor 130 includes a pulse wave sensor for detecting a plethysmogram of the user, and an acceleration sensor for detecting body motion of the user.
The pulse wave sensor detects, at a certain sampling frequency (for example, 250 Hz) changes in the amount of light absorbed by oxyhemoglobin in the blood by irradiating light from the surface of the skin of the user and measuring the reflected light and the transmitted light thereof. These changes in the amount of absorbed light correspond to changes in blood vessel volume. As such, the pulse wave sensor obtains a pulse wave 201 that captures changes in blood vessel volume as a waveform, as illustrated in
Moreover, since it is thought that changes in blood vessel volume are synchronized with the beating of the heart, it is possible to estimate the timing at which the amplitude of the pulse wave peaks as the timing when a beat of the heart occurs (hereinafter referred to as “beat timing”). Additionally, it is possible to estimate, as a heartbeat interval (R-R interval, “RRI”), a time interval between two adjacent peaks of the pulse wave on the time axis.
In
Additionally, the sensor 130 includes the acceleration sensor, and the acceleration sensor detects acceleration in the direction of each of three axes (mutually orthogonal X axis, Y axis, and Z axis) to detect the body motion of the user. In the present embodiment, the controller 110 samples detection values of the acceleration sensor at a certain sampling frequency (for example, 32 Hz) to acquire an acceleration data string.
In one example, the input device 140 is constituted by a push button switch, a touch panel, or the like. In one example, the input device 140 is a user interface for receiving user operations such as setting of an alarm time (expected wake up time), setting of alarm operation content (electronic sound only, vibration only, electronic sound+vibration, or the like), ON/OFF of the alarm function, and the like.
In one example, the output device 150 includes a display such as a liquid crystal display or an organic electroluminescence (EL) display, a sound outputter such as a speaker or a buzzer, a vibration device such as a vibrator, and the like. However, a configuration is possible in which the output device 150 includes only a portion of these components. In one example, the display of the output device 150 displays a current time and the like. When the electronic device 100 is used as an alarm clock, the output device 150 emits a sound at the recommended wake-up time, for example.
The communicator 160 is a communication interface for exchanging data and the like with other external devices. This communication interface may be wireless or wired. In one example, the electronic device 100 is capable of sending, via the communicator 160, the determined recommended wake-up time to an external server or the like.
As illustrated in
In the example illustrated in
The inventors conducted tests on a plurality of subjects in which sleep stage measurement using a simple electroencephalogram, heart rate measurement, and acceleration measurement were performed simultaneously, and obtained the following findings from analyses of the test results.
In the present embodiment, the effects of individual differences and day to day differences are suppressed by deriving a determination threshold using the biological signal data acquired in the analysis period immediately before the determination period in which the determination of the recommended wake-up time is performed.
The heart rate acquired by the controller 110 frequently includes outliers due to errors of the values detected by the sensor 130, errors when calculating the heart rate from the pulse wave, and the like.
For example,
In reality, there are a variety of other causes of outliers but, in
In the present embodiment, an algorithm is adopted that avoids missing pulse wave peaks as much as possible when calculating the heart rate from the pulse wave. In this case, the possibility of outliers at which the heart rate becomes greater than expected values occurring increases but, conversely, the possibility of outliers at which the heart rate becomes smaller than expected values occurring decreases significantly. Accordingly, it is possible to substantially remove the outliers by correcting the heart rate data using a Min filter that replaces the heart rate with the minimum value within the most recent predetermined period (window).
For example, when the Min filter is applied to the graph of the heart rate illustrated in
Next, the Min filter is described in detail while referencing
Thus, the Min filter is a filter that replaces the heart rate at each time with the minimum value within the period of a window (first window) having a length of the first window period. Moreover, in the analysis period (the first period), the controller 110 applies the Min filter to each of the plurality of acquired heart rate data (the first period data) while temporally shifting this first window a little at a time (for example, sliding one second at a time) to generate a heart rate data group (first corrected data group) that is corrected such that the suddenly occurring outliers are removed. Note that, as described later, in the determination period (the second period) as well, the controller 110 applies the Min filter to each of the plurality of acquired heart rate data (the second period data) while temporally shifting this first window a little at a time (for example, sliding one second at a time) to generate a heart rate data group (second corrected data group) that is corrected such that the suddenly occurring outliers are removed.
Additionally, the inventors discovered that, when the heart rate data is correct, the standard deviation thereof falls within a certain (predetermined) range. Firstly, when the standard deviation is excessively small, it can be said to be mechanical data without biological fluctuations, and it is understood that such heart rate data contains some sort of error. Moreover, there is a limit to the magnitude of heart rate fluctuation of a normal person and, as such, when the standard deviation is excessively large, it is understood that normal data is not being acquired. As such, when the heart rate is a normal heart rate, the standard deviation thereof falls within a predetermined range. Accordingly, when the standard deviation of the heart rate does not fall within the predetermined range, the controller 110 can determine that the heart rate is not being correctly acquired.
However, as described above, there is a possibility that the heart rate acquired in the present embodiment contains outliers, and when outliers are contained, the standard deviation becomes greater than the expected values. Therefore, in the present embodiment, the controller 110 is configured to create a histogram of the standard deviations of the heart rate, and only use data of the standard deviations less than or equal to the 25th percentile value (first quartile) in the determination of the recommended wake-up time. Note that, here, as illustrated in
Specifically, the controller 110 slides the window (the second window) of the second window period (in the present embodiment, 30 seconds) one second at a time with respect to the heart rate data to calculate the standard deviation for every piece of data included in that second window. As a result, 10,800 standard deviations are obtained in the analysis period (three hours=180 minutes=10,800 seconds) and, when creating the histogram, a histogram such as that illustrated in
When calculating the standard deviation of the data within the second window in the continuously occurring outlier portion (for example, in
Then, as illustrated in
HR_TH=Dn_ave+h×Dn_std (1)
Additional description of Equation (1) is given below. It is thought that the sleep state of the user is light when the heart rate is a certain degree greater than the average (Dn_ave). Specifically, it is clear that it is sufficient that the heart rate threshold is set to the average+α. However, the magnitude of heart rate fluctuation varies from person to person, and for people with great fluctuation, the value of α must be set to a greater value so that the heart rate threshold is not easily exceeded. Moreover, when the heart rate fluctuation is great, the standard deviation (Dn_std) increases. Accordingly, in Equation (1) described above, a more reliable heart rate threshold (capable of absorbing differences in the heart rate from person to person) is set by adding h×Dn_std to Dn_ave.
Then, when the heart rate after the Min filter applied in the determination period becomes greater than the heart rate threshold HR_TH derived by Equation (1), the controller 110 determines that it is the recommended wake-up time, starts the alarm, and wakes up the user. For example,
However, while extremely rare, there are, for example, cases in which the heart rate suddenly becomes an abnormally small outlier, such as the value of the heart rate at the time 05:22 illustrated in
The acceleration threshold is derived by the controller 110 on the basis of the acceleration during the analysis period. In the present embodiment, the controller 110 derives an acceleration threshold ACC_TH in accordance with Equation (2) below, from an acceleration average (ACC_ave) and an acceleration standard deviation (ACC_std) during the analysis period.
ACC_TH=ACC_ave+k×ACC_std (2)
Additional description of Equation (2) is given below. It is thought that the sleep state of the user is light when the acceleration is a certain degree greater than the average (ACC_ave). Specifically, it is clear that it is sufficient that the acceleration threshold is set to the average+α. However, the magnitude of acceleration fluctuation varies from person to person, and for people with great fluctuation, the value of α must be set to a greater value so that the acceleration threshold is not easily exceeded. Moreover, when the acceleration fluctuation is great, the standard deviation (ACC_std) increases. Accordingly, in Equation (2) described above, a more reliable acceleration threshold (capable of absorbing the differences in the acceleration from person to person) is set by adding k×ACC_std to ACC_ave.
Note that, when deriving the heart rate threshold, the controller 110 can calculate the 25th percentile value without creating the histogram of the standard deviations of the heart rate. In one example, as illustrated in
Additionally, it is sufficient that the heart rate threshold (the first threshold) is derived by performing some sort of statistical processing on the heart rate data, and it is not absolutely necessary to use the 25th percentile value of the standard deviations of the heart rate. For example, a median of the standard deviations of the heart rate may be used, or an xth percentile value of the standard deviations of the heart rate may be used for a desired x (where x is from 0 to 100). Furthermore, in Equation (1), Dn_med (median of all Dn data) or Dn_mode (mode obtained from all Dn data) may be used instead of Dn_ave (average of all Dn data). Additionally, in Equation (1), a variance of all Dn data or a predetermined value may be used instead of Dn_std (standard deviation of all Dn data).
Likewise, it is sufficient that the acceleration threshold (the second threshold) is derived by performing some sort of statistical processing on the acceleration data. For example, in Equation (2), ACC_med (median of all acceleration data during analysis period) or ACC_mode (mode obtained from all acceleration data during analysis period) may be used instead of ACC_ave (average of all acceleration data during the analysis period). Additionally, in Equation (2), a variance of all of the acceleration data during the analysis period or a predetermined value may be used instead of ACC_std (standard deviation of all acceleration data during the analysis period).
Next, the analysis processing executed in the analysis period is described while referencing
Firstly, the controller 110 acquires biological signals from the sensor 130 (step S101). More specifically, the controller 110 acquires the pulse wave using the pulse wave sensor, and the acceleration using the acceleration sensor.
Next, the controller 110 calculates a sum total and a sum of squares of the acceleration acquired in step S101 (step S102). Specifically, when the sum total of the acceleration is stored in a variable SA, the sum of squares is stored in a variable TA, and the acceleration acquired in step S101 is stored in a variable A, in step S102, it is sufficient that A is added to the variable SA, and the square of A is added to TA. By successively calculating the sum total and the sum of squares of the acceleration in this manner, it is possible to perform the derivation of the acceleration threshold in step S108, described layer, in a short amount of time.
Next, the controller 110 calculates the heart rate from the pulse wave acquired in step S101 (step S103). The heartbeat interval (sec) can be obtained simply from the pulse wave, and the heart rate can be calculated by dividing 60 by the heartbeat interval. However, in the present embodiment, in order to minimize outliers as much as possible, it is desirable that the heart rate be calculated using an algorithm that avoids missing the peaks of the pulse wave as much as possible.
Next, the controller 110 obtains the minimum value of the heart rate within the most recent first window period (step S104). Note that the first window period is one minute in the present embodiment, but may be set to a shorter period (for example, 30 seconds) or to a longer period (for example, 2 minutes). Setting the first window period to a shorter period makes it easier to follow changes in the heart rate and, in such a case, the alarm can be started immediately at the timing at which the sleep of the user becomes light. Meanwhile, setting the first window period to a longer period makes it possible to suppress the effects of outliers of the heart rate to a greater degree.
Next, the controller 110 obtains the standard deviations of the heart rate within the most recent second window period (step S105). The second window period is 30 seconds in the present embodiment, but may be set to a shorter period (for example, 15 seconds) or to a longer period (for example, 1 minute). Whether the heart rate calculated in step S103 is a normal value is determined on the basis of the standard deviations obtained here. Accordingly, setting the second window period to a shorter period makes it possible to immediately detect that the heart rate is a value that is not normal. Meanwhile, setting the second window period to a longer period makes it possible to more correctly determine whether the heart rate is a normal value.
Next, the controller 110 creates the histogram of the standard deviations obtained in step S105 (step S106). At this time, the controller 110 calculates, for every bin of the histogram described above, the sum total and the sum of squares of the minimum value of the heart rate obtained in step S104. By successively calculating, for every bin of the histogram described above, the sum total and the sum of squares of the minimum value of the heart rate in this manner, it is possible to perform the derivation of the heart rate threshold in step S109, described layer, in a short amount of time.
Next, the controller 110 determines whether the analysis period is ended (step S107). When the analysis period is not ended (step S107; No), the controller 110 executes step S101.
When the analysis period is ended (step S107; Yes), the controller 110 derives the acceleration threshold using Equation (2) described above (step S108).
Next, the controller 110 calculates the 25th percentile value for the histogram created in step S106, and derives the heart rate threshold using Equation (1) described above (step S109).
Next, the controller 110 determines whether the standard deviation (Dn_std: standard deviation of all DN data) calculated in step S105 is within a predetermined range (step S110). When the standard deviation is within the predetermined range (step S110; Yes), the controller 110 sets a flag variable HR_flg to ON, sets so as to use both the heart rate threshold and the acceleration threshold in the determination processing described later (step S111), and ends the analysis processing.
Meanwhile, when the standard deviation is not within the predetermined range (step S110; No), the controller 110 sets the flag variable HR_flg to OFF, sets so as to use only the acceleration threshold in the determination processing described later (step S112), and ends the analysis processing. The determination condition in step S110 is one condition for determining whether the heart rate is correctly acquired in the analysis period and, as such, is also called a “first condition.”
Next, the determination processing executed in the determination period is described while referencing
Firstly, the controller 110 determines whether the flag variable HR_flg is ON (step S201). However, when the flag variable HR_flg is not set to either ON or OFF (when the analysis processing is not ended), the controller 110 waits until the flag variable HR_flg is set to ON or OFF (until the analysis processing ends), and performs the processing of step S201 after the flag variable HR_flg is set to ON or OFF.
When the flag variable HR_flg is not ON (step S201; No), the controller 110 acquires the acceleration from the acceleration sensor of the sensor 130 (step S202). Then, the controller 110 determines whether the acceleration acquired in step S202 is greater than the acceleration threshold set in the analysis processing (step S203).
When the acceleration is greater than the acceleration threshold (step S203; Yes), the controller 110 determines that the current time is the recommended wake-up time that is the timing at which the sleep state is light, starts the alarm (step S205), and ends the determination processing.
When the acceleration is less than or equal to the acceleration threshold (step S203; No), the controller 110 determines whether the determination period is ended (step S204). When the determination period is not ended (step S204; No), step S202 is executed. When the determination period is ended (step S204; Yes), the time is the set alarm time and, as such, the controller 110 executes step S205 (alarm start).
Meanwhile, in step S201, when the flag variable HR_flg is ON (step S201; Yes), the controller 110 acquires the pulse wave using the pulse wave sensor, and acquires the acceleration using the acceleration sensor (step S206).
Next, the controller 110 calculates the heart rate from the pulse wave acquired in step S206 (step S207), and obtains, by the Min filter, the minimum value of the heart rate within the most recent first window period (step S208).
Next, the controller 110 determines whether the minimum value of the heart rate obtained in step S208 is within a predetermined reference value range (whether greater than the abnormal determination threshold (for example, 10)) (step S209). Note that, in the present embodiment, as in the analysis processing in the analysis period, the Min filter is applied while sliding the first window every one second in the determination processing in the determination period to obtain the minimum value of the heart rate within the most recent first window period. Accordingly, the determination of step S209 is performed every second. When the minimum value of the heart rate is outside the predetermined reference value range (less than or equal to the abnormal determination threshold) (step S209; No), the controller 110 determines, until calculating the next heart rate, whether the acceleration acquired in step S206 is greater than the acceleration threshold set in the analysis processing (step S210).
When the acceleration is greater than the acceleration threshold (step S210; Yes), the controller 110 determines that the current time that is the timing at which the sleep state is light is the recommended wake-up time, and executes step S205 (alarm start). When the acceleration is less than or equal to the acceleration threshold (step S210; No), the controller 110 determines whether the determination period is ended (step S212). When the determination period is not ended (step S212; No), step S206 is executed. When the determination period is ended (step S212; Yes), the time is the set alarm time and, as such, the controller 110 executes step S205 (alarm start).
Meanwhile, when, in step S209, the minimum value of the heart rate is within the predetermined reference value range (is greater than the abnormal determination threshold) (step S209; Yes), the controller 110 determines whether the minimum value of the heart rate obtained in step S208 is greater than the heart rate threshold set in the analysis processing (step S211).
When the minimum value of the heart rate is less than or equal to the heart rate threshold (step S211; No), step S212 is executed. Meanwhile, when the minimum value of the heart rate is greater than the heart rate threshold (step S211; Yes), the controller 110 determines that the current time is the recommended wake-up time, namely the timing at which the sleep state is light, and executes step S205 (alarm start). The determination condition in step S209 is one condition for determining whether the heart rate is correctly acquired in the determination period and, as such, is also called a “second condition.”
As a result of the analysis processing and the determination processing described above, the controller 110 of the electronic device 100 acquires, in the first period, the plurality of first period data that is the biological signal data of the user, generates the first corrected data by executing the predetermined filter processing on the acquired plurality first period data, generates the standard deviation data group by executing the predetermined statistical processing on the plurality of first period data, derives the thresholds on the basis of the first corrected data group and the standard deviation data group that are generated, and determines the sleep state of the user on the basis of the thresholds and the second period data acquired in the second period different from the first period. Accordingly, the controller 110 can determine, as the recommended wake-up time, the timing at which the sleep state of the user is light. That is, when the controller 110 determines, based on a determination result of the sleep state of the user, that the sleep of the user is light, the controller 110 decides that it is the recommended wake-up time, and starts the alarm. Moreover, by starting the alarm at that timing, the user can wake up smoothly.
With conventional devices, the period in which the sleep state is light is detected on the basis of the heart rate and, as such, when the accuracy of detecting the heartbeat is low, the sleep state cannot be correctly detected. In contrast, in the present embodiment, as described above, the controller 110 can remove the two types of outliers (the suddenly occurring outliers and the continuously occurring outliers) that occur in the heart rate data. Specifically, the suddenly occurring outliers can be removed by the Min filter, and the continuously occurring outliers can be removed by using the standard deviation (for example, by using the standard deviations and the heart rate averages corresponding to the times at which the standard deviation is less than or equal to the 25th percentile value). Accordingly, the controller 110 can determine the sleep state of the user more appropriately.
Additionally, when a determination is made that the correct heart rate is not being acquired, the controller 110 determines the sleep state of the user using the acceleration instead of the heart rate and, as such, the controller 110 can determine the sleep state of the user more appropriately than when using only the heart rate. For example, when the belt of the electronic device 100 (for example, a smartwatch) loosens while the user is sleeping, appropriate detection of the heart rate becomes impossible. Since the acceleration can be detected without issue in such a case as well, the sleep state can be more correctly determined by using the acceleration data instead of the heart rate data.
Additionally, the controller 110 calculates the plurality of standard deviations of the heart rate data within the second window period by temporally sliding the second window, extracts the plurality of standard deviations for a predetermined ratio from the smaller values of the plurality of standard deviations (for example values less than or equal to the 25th percentile value), and calculates the heart rate threshold using the data corresponding to the standard deviations extracted from among the data included in the first corrected data group (the plurality of heart rate data after the Min filter applied). As such, the controller 110 can derive the heart rate threshold using data from which the continuously occurring heart rate outliers are removed.
In the determination processing (
In Modified Example 1, when the heart rate calculated in step S103 is outside the predetermined reference value range (is less than or equal to the abnormal determination threshold), the controller 110 considers that heart rate as an outlier and ignores it. By configuring in this manner, in Modified Example 1, even if an (abnormally small) outlier outside the predetermined reference value range occurs suddenly as a heart rate in the analysis period, it is possible to set a heart rate threshold in which the effects of that outlier are eliminated as much as possible.
In the analysis processing (
In this Modified Example 2, in step S209 of the determination processing (
With some algorithms for calculating the heart rate from the pulse wave, there are cases in which the heart rate suddenly takes large values and small values. When adopting such an algorithm, it is desirable to use a Median filter that replaces the heart rate with the median within the most recent predetermined period (window), instead of the Min filter and/or the Max filter.
In Modified Example 3 described above, in step S209 of the determination processing (
The present disclosure is not limited to the embodiments described above, and various modifications and uses are possible. For example, in the embodiment and the modified examples described above, the sensor 130 includes a pulse wave sensor for detecting the pulse wave and an acceleration sensor for detecting the body motion. However, the types of sensors that the sensor 130 is provided with are not limited thereto. The sensor 130 can include any type of sensor that can detect (acquire) a biological signal to be used in the determination of the recommended wake-up time. Additionally, in a case in which the biological signals or feature values for estimating the sleep state can be received from an external device or the like via the communicator 160, for example, the electronic device 100 need not include the sensor 130, and the biological signal or the like may be acquired via the communicator 160.
The electronic device 100 is not limited to a wearable device such as a smartwatch. A configuration is possible in which the electronic device 100 is an information device such as a smartphone that acquires, via wireless communication or the like, the heart rate and/or the acceleration of the user from another wearable terminal or the like (a smartwatch or the like). In such a case, a configuration is possible in which the analysis processing and the determination processing are carried out by the electronic device 100 serving as the information device, and the alarm function is carried out by the information device main body; or a configuration is possible in which alarm information is sent to the wearable terminal and the alarm sound is output by the wearable terminal.
In the embodiment and the modified examples described above, the electronic device 100 uses the heart rate (first data) and the acceleration (second data) as the biological signal data to be used in the determination of the sleep state of the user. However, the biological signals to be used in the determination are not limited thereto. Examples of biological signals usable by the electronic device 100 include body motion (detected by an acceleration sensor provided on the head, arm, chest, foot, torso, or the like), EMG (detected by myoelectric sensors attached to the head (around the temples and nose), arms, chest, feet, torso, or the like), perspiration (detected by a skin electrometer or a humidity sensor), heartbeat (detection by an electrocardiograph, a pressure sensor installed under a bed (detection of ballistocardiogram waveform), a pulse wave sensor installed on the head, arm, chest, feet, torso, or the like), and the like.
Note that, in the embodiments and the modified examples described above, the electronic device 100 includes the input device 140, the output device 150, and the communicator 160. However, these are not essential constituents and configurations are possible in which the electronic device 100 does not include the input device 140, the output device 150, and/or the communicator 160.
The various functions of the electronic device 100 can be implemented by a computer such as a typical personal computer (PC). Specifically, in the embodiments described above, examples are described in which programs, such as the analysis processing, executed by the electronic device 100 are stored in advance in the ROM of the storage 120. However, a computer may be configured that is capable of realizing these various features by storing and distributing the programs on a non-transitory computer-readable recording medium such as a compact disc read-only memory (CD-ROM), a digital versatile disc (DVD), a magneto-optical disc (MO), a memory card, and universal serial bus (USB) memory, and reading out and installing these programs on the computer.
Additionally, in cases in which the processings described above are realized by being divided between an operating system (OS) and an application/program, or are realized by cooperation between an OS and an application/program, it is possible to store only the portion of the application/program on the non-transitory recording medium or in the storage. Additionally, the programs can be piggybacked on carrier waves and distributed via a network. For example, the programs may be posted to a bulletin board system (BBS) on a network, and distributed via the network. Moreover, a configuration is possible in which the processings described above are executed by starting these programs and, under the control of the operating system (OS), executing the programs in the same manner as other applications/programs.
Additionally, a configuration is possible in which the controller 110 is constituted by a desired processor unit such as a single processor, a multiprocessor, a multi-core processor, or the like, or by combining these desired processors with processing circuity such as an application specific integrated circuit (ASIC), a field-programmable gate array (FPGA), or the like.
The foregoing describes some example embodiments for explanatory purposes. Although the foregoing discussion has presented specific embodiments, persons skilled in the art will recognize that changes may be made in form and detail without departing from the broader spirit and scope of the invention. Accordingly, the specification and drawings are to be regarded in an illustrative rather than a restrictive sense. This detailed description, therefore, is not to be taken in a limiting sense, and the scope of the invention is defined only by the included claims, along with the full range of equivalents to which such claims are entitled.
Number | Date | Country | Kind |
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2023-006424 | Jan 2023 | JP | national |