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43 results about "Significant figures" patented technology

The significant figures (also known as the significant digits and decimal places) of a number are precision|measurement resolution. Significance arithmetic is a set of approximate rules for roughly maintaining significance throughout a computation. The more sophisticated scientific rules are known as propagation of uncertainty.

Data processing apparatus and method for performing floating point multiplication

A data processing apparatus and method are provided for multiplying first and second n-bit significands of first and second floating point operands to produce an n-bit result. The data processing apparatus comprises multiplier logic operable to multiply the first and second n-bit significands to produce a pair of 2n-bit vectors. Half adder logic is then arranged to produce a plurality of carry and sum bits representing a corresponding plurality of most significant bits of the pair of 2n-bit vectors. The first adder logic then performs a first sum operation in order to generate a first rounded result equivalent to the addition of the pair of 2n-bit vectors with a rounding increment injected at a first predetermined rounding position appropriate for a non-overflow condition. To achieve this, the first adder logic uses as the m most significant bits of the pair of 2n-bit vectors the corresponding m carry and sum bits, the least significant of the m carry bits being replaced with a rounding increment value prior to the first adder logic performing the first sum operation. Second adder logic is arranged to perform a second sum operation in order to generate a second rounded result equivalent to the addition of the pair of 2n-bit vectors with a rounding increment injected at a second predetermined rounding position appropriate for an overflow condition. To achieve this, the second adder logic uses as the m-1 most significant bits of the pair of 2n-bit vectors the corresponding m−1 carry and sum bits, with the least significant of the m−1 carry bits being replaced with the rounding increment value prior to the second adder logic performing the second sum operation. The required n-bit result is then derived from either the first rounded result or the second rounded result. The data processing apparatus takes advantage of a property of the half adder form to enable a rounding increment value to be injected prior to performance of the first and second sum operations without requiring full adders to be used to inject the rounding increment value.
Owner:ARM LTD

Orthogonal frequency division multiplexing receiver system and its automatic gain control method

The invention provides an orthogonal frequency division multiplexing receiving system and an automatic gain control method. The antenna of the system is connected with a band-pass filter, a radio frequency gain amplifier, an orthogonal demodulator, a baseband gain amplifier, a first digital-to-analog converter, a decoder, a frame alignement judging device, an automatic gain controller, a signal power processor, a second digital-to-analog converter, a ogarithmic detector, a band-pass filter in turn, wherein the automatic gain controller is respectively connected with the baseband gain amplifier, the radio frequency gain amplifier, while the first digital-to-analog converter is connected with the frame alignement judging device. The gain control method is that the receiver carries the logarithm demodulation on the received signals, to control the system gain according to the power detecting result and the state of the two modules of frame synchronization and the decoder, to reach the aim of correctly adjusting the system gain. The invention has high detecting precision, small computation complexity, short response time, which is suitable to orthogonal frequency division multiplexing receiving system and can effectively increase the significant figure of the analog-to-digital converter.
Owner:ZHEJIANG UNIV

Method for evaluating degradation degree of alpine grassland based on visual vegetation indexes

The invention discloses a method for evaluating degradation degree of alpine grassland based on visual vegetation indexes by using a grassland degradation index. The grassland degradation index (GDI) comprises an integer bit and a significant figure behind the decimal point and has a structure that GDI=(100-C)*28 percent+(100-P)*39 percent+(70-E)*26 percent+(25-H)*7 percent, wherein C is a cover degree, P is a grass yield, E is an edible grass proportion, and H is an edible grass height. During actual application, the cover degree, the biomass liveweight, the edible grass quantity and the edible grass height of a plant community are only determined, so that the GDI can be calculated. The degradation degree of the alpine grassland is judged according to the GDI, when the GDI is less than 13.9, the grassland is non-degraded grassland; when the GDI is 13.9-33.5, the grassland is lightly-degraded grassland; when the GDI is 33.5-52.4, the grassland is medium-degraded grassland; when the GDI is 52.4-68.4, the grassland is seriously-degraded grassland; and when the GDI is more than 68.4, the grassland is extremely-degraded grassland. According to the invention, the degradation condition information of the grassland can be completely expressed, and the degradation degree of the alpine grassland is quantitatively and qualitatively evaluated.
Owner:BEIJING NORMAL UNIVERSITY

Three-dimensional picture quality objective evaluation method based on three-dimensional visual attention

The invention discloses a three-dimensional picture quality objective evaluation method based on three-dimensional visual attention. The method comprises the steps of respectively calculating an original undistorted three-dimensional picture one-eyed figure and an one-eyed figure of an anamorphic three-dimensional picture to be evaluated; calculating significant figures of the two one-eyed figures and an off-centering figure, a foreground figure and a background figure of the original undistorted three-dimensional picture one-eyed figure; obtaining a three-dimensional visual attention image, and merging objective evaluation metric values of all pixel points in the one-eyed figure of the anamorphic three-dimensional picture to be evaluated, and obtaining a picture quality objective evaluation predicted value of the anamorphic three-dimensional picture to be evaluated. The three-dimensional picture quality objective evaluation method based on the three-dimensional visual attention has the advantages that the obtained three-dimensional visual attention image can well reflect influence of space three-dimensional vision information to attention, and an objective evaluation result can be better fit with human vision, so that relevancy of the objective evaluation result and subjective perception is effectively improved.
Owner:深圳市点维文化传播有限公司

System and method for achieving improved accuracy from efficient computer architectures

This invention provides a system and method that can employ a low-instruction-per-second (lower-power), highly parallel processor architecture to perform the low-precision computations. These are aggregated at high-precision by an aggregator. Either a high-precision processor arrangement, or a low-precision processor arrangement, employing soft-ware-based high-precision program instructions performs the less-frequent, generally slower high-precision computations of the aggregated, more-frequent low-precision computations. One final aggregator totals all low-precision computations and another high-precision aggregator totals all high-precision computations. An equal number of low precision computations are used to generate the error value that is subtracted from the low-precision average. A plurality of lower-power processors can be arrayed to provide the low-precision computation function. Alternatively a plurality of SIMD can be used to alternately conduct low-precision computations for a predetermined number of operations and high-precision operations on a fewer number of operations. In an embodiment, aggregation can include summing values within predetermined ranges of orders of magnitude, via an adding tree arrangement, so that significant digits therebetween are preserved.
Owner:GRANGER RICHARD

Method for identifying natural image and computer generated image based on DCT (Discrete Cosine Transformation)-domain statistic characteristics

The invention discloses a method for identifying a natural image and a computer generated image based on DCT (Discrete Cosine Transformation)-domain statistic characteristics. The method is characterized by comprising the following steps of (1) firstly, carrying out gaussian fuzzy processing and dimension reduction processing on an image to be detected, carrying out 8*8 no-repeat DCT on3 channels R, G and B of the image to obtain a 8*8 partitioning DCT coefficient matrix; (2) carrying out statistics on the distribution of a first significant figure of the DCT-domain AC coefficient of each channel to obtain three probability distribution curves; and (3) calculating an average absolute differential of the three probability distribution curves, if the average absolute differential is greater than a set threshold T to prove that the overlapping degree of the three curves is not sufficient, judging the image to be detected as the natural image, otherwise, judging the image to be detected as the computer generated image. Experimental results show that due to the algorithm, the identification accuracy rate of the natural image and the computer generated image is increased. Compared with the existing algorithm, the method has the advantages that the identification rate is higher, the calculating amount is small, the implementation is easy, and the identification accuracy rate reaches 95.22%.
Owner:BAINIAN JINHAI SCI & TECH +1

Intelligent selection and representation method for significant digits of significant figure operational result

ActiveCN102622202AEffective application of treatmentEffectively applicable to random occasionsData selectionExponential formComputer science
An intelligent selection and representation method for significant digits of a significant figure operational result includes the steps: firstly, searching each character in a numeric expression from left to right, acquiring adding and subtracting items with '+' or '-' serving as a breakpoint, acquiring multiplying and dividing items in each adding and subtracting item with '*' or '/' serving as a breakpoint, and acquiring power base items of each multiplying and dividing item with '^' serving as a breakpoint; secondly, performing trigonometric function and logarithm operation, selecting the significant digits of the operational result, and utilizing a selection result to substitute for an original trigonometric function or logarithm function expression; thirdly, counting significant digits of multiplying and dividing data and power base data in each adding and subtracting item, wherein the minimum digits are the significant digits of a result of the data after multiplication, division and power operation, and the operational expression only including addition and subtraction is obtained after multiplication, division and power operation; and fourthly, unifying the exponential form of scientific notation of all the adding and subtracting data, counting error digits of all the data, and obtaining error digits of significant figures. The intelligent selection and representation method adopts intelligent selection, is effectively applicable to occasions for processing massive data and with random digits, and is high in applicability.
Owner:ZHEJIANG UNIV OF TECH

Decimal Floating Point Mechanism and Process of Multiplication without Resultant Leading Zero Detection

A decimal multiplication mechanism for fixed and floating point computation in a computer having a coefficient mechanism without resulting leading zero detection (LZD) and process which assumes that the final product will be M+N digits in length and performs all calculations based on this assumption. Least significant digits that would be truncated are no longer stored, but retained as sticky information which is used to finalize the result product. Once the computation of the product is complete, a final check based on the examination of key bits observed during partial product accumulation is used to determine if the final product is truly M+N digits in length, or M+N−1 digits. If the latter is true, then corrective final product shifting is employed to obtain the proper result. This eliminates the need for dedicated leading zero detection hardware used to determine the number of significant digits in the final product. The corrective final product shifting also incorporates adjustments to the coefficient of the product when the product's exponent is at its extremes and the final product must be brought to be within the precision and range of a given format.
Owner:IBM CORP

An Intelligent Selection and Representation Method of Significant Digits of Significant Figure Operation Results

ActiveCN102622202BData selectionEffective powerExponential number
A method for intelligently selecting and representing effective digits of effective digit calculation results, searching for each character in a numerical calculation formula from left to right, using "+" or "-" as a breakpoint to obtain addition and subtraction items, and "* " or " / " as a breakpoint to obtain the multiplication and division items in each addition and subtraction item, and use "^" as a breakpoint to obtain the power bottom item in each multiplication and division item. Perform trigonometric functions and logarithmic operations first, select the effective digits of the operation results, and replace the original trigonometric or logarithmic expressions with the selected results. Count the effective digits of multiplication and division data and exponentiation data in each addition and subtraction item, and the least number of digits is the effective digits of the result of these data multiplication and division exponentiation operations. Unify the exponential form of scientific notation for each addition and subtraction data, count the error bits of each data, and obtain the error bits of the effective figures. The invention adopts intelligent selection, is effectively applicable to the occasions of processing massive data and random digits, and has good applicability.
Owner:ZHEJIANG UNIV OF TECH

Discrimination method between natural image and computer-generated image based on statistical properties of dct domain

The invention discloses a method for identifying a natural image and a computer generated image based on DCT (Discrete Cosine Transformation)-domain statistic characteristics. The method is characterized by comprising the following steps of (1) firstly, carrying out gaussian fuzzy processing and dimension reduction processing on an image to be detected, carrying out 8*8 no-repeat DCT on3 channels R, G and B of the image to obtain a 8*8 partitioning DCT coefficient matrix; (2) carrying out statistics on the distribution of a first significant figure of the DCT-domain AC coefficient of each channel to obtain three probability distribution curves; and (3) calculating an average absolute differential of the three probability distribution curves, if the average absolute differential is greater than a set threshold T to prove that the overlapping degree of the three curves is not sufficient, judging the image to be detected as the natural image, otherwise, judging the image to be detected as the computer generated image. Experimental results show that due to the algorithm, the identification accuracy rate of the natural image and the computer generated image is increased. Compared with the existing algorithm, the method has the advantages that the identification rate is higher, the calculating amount is small, the implementation is easy, and the identification accuracy rate reaches 95.22%.
Owner:BAINIAN JINHAI SCI & TECH +1
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