The aim of this study is to understand students¡¦ solutions (to problems related to time, time interval, and time unit conversion) and to analyze their common errors and possible causes. Students¡¦ problem-solving strategies and error types were also categorized and used as a reference for improvement in teaching and a scaffold for supporting students' learning. Findings in this research were three: 1. Distinction between time and interval. Students were performing better in the concept of interval than in the concept of time. They also performed well in total time consumed and in daily life problems such as clock time. However, problems with longer text description would make it harder for students to do problem solving in the concept of time and interval. 2. Problem-solving types. The problem-solving types ranked by the frequency are: (1) processing larger units first; (2) converting time from high scale to low scale and vice-versa; (3) using fractions; (4) using decimals; and (5) using addition. 3. Error types: The error types presented by students in solving time-related problems include: (1) interference of the decimal; (2) interference between non-decimal time conversion systems; (3) insufficient knowledge about division; (4) unclear concept about high and low scales of time; (5) incorrect calculation; (6) influence of the clock dial structure; (7) incorrect problem-solving strategy; (8) misjudgment of keywords; and (9) ignorance of problem conditions.

Many construction companies today utilize webcams on their jobsites to monitor and record construction operations. Jobsite monitoring is often limited to outdoor construction operations due to lack of mobility of wired webcams. A wireless webcam may help monitor indoor construction operations with enhanced mobility. The transfer time of sending a photograph from the wireless webcam, however, is slower than that of a wired webcam. It is expected that professionals may have to analyze indoor construction operations with longer interval time-lapse photographs if they want to use a wireless webcam. This research aimed to determine the maximum time interval for time-lapse photos that enables professionals to interpret construction operations and productivity. In order to accomplish the research goal, brickwork of five different construction sites was videotaped. Various interval time-lapse photographs were generated from each video. Worker?s activity in these photographs was examined and graded. The grades in one-second interval photographs were compared with the grades of the same in longer time interval photographs. Error rates in observing longer time-lapse photographs were then obtained and analyzed to find the maximum time interval of time-lapse photography for monitoring construction operations. Research has discovered that the observation error rate increased rapidly until the 60-second interval and its increasing ratio remained constant. This finding can be used to predict a reasonable amount of error rate when observing time-lapse photographs less than 60-second interval. The observation error rate with longer than 60-second interval did not show a constant trend. Thus, the 60-second interval could be considered as the maximum time interval for professionals to interpret construction operations and productivity.

The two most common methods to measure resting metabolic rate using indirect calorimetry are steady state or time interval. Steady state is commonly defined as the first five minutes in which oxygen consumption and carbon dioxide production vary by <10%. A time interval measurement generally lasts 20-60 minutes. Using steady state criteria is often harder to achieve, but many suggest it more accurately measures resting metabolic rate. Our objective was to determine if there were differences between steady state and time interval measurements in a healthy adult population. Seventy seven subjects were measured for 45 minutes. Inclusion criteria included healthy subjects ages 18-65, excluding pregnant and lactating women. Paired t-tests analyzed differences between measures, and Bland-Altman plots evaluated bias, precision, and accuracy. Of 77 subjects, 84% achieved steady state, and 95% achieved SS by minute 30. Most differences between steady state and time intervals were statistically but not practically significant. Bland-Altman plots showed steady state measurements were generally lower indicating that steady state is more indicative of resting metabolic rate. Minutes 6-25 were most precise, accurate and fairly unbiased compared to steady state. We recommend measuring a subject for 30 minutes and using steady state criteria of <10% variation of oxygen consumption and carbon dioxide production for five minutes if a subject is able to achieve it. However, if a subject cannot achieve steady state, we recommend averaging minutes 6-25.

The paper constructs recidivism prediction models for women drug prisoners, using the 10 factors evaluated in "drug recidivism risk assessment form" by correctional institutions and the 18 factors studied in the literature. With the new recidivism prediction model, I hope to help improving the prediction accuracy of women drug prisoners¡¦ recidivism. The sample in the paper includes 1,029 drug prisoners released from Kaohsiung Women's Prison between 2008 and 2011. All criminal records are traced until the end of 2011. Two sets of potential risk factors of recidivism are considered in the paper. The first set only contains the factors in the evaluation form, and the second set includes all relevant factors. Using Logistic Regression Analysis and Survival Analysis, the effects of potential risk factors on recidivism are examined. I also predict the probability and the time interval of recidivism. Using the Logistic regression model with the risk factors only in the evaluation form, 58.4% of recidivism can be correctly predicted. While extending the set of potential risk factors, the screening rate of recidivism can be enhanced to 73.3%. The median forecast results are far superior to the average forecast in Survival Analysis. With the potential risk factors in the evaluation form, the difference of predicted recidivism date and the actual date is less than 60 days and less than 180 days in 2.5% and 9.6% of sample respectively. With all relevant risk factors, prediction, the share of sample whose difference of predicted recidivism date and the actual date is less than 60 days and less than 180 days are significantly improved to 10.2% and 27.3% respectively.

In this thesis work, a new partial discharge magnitude indicator with LCD display was designed. This system was implemented in high voltage partial discharge detection and measurement systems. AVRISP In-System programmer is used to program the microprocessors used inside the display unit. The time resolution of the system (one pixel of the display unit) is 4 microseconds. The unit is capable of counting the number of impulses of the input voltage that is coming from the high voltage system within user selectable time intervals. The changeable values of the time intervals are 2, 4, 6, 8 and 10 seconds. It is also capable of showing the maximum value of the impulses in a given time interval. This maximum value is a number changing between 0 and 256. By calibration of the system, it was possible to indicate the discharge magnitudes in picocoulombs.

Abstract The aim of this thesis was to develop time-to-digital converters (TDC) for the integrated receiver of a pulsed time-of-flight (TOF) laser rangefinder aiming at cm-level accuracy over an input range of 10 m&#160;–&#160;15 m. A simple structure, a high integration level and low power consumption are the desired features for such a TDC. From the pulsed TOF laser rangefinder point of view an integrated receiver consisting of both the TDC and the receiver channel on the same die offers the possibility of manufacturing these laser rangefinders with a high integration level and at a low price to fulfil the needs of mass industrial markets. The heart of the TDC is a CMOS ring oscillator, the clock frequency of which is used to calculate the full clock cycles between timing signals, the positions of the timing signals inside the clock period being determined by storing the state of the phase of the ring oscillator for each timing signal. This will improve the resolution of the TDC. Also, additional delay lines are used to generate multiple timing signals, each having a time difference of a fraction of that of the ring oscillator. This will further improve the resolution of the whole TDC. To achieve stable results regardless of temperature and supply voltage variations, the TDC is locked to an on-chip reference voltage, or the resolution of the TDC is calibrated before the actual time interval measurement. The systematic walk error in the receiver channel caused by amplitude variation in the received pulse is compensated for by the TDC measuring the slew rate of the received pulse. This time domain compensation method is not affected by the low supply voltage range of modern CMOS technologies. Three TDC prototypes were tested. A single-shot precision standard deviation of 16 ps (2.4&#160;mm) and a power consumption of 5.3&#160;mW/channel were achieved at best over an input range of 100 ns (15 m). The temperature drifts of an on-chip voltage reference-locked TDC and a TDC based on the calibration method were 90 ppm/&#176;C and 0.27 ps/&#176;C, respectively. The results also showed that a pulsed TOF laser rangefinder with cm-level accuracy over a 0&#160;–&#160;15 m input range can be realized using the integrated receiver with the time domain walk error compensation described here. / Tiivistelmä Väitöskirjatyön tavoitteena oli kehittää aika-digitaalimuunninrakenteita valopulssin kulkuajan mittaukseen perustuvan lasertutkan integroituun vastaanottimeen. Tavoitteena oli saavuttaa senttimetriluokan tarkkuus 10&#160;m&#160;–&#160;15&#160;m mittausalueella koko lasertutkan osalta. Aika-digitaalimuuntimelta vaaditaan yksinkertaista rakennetta, korkeaa integroimisastetta ja matalaa tehonkulutusta. Integroitu vastaanotin sisältää sekä aika-digitaalimuuntimen että vastaanotinkanavan ja tarjoaa mahdollisuuden korkeasti integroidun lasertutkan valmistukseen halvalla teollisuuden massamarkkinoiden tarpeisiin. Aika-digitaalimuuntimen ytimenä toimii monivaiheinen CMOS-rengasoskillaattori. Aika-digitaalimuunnos perustuu rengasoskillaattorin täysien kellojaksojen laskentaan laskurilla ajoitussignaalien välillä. Lisäksi rengasoskillaatorin jokaisesta vaiheesta otetaan näyte ajoitussignaaleilla niiden paikkojen määrittämiseksi kellojakson sisällä, jolloin aika-digitaalimuuntimen erottelutarkkuutta saadaan parannettua. Erottelutarkkuutta parannetaan lisää viivästämällä ajoitussignaaleja viive-elementeillä ja muodostamalla näin useita erillisiä ajoitussignaaleja, joiden väliset viive-erot ovat murto-osa rengasoskillaattorin viive-elementin viiveestä. Aika-digitaalimuunnin stabiloidaan käyttöjännite- ja lämpötilavaihteluja vastaan lukitsemalla se integroidun piirin sisäiseen jännitereferenssiin, tai sen erottelutarkkuus määritetään ennen varsinaista aikavälinmittausta erillisellä kalibrointimittauksella. Vastaanotetun valopulssin amplitudivaihtelun aiheuttama systemaattinen ajoitusvirhe integroidussa vastaanotinkanavassa kompensoidaan mittaamalla vastaanotetun valopulssin nousunopeus aika-digitaalimuuntimella. Tällainen aikatasoon perustuva kompensointimetodi on myös suorituskykyinen nykyisissä matalakäyttöjännitteisissä CMOS-teknologioissa. Työssä valmistettiin ja testattiin kolme aika-digitaalimuunninprototyyppiä. Muuntimien kertamittaustarkkuuden keskihajonta oli parhaimmillaan 16 ps (2,4 mm) ja tehonkulutus alle 5,3&#160;mW/kanava mittausetäisyyden olessa alle 100 ns (15 m). Sisäiseen jännitereferenssiin lukitun aika-digitaalimuuntimen lämpötilariippuvuudeksi mitattiin 90 ppm/&#176;C ja kalibrointimenetelmällä saavutettiin 0,27 ps/&#176;C lämpötilariipuvuus. Työssä saavutetut tulokset osoittavat lisäksi, että valopulssin kulkuajan mittaukseen perustuvalla lasertutkalla on saavutettavissa senttimetriluokan tarkkuus 0&#160;–&#160;15 m mittausalueella käyttämällä tässä työssä esitettyä integroitua vastaanotinta ja aikatason ajoitusvirhekompensointia.

Abstract This thesis describes the development of a high precision time-to-digital converter (TDC) in which the conversion is based on a counter and three-stage stabilised delay line interpolation developed in this work. The biggest design challenges in the design of a TDC are related to the fact that the arrival moment of the hit signals (start and stop) is unknown and asynchronous with respect to the reference clock edges. Yet, the time interval measurement system must provide an immediate and unambiguous measurement result over the full dynamic range. It must be made sure that the readings from the counter and the interpolators are always consistent with very high probability. Therefore, the operation of the counter is controlled with a synchronising logic that is in turn controlled with the interpolation result. Another synchronising logic makes it possible to synchronise the timing signals with multiphase time-interleaved clock signals as if the synchronising was done with a GHz-level clock, and enables multi-stage interpolation. Multi-stage interpolation reduces the number of delay cells and registers needed. The delay line interpolators are stabilised with nested delay-locked loops, which leads to good stability and makes it possible to improve single-shot precision with a single look-up table containing the integral nonlinearities of the interpolators measured at the room temperature. A multi-channel prototype TDC was fabricated in a 0.6 μm digital CMOS process. The prototype reaches state-of-the-art rms single-shot precision of better than 20 ps and low power consumption of 50 mW as an integrated TDC.

In radar target tracking problems, it may be required to use adaptive update rate in order to maintain the tracking accuracy while allowing the radar to use its resources economically at the same time. This is generally the case if the target trajectory has maneuvering segments and in such a case the use of adaptive update time interval algorithms for estimation of the target state may enhance the tracking accuracy. Conventionally, fixed track update time interval is used in radar target tracking due to the traditional nature of mechanically steerable radars. In this thesis, as an application to phased array radar, the adaptive update rate algorithm approach developed in literature for Alpha-Beta filter is extended to Kalman filter. A survey over relevant adaptive update rate algorithms used previously in literature on radar target tracking is presented including aspects related to the flexibility of these algorithms for the tracking filter. The investigation of the adaptive update rate algorithms is carried out for the Kalman filter for the single target tracking problem where the target has a 90&deg / maneuvering segment in its trajectory. In this trajectory, the starting and final time instants of the single maneuver are specified clearly, which is important in the assessment of the algorithm performances. The effects of incorporating the variable update time interval into target tracking problem are presented and compared for several different test cases.

Abstract The aim of this work was to develop time-to-digital converters(TDC) with a wide measurement range of several hundred microseconds and with a measurement precision of a few picoseconds. Because of these requirements, the focus of this work was mainly on TDC architectures based on the Nutt interpolation method, which has several advantages when a long measurement range is a requirement. Compared to conventional data converters the characteristics of a Nutt TDC differ significantly when, for example, quantization errors and linearity errors are considered. In this thesis, the operating principle of a Nutt TDC is analysed and, in particular, the effects of reference clock instabilities are studied giving new insight how the different phase noise processes can be reliably translated into time interval jitter, and how these affect the measurement precision when very long time intervals are measured. Furthermore, these analytical results are confirmed by measurements conducted with a long-range TDC designed as part of this work. Two long-range TDCs have been designed, each based on different interpolator architectures. The first TDC utilises discrete component time-to-voltage converters(TVC) as interpolators. Other key functionality is implemented on an FPGA. The interpolators use Miller integrators to improve the linearity and the single-shot precision of the converter. The TDC has a nominal measurement range of 84ms and it achieves a single-shot precision of 2ps for time intervals shorter than 2ms, after which the precision starts to deteriorate due to the phase noise of the reference clock. In addition to the discrete TDC, an integrated long-range CMOS TDC has been designed with 0.35μm technology. Instead of TVCs, this TDC features cyclic/algorithmic interpolators, which are based on switched-frequency ring oscillators(SRO). The frequency switching is used as a mechanism to amplify quantization error, a key functionality required by any cyclic or a pipeline converter. The interpolators are combined with a 16-bit main counter giving a total range of 327μs. The RMS single-shot precision of the TDC is 4.2ps without any nonlinearity compensation. Furthermore, a calibration functionality implemented partially on-chip ensures that the accuracy of the TDC varies only ±2.5ps in a temperature range of -30C to 70C. Although implemented with fairly old technology, the interpolators’ effective linear range and precision represent state-of-the-art performance. / Tiivistelmä Tämän työn tavoitteena oli kehittää aika-digitaalimuuntia (TDC), joilla on laaja satojen mikrosekuntien mittausalue ja muutaman pikosekunnin kertamittaustarkkuus. Näistä vaatimuksista johtuen tässä työssä keskitytään pääasiassa Nuttin interpolointimenetelmään perustuviin TDC-arkkitehtuureihin. Verrattuna tavanomaisiin datamuuntimiin, Nutt TDC:n toiminta poikkeaa merkittävästi, kun tarkastellaan kvantisointi- ja lineaarisuusvirhettä. Tässä väitöskirjatyössä Nuttin menetelmään perustavan TDC:n toiminta analysoidaan, jonka yhteydessä tutkitaan erityisesti referenssioskillaattorin epästabiilisuuksien vaikutusta mittausepävarmuuteen. Tämän pohjalta vaihekohinan eri kohinaprosessit voidaan luotettavasti muuntaa taajuustason kohinatiheysmittauksista aika-tasossa kuvattavaksi aikavälijitteriksi. Nämä teoreettiset tulokset ovat varmistettu yhdellä osana tätä työtä suunnitellulla pitkän kantaman TDC:llä. Teoreettisen tarkastelun lisäksi kaksi pitkän kantaman TDC:tä on suunniteltu, toteutettu ja testattu. Ensimmäinen näistä perustuu erilliskomponenteilla toteutettuun aika-jännitemuunnokseen (TVC) pohjautuvaan interpolointimenetelmään. Analogisten interpolaattoreiden ohella muu olennainen toiminnallisuus toteutettiin FPGA:lle. Interpolaattorit käyttävät Miller-integraattoreita lineaarisuuden ja kertamittaustarkkuuden parantamiseksi. TDC:n nimellinen mittausalue on 84ms ja sillä saavutetaan 2ps:n kertamittaustarkkuus, kun mitattava aikaväli on lyhyempi kuin 2ms, minkä jälkeen mittaustarkkuus heikkenee referenssioskillaattorin vaihekohinan vaikutuksesta. Toinen pitkän kantaman TDC perustuu 0.35μm:n CMOS teknologialla totetutettuun integroituun piiriin. Aika-jännitemuunnoksen sijasta tämä TDC perustuu sykliseen/algoritmiseen interpolointitekniikkaan, jossa taajuusmoduloitua rengasoskillaattoria(SRO) käytetään kvantisointivirheen vahvistamiseksi. Interpolaattorit ovat yhdistetty 16-bittiseen referenssioskillaattorin laskuriin, jolloin TDC:n mittausalue on noin 327μs. Tämän TDC:n RMS kertamittaustarkkuus on 4.2ps, joka saavutetaan ilman epälineaarisuuden kompensointia. Samalle piirille on lisäksi toteutettu kalibrointitoiminnallisuus, jolla varmistetaan TDC:n hyvä mittaustarkkuus kaikissa olosuhteissa. Mittaustarkkuus poikkeaa maksimissaan vain ±2.5ps, kun lämpötila on välillä -30C-70C. Vaikka TDC on toteutettu kohtalaisen vanhalla CMOS teknologialla, interpolaattoreiden efektiivinen lineaarinen alue ja mittaustarkkuus edustavat alansa huippua.

Abstract The aim of this work was to improve the performance and usability of a digital time-to-digital converter (TDC) in CMOS technology. The characteristics of the TDC were improved especially for the needs of pulsed laser time-of-flight (TOF) distance measurement, where picosecond-level precision with a long µs-level measurement range is needed in order to approach mm-level measurement accuracy. Stability in the face of process, voltage and temperature variations, multiple measurement channels, alternative measurement modes, a high integration level, standard interfaces and simple usage were the main features for development. The measurement architecture is based on counter and timing signal interpolation on two levels. The counter counts the full reference clock cycles between the timing signals, while a new recycling delay line developed in this thesis interpolates within the reference clock cycle. This technique utilizes a short delay line several times per reference clock cycle, which minimizes the interpolation nonlinearity. The same structure also makes the use of a low, MHz-level reference frequency possible, and thus only a crystal is needed as an external oscillator component. The parallel load capacitor-scaled delay line structure acts as the second, sub-gate-delay interpolation level. The INL does not accumulate in elements connected in parallel, and the load capacitance differences enable high, ps-level resolution to be achieved. Four TDC circuits in 0.35 µm CMOS technology were designed and tested in the course of this work, of which the latest, a 7-channel TDC, is able to measure the time intervals between the start pulse and three separate stop pulses in one measurement and to resolve the pulse widths or rise times at the same time. In laser TOF distance measurement this functionality can be used when several echoes arrive at the receiver, and also to compensate for the detection threshold problem known as timing walk error. The TDC achieves 8.9&#160;ps interpolation resolution within the cycle time of a 20&#160;MHz reference clock using only 8 delay elements on the first interpolation level and 14 delay elements on the second. A measurement precision better than 9&#160;ps was achieved without using result post-processing or look-up tables. This work shows that versatile, high performance TDCs can be created in standard CMOS technology. / Tiivistelmä Väitöskirjatyön tavoitteena oli parantaa CMOS-aika-digitaalimuuntimien suorituskykyä ja käytettävyyttä. Muuntimen ominaisuuksia kehitettiin erityisesti laseretäisyysmittauksen tarpeita ajatellen, missä millimetritason mittaustarkkuus laajalla mittausaluella edellyttää aika-digitaalimuuntimelta pikosekuntitason tarkkuutta mikrosekuntien mittausalueella. Stabiilius prosessiparametri-, jännite- ja lämpötilavaihteluita vastaan, useat mittauskanavat, useat mittausmoodit, korkea integraatioaste, standardoidut liitäntäväylät ja helppo käytettävyys olivat erityisesti kehityksen kohteina. Suunniteltu mittausarkkitehtuuri koostuu laskurista ja kaksitasoisesta ajoitussignaali-interpolaattorista. Laskuri laskee kokonaiset referenssikellojaksot ajoitussignaalien välillä ja työssä kehitetty referenssiä kierrättävä viivelinjarakenne rekistereineen interpoloi ajoitussignaalien paikat referenssikellojaksojen sisältä. Referenssinkierrätystekniikka hyödyntää lyhyttä viivelinjaa useampaan kertaan kellojakson aikana, mikä minimoi epälineaarisuuden interpoloinnissa. Sama rakenne mahdollistaa myös MHz-tason referenssitaajuuden, jolloin matalataajuista kidettä voidaan käyttää referenssilähteenä. Toinen interpolointitaso koostuu rinnakkaisista kapasitanssiskaalatuista viive-elementeistä, mitkä mahdollistavat alle porttiviiveen mittausresoluution. Rinnakkaisessa rakenteessa elementtien epälineaarisuudet eivät summaudu, mikä mahdollistaa pikosekuntitason mittaustarkkuuden. Väitöskirjatyössä suunniteltiin ja toteutettiin neljä aikavälinmittauspiiriä käyttäen 0,35&#160;µm CMOS-teknologiaa, joista viimeisin, 7-kanavainen muunnin kykenee mittaamaan aikavälin useampaan pulssiin yhdellä kertaa sekä voi selvittää samalla pulssien leveydet tai nousuajat. Laseretäisyysmittauksessa monikanavaisuutta voidaan käyttää kun useita kaikuja lähetetystä pulssista saapuu vastaanottimeen sekä kompensoimaan mittauksessa esiintyviä muita virhelähteitä. Käytettäessä 20&#160;MHz:n kidettä referenssilähteenä muunnin saavuttaa alle 9&#160;ps:n interpolointiresoluution ja tarkkuuden ilman epälineaarisuudenkorjaustaulukoita. Työ osoittaa, että edullisella CMOS-teknologialla voidaan toteuttaa monipuolinen ja erittäin suorituskykyinen aika-digitaalimuunnin.