US3876867A - Electronic timer - Google Patents
Electronic timer Download PDFInfo
- Publication number
- US3876867A US3876867A US344172A US34417273A US3876867A US 3876867 A US3876867 A US 3876867A US 344172 A US344172 A US 344172A US 34417273 A US34417273 A US 34417273A US 3876867 A US3876867 A US 3876867A
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- United States
- Prior art keywords
- switch
- latches
- counters
- count
- actuable
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- 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.)
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- 230000015654 memory Effects 0.000 claims description 17
- 230000001419 dependent effect Effects 0.000 claims description 4
- 230000003750 conditioning effect Effects 0.000 claims description 2
- 230000006870 function Effects 0.000 description 4
- 230000007246 mechanism Effects 0.000 description 3
- 241000270281 Coluber constrictor Species 0.000 description 2
- 239000013078 crystal Substances 0.000 description 2
- OQZCSNDVOWYALR-UHFFFAOYSA-N flurochloridone Chemical compound FC(F)(F)C1=CC=CC(N2C(C(Cl)C(CCl)C2)=O)=C1 OQZCSNDVOWYALR-UHFFFAOYSA-N 0.000 description 2
- 230000002452 interceptive effect Effects 0.000 description 2
- 230000000737 periodic effect Effects 0.000 description 2
- 230000001934 delay Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000000977 initiatory effect Effects 0.000 description 1
- 238000009877 rendering Methods 0.000 description 1
- 238000013022 venting Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G04—HOROLOGY
- G04F—TIME-INTERVAL MEASURING
- G04F10/00—Apparatus for measuring unknown time intervals by electric means
- G04F10/04—Apparatus for measuring unknown time intervals by electric means by counting pulses or half-cycles of an AC
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03K—PULSE TECHNIQUE
- H03K21/00—Details of pulse counters or frequency dividers
- H03K21/08—Output circuits
Definitions
- ABSTRACT An electronic timer including a pulse source, counter means for counting the pulses from said source, and means for producing a series of displays representing the instantaneous count on the counter means at a series of different times, with the counter being adapted to count continuously up to the time of a particular readout actuation of the device, and to thereafter continue counting from that time to the time of a next successive actuation.
- the crews of the various cars usually find it desirable 'to time some or all of the individual laps driven by their respective drivers, as well as in many cases the split time or lead time between two selected cars.
- This timing is normally effected by use of a conventional stop watch, which is started by a first manual actuation of the user and then stopped by a subsequent actuation, so that the hands of the watch indicate the total time elapsed between the two actuations.
- an electronic timer has been employed for this purpose, but in the case of both mechanical watches and electric timers the second actuation of the device has had the effect of completely stopping operation of the watch or timer, and thus pre* venting that particular device from continuing to time the next successive lap.
- the present invention provides an improved timing device which is adapted for the above discussed lap timing and other similar timing purposes, and which in particular can effectively time two successive laps or intervals, and produce a display of the time of the first interval while the device still remains in operation for timing the next successive lap.
- the device may similarly indicate to the user the split time between two cars, again without halting or interfering with the basic timing of a longer period.
- the device includes a source of periodic timed pulses (either AC or DC but preferably the latter), used in conjunction with counter means which function to count the pulses and control display apparatus for producing a preferably digital display representing the length of the interval being timed.
- the circuitry is so arranged that its actuation to a condition displaying a readout time does not prevent the counter from continuing to count after the timeof the readout actuation. That is, the counter counts pulses continuously up to the time of actuation of the device, and thereafter continues to count pulses, with the display mechanism functioning to give a readout representing the instantaneous count on the counter at the time of actuation of the device.
- an actuation by the operator op-' erates memory means associated with the counter for recording the instantaneous reading of the counter, which reading may then be read out of the memory for display.
- the counter assembly includes a series of decade counters acting to count the pulses in decimal fashion, with a series of individual latches associated with the decade counters to record their instantaneous readings for ultimate delivery to the display elements.
- each actuation of the device for example at the end of a lap in a race
- each actuation of the device automatically resets the counter mechanism to a zero condition, to thereby time individually the successive laps.
- the counter is not thus reset at the end of each lap, but rather continues to count upwardly from the total reached at the end of the lap, in a manner ultimately giving a reading of the total time elapsed for a series of laps.
- the counter preferably reads in seconds and portions of a second, and may be automatically reset to zero at the end of seconds, with the number of minutes being recorded on another display unit.
- Each lap timing actuation of the device preferably operates to energize the display elements for a predetermined interval, and to then automatically terminate that display, desirably under the control of a one shot multivibrator or other delay unit.
- a separate actuating switch may be provided for timing split time between two successive cars, without interfering with the continuance of the operation of the counter to time a full lap or series of laps as discussed above.
- the timer 10 may have a rectangular housing 11 with a window 12 through which a number of electrically actuated digital dow 12 through which a number beginning and end of each lap, and a two position selector switch 23 which determines whether the time read out on the device at the end of a particular lap is the time elapsed for only that single lap, or is the total time for a series of laps.
- the switches on the device also may include a pushbutton switch 24 for rendering the display elements readable at any particular desired time, and a pushbutton or other switch 25 for resetting the lap count digits l3 and 14 at the start of the race.
- the circuitry contained within housing includes a source of precisely and uniformly timed repeating pulses, whose known frequency is utilized as the basic timing interval for the device.
- These pulses may be produced by a crystal oscillator 26, desirably operated at 819.2 KHz with the output of this oscillator being fed to a frequency divider 27, which produces three different output frequencies on lines 28, 29, and 30 all dependent upon and timed to and controlled by the basic frequency of oscillator 26.
- These three very accurately controlled frequencies are desirably 100 Hz in lines 28, 400 Hz in line 29, and 1600'l-lz in line 30.
- the 100 Hz pulses in line 28 are fed tothe first of four decade counters 31, 32, 33, and 34.
- Each of these is a divide-by-ten type counter, which counts up to 10 and then repeats in known fashion.
- the first 10 pulses received on line 28 cause counter 31 to count from zero to nine and then on the tenth count be automatically reset to zero.
- the tenth count also causes a first actuation of the next counter 32, to its one condition.
- the tenth count of counter 32 causes actuation of counter 33 to its one condition, and the tenth count of counter 33 actuates counter 34 to its one condition, so that the reading on counter 33 represents elapsed time in seconds, while counters 31, 32, and 34, represent hundredths, tenths, and tens of seconds respectively.
- each of these latches is actuated by that signal to a condition corresponding to the instantaneous reading on the associated counter 31, 32, 33, or 34, and remains in that condition even though the counters continue to count additional pulses.
- the latch memories thus remember or catch the instantaneous readings of the counters at the time of the signal.
- the outputs of the four latches are fed to a multiplexer 40, which produces a multiplexed binary coded decimal (BCD) output in four lines 41, which are multiplexed at a frequency four times that of the pulses being counted, under the control of the 400 Hz frequency in line 29.
- This 400 Hz frequency is fed through appropriate circuitry, such as a scan counter 42 and scan decoder 43, to produce a suitable signal in line 44 timed to the pulses being counted in a fashion producing thev desired multiplexed BCD output in lines 41.
- the scan decoder 43 also has four additional output lines 45, 46, 47, and 48, which are energized successively at times corresponding to the delivery of the various individual multiplexed signals to lines 41, and which act through four transistors 49, 50, 51, and 52 to correspondingly sequentially energize four lines 53, 54, 55, and 56 leading to first sides of the four digital display units 17, 18, 19,and respectively, which represent elapsed seconds in decimal-form.
- the multiplexed BCD signals in lines 41 are decoded by the decoder 57 to an appropriate condition for energization of the particular type of display digit being employed.
- the digits are of a seven segment type, in which any digit from zero to nine is formed by an appropriate arrangement of selected ones of seven segments.
- the decoder 57 is of a type to produce a seven segment output, on seven lines 58 leading respectively to the seven different segments of each of the various digits.
- the signals on lines 58 are of course multiplexed in the same manner as the BCD signals on lines 41, so that first one of the digits (e.g. digit 17) is illuminated in correspondence with the signals then present on the seven lines 58, then a next successive one of the digits (e.g.
- each of the seven elements of a particular digit may consist of an electroluminescent unit, having its anode connected to one of the lines 58, and with all of these electroluminescent units having a common cathode connected to the corresponding line 53, 54, 55, or 56.
- the circuitry for attaining this result may include two lines 157 and 158 connected to the one and four outputs respectively from the BCD multiplexer 40. When both of these lines are energized, indicating a five signal on the BCD lines 41, these two signals in lines 157 and 158 function together to actuate an and circuit 59 to produce an output in a line 60. When this five signal in line 60 coincides with a signal in the tens line 53, these two signals together actuate a second and circuit 61 to produce an output in a line 62.
- the sixty second signal in line 69 is also fed to the input side of an additional counter-decoder-driver 71, which counts minutes from zero to nine and energizes the minute indicating digit 16 in accordance therewith.
- This digit may be of a seven segment electroluminescent type, with the output of unit 71 being appropriately coded to energize this seven segment digit through seven lines 72 con-, nected to the anodes of the various segments of digit 16, and with the common cathode of those seven segments being appropriately energized as by grounding at 73.
- shift register 78 energizes two output lines leading to a transistor 79 and connected resistor 80, in a relation turning on the transistor and producing a signal in its collector line 81.
- This signal is of a character to combine with the condition then present in line 77 and act through an nor circuit 82 to produce an output in line 39 which energizes the latches 35, 36, 37, and 38 to store therein the instantaneous then present counts in counters 31, 32, 33, and 34.
- the second pulse received through line 30 actuates the shift register to its next stage, which turns off the transistor 79.
- the third pulse turns on a second transistor 84, and the fourth pulse turns that second transistor off.
- a signal is conducted therefrom through a line 85 to the reset lines of the four counters 31, 32, 33, and 34, to reset those counters to zero.
- This reset signal must travel through a selector switch 23 (whose actuator is illustrated in FIG. 1 at 23).
- the electrical circuitry is energized by appropriate batteries contained within the case of the device, typically including a four and one-half volt battery 85 and a nine volt battery 86.
- the circuitry is desirably designed to supply power to those digits only during predetermined intervals. More particularly, the apparatus may function to supply power to the digits only during the timed five second period in which multivibrator 74 supplies a signal to its output line 76 (just after each actuation of switch 22).
- This signal in line 76 acts during the five second interval to turn on a transistor 184, which with two resistors 185 and 186 is connected across both batteries, with the output of transistor 184 functioning to turn on another transistor 87 whose emitter is connected to the negative side of battery 86, and whose collector is connected through a line 88 and a resistor 89 to decoder 97.
- the line 88 is also connected through a resistor 90 to'a transistor 91, to turn on that transistor and supply power to counter-decoder-driver 71.
- the power supplied to units 97 and 71 through line 88 is the power which is delivered through lines 58 and 72 to the digits, under the control of the counting mechanisms, to energize the digits.
- the auxiliary display switch 24 is manually actuable at any time, to energize the digits and render them visible at times between the five second intervals when they are automatically illuminated.
- the number of laps completed in the race are counted by counting the number of actuations of the lap switch 22.
- This lap counting signal is taken in FIG. 2 from the output side of transistor 84, through a line 93, which actuates a decimal or divide-by-ten counter 94, and a second similar counter 95.
- These two counters may produce BCD outputs, which are decoded to seven digit signals in lines 96 by decoders 97, to energize the two electroluminescent seven segment digits 13 and 14, to indicate the number of laps from zero through ninety-nine.
- the two counters 94 and 95 may be reset to zero by actuation of reset switch 25.
- Digits l3 and 14 are illuminated by power derived from the previously mentioned line 88, through a line 188 leading to decoders 97, to thereby energize these digits along with all of the others whenever switch 24 is closed or transistor 87 is turned on.
- the counter readings which are caught by latches 35 through 38 act through multiplexer 40 and decoder 57 to control energization of the four digits 17, 18, 19, and 20, to produce displays corresponding to the instantaneous settings of the counters 31 through 34 at the time of actuation of the latches.
- the digit l6 represents the minutes reading at that time, as previously outlined. All of these digits 16, 17, 18, 19, and are automatically illuminated for five seconds after actuation of switch 22, by the output signal on line 76 acting through transistors 84 and 87. This five second interval is sufficient time for the operator to view the illuminated digits, following which they are automatically deenergized to conserve battery power until the next successive actuation of switch 22.
- the lap counters 94 and 95 control digits 13 and 14 which indicate the number of laps (the number of actuations of switch 22).
- switch 23 is opened after an initial actuation of switch 22 (at the commencement of the first lap) and is kept open thereafter so that the counters 31 to 34 are not reset at the end of each lap, but rather maintain a running total causing display of the total time elapsed on each subsequent actuation of switch 22.
- FIG. 3 is a view similar to FIG. 2 but showing a variational circuit which is especially designed to allow the timing of both the lap (or total) time of a particular racer as discussed above, and the split time or lead time between that racer and another car. Most of the circuitry of FIG. 3 is identical with that of FIG.
- FIG. 3 includes four display digit units 17a, 18a, 19a, and 20a, corresponding to digits 17 through 20 of FIG.
- FIG. 3 Added to FIG. 3 over and above the circuitry of FIG. 2 is an additional manually operated actuating switch 100, which upon closure supplies an input signal to a second four bit shift register 101, having a transistor 102 which is related to register 101 in the same manner that transistor 79a is related to register 78a, to turn on transistor 102 on the first 1600 cycle pulse of frequency divider 27a, and turn off the transistor on the second pulse.
- the output from transistor 102 is connected to line 39a to actuate latches 35a through 38a to their count holding condition almost simultaneously with the actuation of switch 100.
- the signal formed in line 103 upon closure of switch 100 also turns on a transistor 104, which turns on a second transistor 105, to supply power to the decoder 57a for illuminating the digits 17a, 18a, 19a, and 20a.
- FIG. 3 device In using the FIG. 3 device, assume that the operator has closed selector switch 230 corresponding to switch 23 in FIG. 2, and then desires to measure both lap times and split times in an automobile race. As a first car passes the location of the timer, the user presses pushbutton 22a to supply a signal through one shot multivibrator 74a to shift register 78a, in a manner first energizing latches 35a through 38a to catch the instantaneous counts on counters 31a through 34a, and then resetting the counters, all in a manner previously discussed in connection with FIG. 2. The counters thus commence counting the pulses from frequency divider 27a, to maintain a count representing decimally in seconds the elapsed time since the actuation of switch 22a.
- Energization of line 106 through transistors 104 and 105 supplies power to decoder 57a, for illuminating the numerals in the patterns determined by the multiplexed signals from unit 48. These numerals remain illuminated so long as switch remains closed, but go out as soon as that switch is opened.
- switch 220 again to supply a signal to register 78a through one shot multivibrator 74a. This shift register actuates latches 35a through 38a and resets the counters 31a through 34a.
- the one shot multivibrator 74a maintains energization of line 106 for a timed five second interval, to illuminate the numerals for that five second period, and then automatically turn the numerals off.
- each actuation of switch 22a results in a brief display of numerals representing the instantaneous reading of the counters at the time that the switch was actuated, without interrupting the flow of pulses to the countes, so that each lap is timed by the timer, with the periodic displays indicating either individual lap time or total elapsed time as determined by the setting of switch 23a.
- a timer comprising means for generating a series of uniformly timed pulses, counter means for counting said pulses, memory means actuable by said counter means to conditions representing different counts instantaneously attained by said counter means, control means for actuating said memory means at different selected times to remember said instantaneous counts, and display means for producing displays representing said instantaneous counts, said counter means being operable to count said pulses continuously up to a first of said times for inclusion in a first of said displays and t0 thereafter continue to count said pulses from said first time to the next successive one of said selected times for inclusion in the next successive one of said displays, said counter means including a plurality of interconnected decade counters, said memory means including a plurality of latches for remembering instantaneous settings of said decade counters respectively, said control means including an element manually actuable to operate said latches to remember an instantaneous count in said decade counters without interrupting operation of the decade counters, so that the decade counters count both before and after actuation of the latches,
- a timer comprising means for generating a series of uniformly timed pulses, counter means for counting said pulses, memory means actuable by said counter means to conditions representing different counts instantaneously attained by said counter means, control means for actuating said memory means at different selected times to remember said instantaneous counts, and display means for producing displays representing said instantaneous counts, said counter means being operable to count said pulses continuously up to a first of said times for inclusion in a first of said displays and to thereafter continue to count said pulses from said first time to the next successive one of said selected times for inclusion in the next successive one of said displays, said pulse generating means including an oscillator and a frequency divider actuable thereby, said counter means including a plurality of interconnected decade counters representing decimally a time in seconds, said memory means including a plurality of latches for remembering the instantaneous settings of said different counters respectively, said control means including a manually actuable switch for determining the instant at which a time reading is to be taken, a
- control means include an additional switch actuable manually and separately from said first switch, and an additional shift register actuable by said additional switch to actuate said latches to remember the settings of said counters but to do so without resetting of the counters.
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Abstract
Description
Claims (11)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
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US344172A US3876867A (en) | 1973-03-23 | 1973-03-23 | Electronic timer |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
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US344172A US3876867A (en) | 1973-03-23 | 1973-03-23 | Electronic timer |
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US3876867A true US3876867A (en) | 1975-04-08 |
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US344172A Expired - Lifetime US3876867A (en) | 1973-03-23 | 1973-03-23 | Electronic timer |
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Cited By (17)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3976867A (en) * | 1975-12-10 | 1976-08-24 | Rca Corporation | Calculator timer with simple base-6 correction |
US3980868A (en) * | 1975-04-04 | 1976-09-14 | Thompson Francis T | Digital yacht racing timing system |
US4001561A (en) * | 1975-09-04 | 1977-01-04 | Quaintance William J | Device for measuring and indicating reading speed |
US4063409A (en) * | 1976-01-05 | 1977-12-20 | Intel Corporation | Custom watch |
US4081664A (en) * | 1975-04-11 | 1978-03-28 | Sharp Kabushiki Kaisha | Calculator operation time period counter in a combination of electronic timepiece and electronic calculator |
US4086473A (en) * | 1976-02-10 | 1978-04-25 | Tokyo Shibaura Electric Co., Ltd. | Display device for electronic apparatus |
US4090133A (en) * | 1977-01-06 | 1978-05-16 | Bell Telephone Laboratories, Incorporated | Digital time interval sensor using a free running counter and a cycle counter with only the latter being reset at each event |
US4139900A (en) * | 1976-10-21 | 1979-02-13 | Rca Corporation | Ground station data storage system |
US4221266A (en) * | 1978-10-13 | 1980-09-09 | International Harvester Company | Digital memory depth tillage system |
US4221958A (en) * | 1976-10-28 | 1980-09-09 | Canon Kabushiki Kaisha | Electronic equipment for accessing by key operation |
US4277747A (en) * | 1977-05-05 | 1981-07-07 | Mks Instruments, Inc. | Wide range digital meter |
US4295037A (en) * | 1979-04-23 | 1981-10-13 | Miller Gary L | Production counter apparatus |
EP0130150A1 (en) * | 1983-06-23 | 1985-01-02 | Tag-Heuer S.A. | Electronic chronograph, especially in a watch |
US4549570A (en) * | 1982-10-12 | 1985-10-29 | Cook Kenneth D | Waste disposal monitoring system |
EP0268255A2 (en) * | 1986-11-18 | 1988-05-25 | Citizen Watch Co. Ltd. | Stop watch |
US5408446A (en) * | 1990-01-31 | 1995-04-18 | Casio Computer Co., Ltd. | Stopwatch with target time function |
US20180159546A1 (en) * | 2015-06-16 | 2018-06-07 | Telefonaktiebolaget Lm Ericsson (Publ) | Frequency Divider, Phase-Locked Loop, Transceiver, Radio Station and Method of Frequency Dividing |
Citations (4)
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---|---|---|---|---|
US2851596A (en) * | 1954-04-15 | 1958-09-09 | Hewlett Packard Co | Electronic counter |
US2864948A (en) * | 1954-06-18 | 1958-12-16 | Cons Electrodynamics Corp | Data transfer control circuit |
US3063631A (en) * | 1959-10-19 | 1962-11-13 | Texas Instruments Inc | Method and apparatus for recording digital counter values |
US3594643A (en) * | 1969-05-22 | 1971-07-20 | Data Time | Electrical timing apparatus with interruptible time presentation |
-
1973
- 1973-03-23 US US344172A patent/US3876867A/en not_active Expired - Lifetime
Patent Citations (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US2851596A (en) * | 1954-04-15 | 1958-09-09 | Hewlett Packard Co | Electronic counter |
US2864948A (en) * | 1954-06-18 | 1958-12-16 | Cons Electrodynamics Corp | Data transfer control circuit |
US3063631A (en) * | 1959-10-19 | 1962-11-13 | Texas Instruments Inc | Method and apparatus for recording digital counter values |
US3594643A (en) * | 1969-05-22 | 1971-07-20 | Data Time | Electrical timing apparatus with interruptible time presentation |
Cited By (21)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US3980868A (en) * | 1975-04-04 | 1976-09-14 | Thompson Francis T | Digital yacht racing timing system |
US4081664A (en) * | 1975-04-11 | 1978-03-28 | Sharp Kabushiki Kaisha | Calculator operation time period counter in a combination of electronic timepiece and electronic calculator |
US4001561A (en) * | 1975-09-04 | 1977-01-04 | Quaintance William J | Device for measuring and indicating reading speed |
US3976867A (en) * | 1975-12-10 | 1976-08-24 | Rca Corporation | Calculator timer with simple base-6 correction |
US4063409A (en) * | 1976-01-05 | 1977-12-20 | Intel Corporation | Custom watch |
US4086473A (en) * | 1976-02-10 | 1978-04-25 | Tokyo Shibaura Electric Co., Ltd. | Display device for electronic apparatus |
US4139900A (en) * | 1976-10-21 | 1979-02-13 | Rca Corporation | Ground station data storage system |
US4221958A (en) * | 1976-10-28 | 1980-09-09 | Canon Kabushiki Kaisha | Electronic equipment for accessing by key operation |
US4090133A (en) * | 1977-01-06 | 1978-05-16 | Bell Telephone Laboratories, Incorporated | Digital time interval sensor using a free running counter and a cycle counter with only the latter being reset at each event |
US4277747A (en) * | 1977-05-05 | 1981-07-07 | Mks Instruments, Inc. | Wide range digital meter |
US4221266A (en) * | 1978-10-13 | 1980-09-09 | International Harvester Company | Digital memory depth tillage system |
US4295037A (en) * | 1979-04-23 | 1981-10-13 | Miller Gary L | Production counter apparatus |
US4549570A (en) * | 1982-10-12 | 1985-10-29 | Cook Kenneth D | Waste disposal monitoring system |
EP0130150A1 (en) * | 1983-06-23 | 1985-01-02 | Tag-Heuer S.A. | Electronic chronograph, especially in a watch |
WO1985000230A1 (en) * | 1983-06-23 | 1985-01-17 | Heuer-Léonidas Sa | Electronic chronograph, particularly analog electronic chronograph-watch, chronometered time counter |
EP0268255A2 (en) * | 1986-11-18 | 1988-05-25 | Citizen Watch Co. Ltd. | Stop watch |
EP0268255A3 (en) * | 1986-11-18 | 1991-03-06 | Citizen Watch Co. Ltd. | Stop watch |
US5408446A (en) * | 1990-01-31 | 1995-04-18 | Casio Computer Co., Ltd. | Stopwatch with target time function |
US20180159546A1 (en) * | 2015-06-16 | 2018-06-07 | Telefonaktiebolaget Lm Ericsson (Publ) | Frequency Divider, Phase-Locked Loop, Transceiver, Radio Station and Method of Frequency Dividing |
US10110238B2 (en) * | 2015-06-16 | 2018-10-23 | Telefonaktiebolaget Lm Ericsson (Publ) | Frequency divider, phase-locked loop, transceiver, radio station and method of frequency dividing |
US10312923B2 (en) | 2015-06-16 | 2019-06-04 | Telefonaktiebolaget Lm Ericsson (Publ) | Electronic circuit, phase-locked loop, transceiver circuit, radio station and method of frequency dividing |
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