47 results about "Separable denominator" patented technology

A method for performing unit conversions. The method employs a calculating device comprised of an alphanumeric keypad and a display device. Required inputs include a numeric value, or an expression that can be evaluated as a numeric value, representing the quantity of the unit string to be converted from, an undesired unit string and a desired unit string. Each unit string can consist of a single unit or a plurality of units joined by arithmetic symbols. Units are entered by typing the full spelling of the unit name or the spelling of an alias name on an alphanumeric keypad. The method segregates the unit string into its component parts, specifically, unit names, positive and negative exponents, multiplication and division. Each numerator and denominator undesired unit is respectively converted to a numerator and denominator desired unit. All derived units which can not be converted are replaced with their equated unit string comprised of two or more other units which may be base units or other derived units. The conversion process continues until all numerator and denominator units are converted, or until there are no more derived units to substitute other units for. If all units are successfully converted, the conversion factors used in the conversion process are multiplied together and multiplied by the numeric input value. The result is then displayed.

The invention discloses a three-dimensional surface type measurement method for single-frame color fringe projection based on deep learning, and the method comprises the steps: inputting gray-scale fringe images in red, green and blue channels which comprise three channels and are color fringe images based on a model CNN of a convolutional neural network; projecting three 12-step phase shift stripes with different frequencies by adopting a projector, and generating training data required by the CNN by utilizing a phase shift (PS) method and a projection minimum distance method (PDM) to train the CNN; when the method is in use, inputting three channel gray scale fringe images of a color fringe image into the CNN to obtain a molecular item, a denominator item and a low-precision absolute phase containing fringe level information; substituting the molecular item and the denominator item into an arc tangent function, and performing calculating to obtain high-precision absolute phase information in combination with the low-precision absolute phase. According to the invention, more accurate phase information and more reliable phase unwrapping can be provided without any complex pre-/post-processing.

Techniques for concatenating, interpolating and upsampling pose transforms represented as dual quaternions are described, including: (1) derivation of a complex-valued matrix form of dual quaternions and dual quaternion operations; (2) derivation of a transformation operator on position vectors which obviates an explicit conversion to a classical 4×4 spatial transformation matrix and keeps results in complex-valued matrix space; (3) design for a generic lookup table system for functions to supply logarithm and exponentiations of the dual quaternion in its native format with trigonometry lookup tables to avoid precision issues when denominators tend to zero; and (4) a mechanism for wrapping the complex-exponentiation together with a simple complex arithmetic unit for computing dual quaternion macro-operations in both native dual quaternion space and through simplifications of the equivalent complex-valued matrix to compute dual quaternion operations such as inverses, multiplications, logarithms and exponentials in order to chain the pose transformations encoded within.

Systems and methods for adaptive feed-forward noise cancellation. The system includes a plurality of reference microphones, an error microphone, a secondary path module, an adaptation controller, and a canceller filter. A finite impulse response ("FIR") based plant model is converted to an infinite impulse response ("HR") based plant model using balanced model reduction. Due to the inherent instability of the adaptive HR filter, the Schur-Cohn stability test is applied to the denominator coefficients of the HR filter transfer function to determine the stability of the noise cancellation system. A secondary path of the noise cancellation system is identified in an on-line manner in the secondary path module. If the energy level of the communication signal (e.g., a music signal) is strong, secondary path identification is performed.; The adaptation controller controls the updating of the HR transfer function based on the stability determination and the secondary path. An anti-noise signal is then generated and added to the communication signal. The anti-noise signal is generated within approximately 60 or fewer micro-seconds.

The invention discloses a coupling identification and decoupling control design method for a two-degree-of-freedom servo holder system, and the method comprises the steps: firstly generating an orthogonal pseudo-random signal, inputting the orthogonal pseudo-random signal into the two-degree-of-freedom servo holder system, and collecting an output signal of a two-axis speed output end; constructing an input and output signal matrix, and identifying the two-input and two-output system by using a subspace identification algorithm to obtain a pitch axis subsystem model, an azimuth axis subsystemmodel and an inter-axis coupling subsystem model of the system; performing order reduction on each subsystem by using a balanced truncation method to obtain a low-order subsystem model; based on the low-order coupling subsystem model, carrying out decoupling feedforward controller design by using a model matching method to obtain a feedforward controller; and finally, improving the feedforward controller, so as to enable the molecular order of the feedforward controller to be smaller than or equal to the denominator order, and obtaining the final physically-achievable decoupling feedforward controller. According to the invention, the vibration of the pitch axis of the two-degree-of-freedom servo pan-tilt system caused by inter-axis coupling can be effectively suppressed.

The invention provides a cost allocation method, a device, electronic equipment and a computer readable storage medium, and relates to the field of data processing. The method comprises the followingsteps: when an allocation instruction for any cost is received, an allocation parameter corresponding to the allocation instruction is obtained; each cost data corresponding to each allocation objectrequired by the allocation parameter is obtained; allocation data corresponding to the allocation parameter is obtained based on each cost data; based on the allocation data and each cost data, the allocation cost corresponding to each allocation object is obtained. The problem that the amount of numerator data and denominator data in the existing allocation method is too large and the data occupymore storage space is solved. Meanwhile, the data size of cost allocation is less, the consumption of hardware resources and network transmission are reduced, the computing efficiency is increased, and the user experience is improved.

The invention provides a state monitoring method of a suspension control system. The state monitoring method comprises the steps of: obtaining input data and output data of the suspension control system; determining a corresponding model molecular denominator order and a closed-loop transfer function of the suspension control system according to the input data; calculating an open-loop transfer function according to the closed-loop transfer function; determining a transfer function of the controlled object according to the open-loop transfer function and the initial controller transfer function; determining a gap metric according to the transfer function of the controlled object and a first preset formula; and determining the health state of the suspension control system according to the interval corresponding to the gap measurement. According to the method, the gap between the controlled object transfer function and the controlled object transfer function of the initial system is measured as the health index of the system, so that health monitoring is realized, and the problems that a train cannot run, the economic loss is serious and the maintenance cost is high are avoided. Theinvention further provides a state monitoring system of the suspension control system, a computer readable storage medium and electronic equipment, which have the above beneficial effects.

The invention provides a phase shift method for grating stripe principal value phase extraction, establishes a general situation calculation formula of extended average phase shift on the basis of theexisting extended average phase shift Class A and Class B algorithms, and relates to a judgment method of the extended average phase shift Class A and Class B algorithms. The invention discloses a method for determining molecules, denominators and corresponding coefficients in an extended average phase shift general situation calculation formula. According to the method, a general situation calculation formula of Schmit and Creath extended average phase shift is provided, and the defects of the technology are overcome; the principal value phase of any continuous N0 images in the N steps of extended average phase shift fringe images is not required to be calculated, computer programming can be performed on any number of extended average phase shift fringe images, and the operability and the flexibility of the method are enhanced; and compared with a standard N-step phase shift algorithm, the phase shift result of any phase shift step number can be carried out, and the use performance of the technology is expanded.

The invention discloses an impedance ratio stability judgment method suitable for a distributed energy storage system. The method comprises the following steps: measuring the parallel impedance Zbus of all converters of the distributed energy storage system; calculating a novel impedance ratio Zc/Znc according to the Zbus and the bus capacitor C; wherein the denominator is parallel impedance Znc of all converters after bus capacitance is removed, the molecule is capacitance impedance Zc, an impedance ratio Zc/Znc is used as an equivalent open-loop transfer function to draw a Nessler diagram, the system stability is judged according to the Nessler diagram, if an amplitude-phase curve does not surround (-1, 0j) points, the system is stable, and otherwise, the system is unstable. The stability of the system is judged by means of impedance, the limitation that a traditional impedance ratio criterion can only judge the stability of a single-source system is overcome, the power flow direction of a converter does not need to be distinguished, and the application range is wider compared with the traditional impedance ratio criterion.

Embodiments relate to a denominator circuit that determines the number of valid elements of a data surface covered by a kernel depending on various locations of the kernel relative to the data surface. The denominator circuit includes a first circuit and a second circuit that have the same structure. The first circuit receives numbers representing different horizontal locations of a reference point in the kernel and generates a first matrix with first output elements corresponding to the different horizontal locations. The second circuit receives numbers representing different vertical locations of a reference point in the kernel and generates a second matrix with second output elements corresponding to the different vertical locations. A matrix multiplication of the first matrix and the second matrix is performed to obtain an array of valid elements covered by the kernel.

The invention discloses a video PRNU noise extraction method and a camera source detection method, belongs to the field of camera source detection, and aims to solve the technical problem that PRNU noise in a stable video clip still cannot be reliably estimated and matched. The extraction method comprises the following steps: putting video frames with the same geometric transformation into the same group; replacing the numerator in a traditional video PRNU noise calculation formula with the sum of the products of each group of residual noise and the video frames, replacing denominator in the traditional video PRNU noise calculation formula with the video frames from the same group, and accumulating the video PRNU noise solved by each group of video frames. The detection method comprises the following steps: carrying out extension calculation on a traditional PRNU noise calculation formula based on a maximum likelihood estimation method through the method; overlapping and striping the PRNU noise, and matching the reference PRNU noise with the test PRNU noise in a striping manner; and determining whether the test video comes from the reference mobile phone according to the single peak value.

The invention provides a design method of a self-adaptive Butterworth low-pass digital filter. Firstly, coefficients of molecules and denominator polynomials of a discretized Butterworth low-pass filter transfer function are expressed as a function of a product of a sampling step length and a cut-off frequency; then the transfer function denominator is polynomial-converted into a first 1 form to obtain new molecular and denominator polynomial coefficients; a fixed proportional relation between the cut-off frequency of the Butterworth low-pass filter and the fundamental frequency of the detected signal is designed, then a transfer function of the Butterworth low-pass filter is updated according to the fundamental frequency of the detected signal and the sampling step length, and then an input signal is filtered and output by adopting the updated Butterworth low-pass filter. The influence of harmonic waves and high-frequency interference on variable-frequency alternating-current voltageand current signals can be effectively reduced, and the signal detection accuracy is improved; and the gain and the phase shift of the fundamental frequency signal output by the filter are the same when the frequency of the detected signal rapidly changes in a large range.

The invention discloses a navigation receiver radio frequency front end group delay equalization design method and device. The method comprises the following steps: expanding a channel range in a frequency band by M%; measuring the time delay characteristic of the channel group in the expanded frequency band; obtaining denominator group delay of an all-pass filter; carrying out cos fitting on the denominator group time delay, and acquiring a denominator coefficient of the all-pass filter; obtaining a denominator polynomial coefficient; designing a first-stage all-pass filter; acquiring a balanced residual error, abandoning the extended frequency band, and designing a second-stage all-pass filter; and cascading the first-stage all-pass filter and the second-stage all-pass filter to obtain the group delay equalization all-pass filter. According to the invention, the all-pass filter of any group delay is designed by using a complex cepstrum theory, secondary equalization is performed according to the equalization residual error, and finally the group delay can be equalized by using the finite filter order in the specified passband so that the problem of a positioning error caused by related peak distortion brought by the group delay is solved.

The invention discloses a direct comprehensive design method for a band-pass domain of an acoustic wave filter, is suitable for symmetric and asymmetric topological structures of any order, and belongs to the technical field of basic electrical elements. The method comprises the following steps: firstly, converting a Chebyshev polynomial from low pass to band pass; deriving a transmission polynomial, a reflection polynomial and a denominator polynomial according to a band-pass domain Chebyshev polynomial, and calculating input impedance and admittance; and finally, according to the input impedance and admittance, calculating the BVD model parameters of the series resonator and the parallel resonator step by step to acquire acoustic wave filter design parameters and the frequency response curve. According to the invention, the calculation process is simple and clear and high in accuracy.

The invention belongs to the field of modern music industry, and particularly relates to a melody generation method of a three-part profit-and-loss method, which specifically comprises the following steps of: inputting an initial melody frequency, a melody number and a decimal digit through an input module, calculating a corresponding numerator value, a denominator value and a decimal melody value by utilizing a calculation module, and outputting through an output module, so that melody can be conveniently combined with back-end music application software, and the aim of applying a multi-melody system to the music software can be achieved. According to the invention, the output melody sequence can be further played by various musical instrument software, so that the melody sequence can be conveniently used by music employees.

Techniques are disclosed relating to circuitry for floating-point division. In some embodiments, the circuitry is configured to generate a subnormal result for a division operation that divides a numerator by a denominator. The circuitry may include floating-point circuitry configured to perform a reciprocal operation to determine a normalized mantissa value for the reciprocal of a floating-point representation of the denominator. The circuitry may further include fixed-point circuitry configured to multiply a fixed-point representation of the normalized mantissa value for the reciprocal by a mantissa of the numerator to generate an initial value. Control circuitry may determine error data for the initial value and generate a final subnormal mantissa result for the division operation based on the error data and the initial value. Embodiments with multiple modes with different accuracy guarantees are disclosed.

Devices, systems and methods for digital video coding, which includes scaling and division operations in video coding, are described. An exemplary method for video processing includes performing a conversion between a current video block of a video and a coded representation of the video, and the conversion comprises: approximating a result of a division operation N/D to be used in a specific mode for processing the current video block with one or more operations to replace the division operation, N and D representing numerator and denominator in the division operation respectively, and each of the one or more operations is different from the division operation.

The invention discloses a broadband beam forming method of a variable step size LCMV-LMS algorithm, broadband signals are converted to a frequency domain through fast Fourier transform, independent beam forming is carried out on narrowband signals under each frequency point by adopting multiple groups of filters, and meanwhile, the variable step size LCMV-LMS algorithm can reduce the operation complexity on the premise that reference signals are not needed, so that the beam forming efficiency is improved. The balance between the convergence speed and the power steady-state error is realized, and the anti-interference filtering of the broadband digital signal is satisfied. According to the method, the least mean square algorithm based on the linear constraint minimum variance criterion is popularized to broadband signal beam forming, matrix inversion of each narrow band is avoided, the algorithm principle is simple, and occupation of hardware resources can be effectively reduced. The step length factor updating formula provided by the invention only comprises one division operation, the denominator is integer power of 2, and only shifting operation needs to be carried out in logic hardware such as a field programmable logic gate array.