Abstract: A method of operating a resolver management device according to the present invention includes: generating an excitation signal by using an external control signal; counting a time interval (a first delay time) to a first pole of the excitation signal based on one period of the external control signal by using an internal clock; receiving an excitation signal reflected from a resolver sensor; counting a time interval (a second delay time) to a second pole of the reflected excitation signal at the first pole by using the internal clock; and transmitting a first count value corresponding to the first delay time and a second count value corresponding to the second delay time to a microcontroller unit (MCU).

Abstract: An integrated controller for implementing a quality of service when storing input/output data across an array is provided. The integrated controller receives the input/output data from at least one of a file system and an upper layer application. The input/output data can be associated with a quality of service classification. The integrated controller also splits the input/output data into data chunks and determines whether the quality of service classification indicates a first priority or a second priority for each of the data chunks. Then, if the quality of service classification indicates the first priority, the integrated controller proceeds to place the data chunks across a first partition of a disk of the array.

Abstract: A system for providing an accumulated phase to an interpolator of a read channel, the interpolator configured to provide a digital clock signal. A frequency accumulator is configured to generate a frequency offset based on a difference between the digital clock signal and a desired clock signal. A zero phase start module is configured to, during a zero phase start, output an incremental phase jump. A phase accumulator is configured to generate the accumulated phase based on the difference between the digital clock signal and the desired clock signal, and, during the zero phase start, the incremental phase jump output by the zero phase start module, or the frequency offset generated by the frequency accumulator or a predetermined frequency offset.

Abstract: A digital loop filter receives a phase error output from a phase comparator to generate a digital frequency value. This digital frequency value is converted into an analog voltage by a D/A converter, and VCO outputs a synchronizing dock of frequency corresponding to the voltage output from the D/A converter. The phase error output from a phase comparator is gain-corrected by a product of an output from the digital loop filter and a specific coefficient “A”, and delivered to digital loop filter. The phase error input to the digital loop filter is changed in proportion to the output clock frequency, whereby the PLL loop as whole linearly controls the loop characteristic depending on the output clock frequency.

Abstract: In a system of detecting an interference light with a light not irradiated onto an optical disc to increase the S/N ratio, it is difficult to stably acquire a reproduced signal with a simple configuration. Since the recording density is not improved, an improvement in transfer rate is difficult. In an optical information recording/reproducing apparatus where two optical beams face each other and are focused at the same place of a recording medium to record a standing wave developed by interference of the two optical beams, a phase difference of the two optical beams is modulated in a multiple stage and recorded. During reproduction, an interference light of a reproduced light from the recording medium and another reproduction reference light is detected as a reproduced signal, and a phase servo control stabilizing the phase of interference during reproduction by using a low frequency component of the reproduced signal is conducted.

Abstract: A reading unit reads sound signals recorded in a recording medium. A buffer unit temporarily stores the sound signals which is read by the reading unit. A recording unit records the sound signal which is temporarily stored in the buffer unit. A reproducing unit reproduces the sound signals which is recorded in the recording unit. A controller controls reading speed of the reading unit. The sound signals include a first set of signals and a second set of signals. The reading unit reads the first set of signals at a first reading speed and reads the second set of signals at a second reading speed which is faster than the first reading speed after reading the first set of signals.

Abstract: Provided are a variable delay circuit, a recording apparatus, and a delay amount calibration method. The variable delay circuit includes a delay line in which a delay amount is variably set, a delay setting unit that performs delay setting of the delay line using a unit delay control value, in a calibration period, overlaps a test pulse with the input signal, and generates a comparison pulse, and a unit delay determining unit that sets the delay of the unit delay amount in the delay line by providing the unit delay control value to the delay setting unit in the calibration period, determines the unit delay control value equivalent to the unit delay amount based on a phase comparison result between the comparison pulse and the test pulse, and provides, to the delay setting unit, the determined unit delay control value as the unit delay control value of a calibration result.

Abstract: In one embodiment the present invention includes a circuit comprising a switch and a switch driver. The switch is configured to provide synchronous rectification switching of a back-EMF voltage. The synchronous rectification switching produces a source voltage. The switch driver is configured to receive the back-EMF voltage and the source voltage. The switch driver provides a control signal to a control terminal of the switch. The control signal has a frequency. The frequency is used to control an amount of the synchronous rectification switching. Accordingly, the frequency reduces a dissipated power associated with the synchronous rectification switching.

Abstract: An asynchronous timing detector 3 detects and measures a specific pattern (sync pattern) of audio and video reproduced signals having a digital value form an A/D converter 2 and its appearance interval based on an asynchronous clock generated by an asynchronous clock generator 4, and calculates a cycle ratio of the measured sync pattern appearance interval (the number of clock pulses of the asynchronous clock) to a normal value (the number of clock pulses of a synchronous clock obtained by measuring a sync pattern appearance interval using the synchronous clock). A pseudo-synchronous clock generator 7 thins the asynchronous clock based on the cycle ratio to generate a pseudo-synchronous clock which is pseudo-synchronous with channel data. Therefore, even when an initial frequency error is large, frequency and phase pull-in is relatively quickly performed until a timing recovery operation becomes stable.

Abstract: A controller estimates Coulomb friction itself together with inertia and viscous friction, and reduces the influence of the Coulomb friction on the accuracy of the estimated inertia. In addition, the controller estimates inertia, viscous friction and Coulomb friction simultaneously with sequential adaptation in which a Fourier transformer is not used but an inverse transfer function model is used in order to minimize the estimated error. Data sampled for a predetermined time need not be accumulated, as a result, a large amount of data memory is unnecessary.

Abstract: A tracking signal generating apparatus includes a phase detector and a digital phase controller. The phase detector generates an up signal and a down signal which contain information regarding a phase difference between a plurality of square wave signals that have been generated from an optical signal. The digital phase controller generates an up limit signal or a down limit signal whose logic levels are controlled so that a phase difference between the up limit signal and the down limit signal is reduced.

Abstract: In a coupled ring oscillator including q ring oscillators each including p inverter circuits connected together to form a ring shape, and a phase coupling ring including (p×q) phase coupling circuits each of which is configured to couple an output of one of the p inverter circuits of one of the q ring oscillators to an output of one of the p inverter circuits of another one of the q ring oscillators in a predetermined phase relationship, and which are connected together to form a ring shape, for at least one group made up of one of the p inverter circuits in each of the q ring oscillators, outputs of the q inverter circuits belonging to the at least one group are fixed in phase with one another, the q ring oscillators are caused to oscillate in the in-phase fixed state, and then, the outputs of the q inverter circuits are released from the in-phase fixed state.

Abstract: Bandwidth is secured for a read signal transmission line by matching the characteristic impedance of the read signal transmission line with the output impedance of a photodetector of an optical pick up, while at the same time securing bandwidth for the photodetector. In an optical disc drive according to an embodiment of the present invention, each line forming a differential transmission line is divided into a plurality of lines of the same quantity, the quantity being two or more, at or near a connection point between a flexible line and the optical pick up.

Abstract: An optical disk drive device has an RF equalizer configured to generate an equalized RF signal by controlling a frequency characteristic of a delay time of an RF signal read out from an optical disk based on a control input signal, a playback clock extractor configured to extract a playback clock for reproducing data recorded on the optical disk from the equalized RF signal, and an RF rate controller configured to generate the control input signal inputted to the RF equalizer, wherein the control input signal is a signal for correcting waveform distortion of the RF signal by controlling the delay time of the RF signal dependent on a frequency of the playback clock.

Abstract: To provide an optical disc device 1, and similar, equipped with a new mechanism to reduce laser light noise due to optical feedback. In an optical disc device 1 in which a laser diode is driven by a high frequency modulation method, optical feedback is returned to the laser diode at a timing at which the phase of the injected carrier density is within one of the following ranges: (1) equal to or greater than the peak phase of the injected carrier density of the laser diode, and equal to or less than the peak phase of the injected carrier density of the laser diode plus 3?/8 (radians); or (2) equal to or greater than the peak phase of the injected carrier density of the laser diode plus 9?/8 (radians), and equal to or less than the peak phase of the injected carrier density of the laser diode plus 2? (radians).

Abstract: A laser driving circuit employing a recording compensation circuit configured to generate a light emission timing of a laser on the basis of recorded data and a recording clock signal which are supplied to the recording compensation circuit includes: a phase synchronization circuit; a skew determination circuit; and a data latching circuit.

Abstract: A filter, including a direct-current (DC) tracking unit, a subtracter and a control unit, is provided. The DC tracking unit extracts a DC component of a radio-frequency (RF) signal and accordingly generates a level signal. The subtracter subtracts the level signal from the RF signal to generate a RF coupling signal. The control unit determines whether to transmit a setting signal to the DC tracking unit according to the level variation of the RF coupling signal, so as to adjust a characteristic parameter of the DC tracking unit.

Abstract: Digital audio can be transferred between a portable media player and an accessory. In one embodiment, an interface protocol is used to determine the sample rate capabilities of an accessory, allowing digital audio data for a track to be transmitted to the accessory at a sample rate supported by the accessory. When the sample rate of an audio track is not supported by the accessory, the media player can convert the sample rate of the track to a rate supported by the accessory and transmit the track after conversion. The media player also can use the interface protocol to inform the accessory if the sampling rate should be changed, e.g., due to tracks having different sample rates. The accessory then can send a request to the media player to change the sample rate. The media player then can transmit the digital audio data using the new sample rate.

Abstract: According to one embodiment, an optical recording medium is provided in which interlayer crosstalk is low and in which stable and high-quality recording characteristics can be obtained. To this end, an optical recording medium comprises a first recording part which includes a first recording layer and a first light reflecting layer and which is disposed on a side closer to a light receiving surface, and a second recording part which includes a second recording layer and a second light reflecting layer and which is disposed on a side farther from the light receiving surface, the first recording part and the second recording part being stacked, wherein the thickness of the second light reflecting layer is larger than the thickness of the first light reflecting layer.

Abstract: A data processing apparatus for outputting a plurality of picture data forming reproduced data to a reproduction apparatus for reproduction, the data processing apparatus having a processing circuit for judging if the reproduction rate of the picture data by the reproduction apparatus is slower than a transfer rate for transferring the picture data to the reproduction apparatus and outputting all of the picture data forming the reproduced data to the reproduction apparatus when judging as a result of the judgment that the reproduction rate is slower than the transfer rate.

Abstract: An optical information reproducing method of reproducing multivalued information recorded on a track of an optical information medium having a recording/reproducing region, which has virtual cells arranged thereon at regular spacings, the multivalued information being recorded thereon by changing a length of an information pit in a track direction or an area of the information pit in a cell with the use of a light spot, and the multivalued information being reproduced by detecting the level of a multistage reproduced signal from the information pit.

Abstract: An optical disk drive device has an RF equalizer configured to generate an equalized RF signal by controlling a frequency characteristic of a delay time of an RF signal read out from an optical disk based on a control input signal, a playback clock extractor configured to extract a playback clock for reproducing data recorded on the optical disk from the equalized RF signal, and an RF rate controller configured to generate the control input signal inputted to the RF equalizer, wherein the control input signal is a signal for correcting waveform distortion of the RF signal by controlling the delay time of the RF signal dependent on a frequency of the playback clock.

Abstract: An optical information reproducing method of reproducing multivalued information recorded on a track of an optical information medium having a recording/reproducing region, which has virtual cells arranged thereon at regular spacings, the multivalued information being recorded thereon by changing a length of an information pit in a track direction or an area of the information pit in a cell with the use of a light spot, and the multivalued information being reproduced by detecting the level of a multistage reproduced signal from the information pit.

Abstract: A disk-layer-configuration judging unit (180) of a recording-and-reproducing apparatus (100) judges which of a one-layer disk (10) and a two-layer disk (20) is a disk in which content data is to be recorded. A system controller (280) sets a recording rate to be a conventional recording rate when the disk-layer-configuration judging unit (180) judges that the disk is the one-layer disk (10) while setting the recording rate to be a recording rate that makes the maximum recordable time twice as much as the maximum recordable time of the one-layer disk (10) when the disk-layer-configuration judging unit (180) judges that the disk is the two-layer disk (20).

Abstract: A phase difference detection circuit that is formed by digital circuits having a small circuit area. In the phase difference detection circuit, the circuits for generating a tracking error signal are structured by digital circuits, and a digital tracking error signal TE is generated from digital signals output from comparators. The latest previous phase difference data are stored in a phase difference memory, and a phase difference window PW is defined from the average phase difference calculated from the stored phase differences.

Abstract: Optical disk systems comprising photo detectors (1) for detecting optical disks comprising amplifiers and slicers (2-5) and delay-difference detectors (6) for detecting delay differences in sliced amplified detection signals are improved by installing delaylineless delay-difference detectors (6) comprising combinatorial-logic circuits (7,8) like inverters, ORs, NORs, ANDs, NANDs and sequential-logic circuits (11-18) like SetResetFlipFlops. Without the prior art delay lines, said delay-difference detectors (6) are of a lower complexity and low costly and can be well integrated. By introducing a first pair of sequential-logic circuits (11,12,15,16) for detecting delay differences between rising edges and a second pair of sequential-logic circuits (13,14,17,18) for detecting delay differences between falling edges, both kinds of edges are being used and the influence of time-jitter is less compared to the situation where just one kind of edge is used.

Abstract: A method and system for measuring the signal deviation are applied to an optical recording/reproducing apparatus. The optical recording/reproducing apparatus comprises an optical pickup head for receiving Differential Push Pull (DPP) signals reflected from an optical recording medium to trace the tracks on the surface of the optical recording medium. The DPP signal comprises a Main beam Push Pull (MPP) signal and a Sub-beam Push Pull (SPP) signal. The method firstly receives the MPP signal and the SPP signal to generate an MPP waveform and an SPP waveform separately. Then, the MPP waveform and the SPP waveform are combined to generate an amplitude waveform function. Finally, according to the amplitude waveform function, a phase difference between the MPP signal and the SPP signal is estimated. An adjusting direction can be further determined according to a relative position between the SPP waveform and the MPP waveform.

Abstract: The present invention relates to an optical disc apparatus having a wobble signal detection circuit, an information recording method, adjustment apparatus and method for an optical disc apparatus, a fabrication method for an optical disc apparatus, and adjustment method and apparatus for a phase shift amount. In the present invention, a wobble signal based on wobbling of an information track is supplied to the input side of a filter circuit, and the current phase difference between input and output signals to/from an HPF+LPF path is detected. Then, the phase of a recording start timing signal is adjusted corresponding to the detected phase difference. As a result, it is possible to prevent adverse effect due to the phase difference in the filter circuit.

Abstract: An optical pickup apparatus for compensating for the deviation in the thickness of the optical disk and method therefor.

Abstract: A method and device are provided for jitter enhancement in an optical disc system. The optical disc system generates a signal that includes an effective component having a first slew rate, and a pre-pit component having a second slew rate larger than the first slew rate. The signal is fed to a slew rate control module having a predetermined slew rate that is larger than the first slew rate and smaller than the second slew rate. The slew rate control module outputs a component of the signal having a slew rate not larger than the predetermined slew rate, and suppresses a component of the information signal having a slew rate larger than the predetermined slew rate.

Abstract: The method of controlling data writing velocity of an optical disk player is capable of correctly writing data on a nonstandard optical disk as well as a standard optical disk. The method comprises the steps of: analyzing a track pitch of an optical disk on the basis of a moving distance of an optical pick-up in a prescribed time and the address thereof when a data writing test is executed in an innermost area of the optical disk; judging if the optical disk is a standard optical disk having a standard track pitch or not; calculating an address of changing data writing velocity on the basis of the analyzed track pitch if the optical disk is a nonstandard optical disk; and changing the data writing velocity when the address to which the optical pick-up irradiates the laser beam reaches the calculated address.

Abstract: A plurality of light receiving detectors receive a plurality of segments of a beam returning from an optical disc when a reading beam of light is radiated to the optical disc. An optical pickup assembly produces a plurality of signals from the beam segments in accordance with, for instance, optical intensities of the beam segments. A level adjusting circuit adjusts signal levels of these signals such that each of the signal levels of the signals becomes equal to a reference level. The reference level is determined from at least one of the signal levels of the received beam segments.

Abstract: A method and apparatus for detecting the direction of movement of a laser spot in an optical disc recording/reproducing apparatus having a photodetector divided into two or more sections, each of which is a light receiving device, aligned in a radial direction that includes detecting a phase difference between the light receiving signals corresponding to light receiving devices of the photodetector. A first phase difference signal is obtained that indicates the degree to which the phase of the light receiving signal corresponding to a first light receiving device farthest advanced in the radial direction leads the phase of the light receiving signal corresponding to a second light receiving device. A second phase difference signal is obtained that indicates the degree to which the phase of the light receiving signal corresponding to the second light receiving device leads the phase of the light receiving signal corresponding to the first light receiving device.

Abstract: The invention discloses an injection synchronization narrowband regenerative phase-locked loop (ISNRPLL) circuit. The circuit includes a synchronous oscillation loop composed by the connecting of an injection synchronization narrowband regenerative voltage-controlled oscillator (ISNRVCO) and an exclusive-OR double frequency circuit; a phase-locked loop composed by the connecting of a digital phase detector, a charge pump and a loop filter, and a D type flip-flop for outputting data. The ISNRVCO does not ask much of the syntonic loop, and can be implemented by integrating inductance on a chip. Preferably, it can be integrated completely by using the deep submicron digital CMOS technology, so there are only a few external elements. Simulation shows that the capture range, capture time and phase noise etc. of the INSRPLL are all better than the conventional phase-locked loop circuit and can be used in GHz level high-speed clock recovery integrated circuit.

Abstract: A system and method for controlling operation of a motor system that addresses the design challenges for the small form factor optical disk system. The control system can be operable to obtain digital feedback from a spin motor. The present invention includes detecting data representing a position on an optical medium and determining a detection rate; comparing the detection rate to a reference rate to provide an error rate; generating an output command in response to the error rate to provide a drive output which commands a voltage applied to a spin motor to adjust the spin speed of said spin motor.

Abstract: The present invention relates to a method for recovering land pre-pits from a signal obtained from an optical recording medium.

Abstract: An error signal detection apparatus for an optical recording/reproducing system including a light source emitting a light beam and an objective lens focusing the light beam to form a light spot on a recording medium, the apparatus including: a photodetecting unit dividing at least a part of the light beam passed through the objective lens after being reflected/diffracted from an information stream of the recording medium into light beam portions, and detecting the light beam portions; and a signal processor detecting phase differences between detection signals from the light beam portions to detect a tangential error signal, a defocus error signal, and/or a radial tilt error signal.

Abstract: An optical pickup apparatus for compensating for the deviation in the thickness of the optical disk and method therefor.

Abstract: An information reproducing apparatus includes a rotating portion to rotate an information recording medium on which information has been recorded by wobbling borders on both sides of a track with different phases; a beam irradiating portion for irradiating a beam spot on the track of the information recording medium; a photodetector for receiving a reflected beam of the beam spot from the information recording medium; a detector for detecting a composite waveform including waveforms on the borders on both sides from the received beam intensity of the photodetector; a phase change detector for detecting changes in the phase of wobbling waveforms on the borders on both sides from the composite waveform; and an information reproducer for reproducing information corresponding to detection result of the phase change detector by using a predetermined relation between phase changes and information.

Abstract: A technique that uses component data, such as servo encoder feedback data, and calculates real time histograms on a production printed wire board assembly (PWBA). If the histograms are uploaded to a main controller at specific intervals during run, aberrant servo activity can be tracked over a period of time. This could lead to finding machine problems before they become serious enough to cause shutdowns.

Abstract: Reproduction arrangement for receiving information coded in accordance with a predefined standard, decoding the coded information and reproducing the decoding result. The reproduction arrangement may further receive and decode trigger information, which differs from the standard in a predefined manner. This results in a predefined special output, which is reproduced by the reproduction arrangement. A manufacturer of hardware and/or software present in the reproduction arrangement may thus verify in a simple manner whether this hardware and/or software has been made by himself. If the predefined special output is reproduced when the trigger information is added, then the reproduction arrangement will contain his hardware and/or software.

Abstract: An apparatus for recording first information onto a recording medium, successively to second information that has been already recorded on the recording medium is provided. The first and second information are divided into a plurality of blocks. Each block includes a synchronization signal. This signal is located at a predetermined position in each block. A plurality of pre-pits are pre-formed on the recording medium at intervals of the predetermined length or an integer times the predetermined length. A reference signal with a predetermined frequency is pre-recorded on the recording medium.

Abstract: An optical pickup is described with an electronically adjustable beam spot size for reading optical media. Two proximal light sources are impinged on a selected track of the media and the reflected light is registered by photodetector arrays. The electrical signal generated from the leading detector is delayed, based on a distance between beams and the speed of the media, to achieve a desired amount of temporal coincidence with the electrical signal associated with the lagging beam. The electrical signals are combined, such as in a multiplier circuit, to create a third electrical signal whose response to a data bit can be adjusted to a shorter duration than the responses from either first or second beams. Therefore, the effective spot size may be electronically controlled, wherein light sources of longer wavelengths may be utilized, and optical data storage systems may be configured for reading media having different optical characteristics.

Abstract: An optical disk comprising a substrate, and a plurality of tracks formed on the substrate, wherein the plurality of tracks include groove tracks consisting of a plurality of grooves mutually space apart by a fixed space, and land tracks consisting of areas between the groove tracks, wherein the borders between the groove tracks and the land tracks represent information using the waveforms from their wobbling patterns, wherein the period of the wobbling waveforms of the borders are constant on each border, but the wobbling waveforms of the opposite portions of the borders across the track are shifted in phase by a predetermined phase difference.

Abstract: A wobble-signal detecting device detects a wobble signal based on a signal which is the difference between outputs of two divisions of a light receiving device. These two divisions are located on both sides of a line parallel to a target portion of an information recording track. This light receiving device receives light reflected by a recording medium as a result of an optical beam being incident on the recording medium. This recording medium contains the information recording track, which wobbles at a predetermined frequency, and has pre-pits formed at predetermined intervals in areas between the information recording tracks.

Abstract: This invention prepares two control voltage to be input to a VCO circuit. The first control voltage is used to continuously change the oscillation frequency of the VCO circuit. The second control voltage is used to continuously change the first control voltage/oscillation frequency characteristics. The invention also includes a phase detecting circuit for comparing the phase of the data read from a disk with that of the output from the voltage-controlled oscillator, a frequency detecting circuit for comparing the frequency of the data read from the disk with that of the output from the voltage-controlled oscillator, a first filter circuit for equalizing signals representing the detection results obtained by the phase detecting circuit and the frequency detecting circuit, and a second filter circuit for extracting only a low-frequency component from the output from the first filter circuit. The output from the first filter circuit is used as the first control voltage.

Abstract: A pulse width control circuit is used to control the pulse with of a modulation signal to be written to a recording medium, such as a CD-R. The circuit controls both the leading and trailing edges of the modulation signal. The circuit includes a first delay circuit including multiple series connected first inverters for delaying the modulation signal and generating multiple first delay signals. The first delay signals are input to a first selector, which selects one of the first delay signals. A first logic circuit receives the selected first delay signal and the modulation signal and performs a first logic operation. The output of the first logic circuit is input to a second delay circuit, which includes multiple series connected second inverters for delaying the first logic circuit output signal, and generating multiple second delay signals. A second selector selects one of the plurality of delayed logic signals in accordance with the second selection signal.

Abstract: In a crosstalk canceling system for use in an optical disk signal reproducing apparatus, rough delay units roughly adjust a delay amount of reproduction signals and fine delay units finely adjust a delay amount with high precision, and a delay amount control unit controls the delay amounts of the rough and fine delay units so that the jitter of the reproduction signal is minimized.

Abstract: An optical disc drive usable with discs to which data is continuously recorded and discs having a sector format can quickly resume playback signal output after passing imperfection causing potential reading errors, and plays disc with few read errors. A detection signal generator detects DC level fluctuation in the playback signal read from the disc and generates a detection signal tracking the DC level fluctuation. A selector selects a detection signal or a null signal without valid polarity based on the detection signal generated by the detection signal generator and input to the selector. A clamping unit performs a clamping process to suppress DC level fluctuation in the playback signal based on the detection signal when the selection unit selects the detection signal, and does not perform the clamping process when the selection unit selects the null signal. A signal processor performs specific signal processes based on clamping unit output.

Abstract: There is generated a rhythm corresponding to a designated tempo and meter of a music piece to be recorded. Performance of a musical instrument is started at specific timing according to the generated rhythm, and the musical information resulting from the performance is recorded onto an MD (Mini Disk). The address on the MD read out when the performance of the music piece is started is retrieved as a start address of the music piece. After the recording, the retrieved start address is recorded onto the UTOC (User's-table-of-contents) area of the disk along with the designated tempo and meter. By reading out the start address, tempo and meter to calculate a measure number and start address of a desired measure on the basis of the read out information, display of a measure number being currently reproduced and quick access to the starting point of any desired measure can be achieved.