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7440987 |
16 bit quadrature direct digital frequency synthesizer using interpolative angle rotation
A direct digital synthesizer employs a trigonometric function generator utilizing decomposition of a larger angle into smaller sub-angles, interpolation of a desired sub-angle between two known...
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7409673 |
XML document editor
A DTD-compliant XML document editor is disclosed. The XML document editor generates hints for required elements and required element slots automatically in the process of document creation and...
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7047269 |
Cordic method and architecture applied in vector rotation
A CORDIC method and a CORDIC architecture applied in vector rotation are disclosed. An elementary angles set is extended by representing the elementary angles as the arctangent of the sum of two...
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6640237 |
Method and system for generating a trigonometric function
A method for generating a trigonometric function is provided that includes an input angle being received and automatically separated into a first component angle and a second component angle. A...
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6581079 |
Apparatus for computing transcendental functions quickly
The invention provides a method and system for computing transcendental functions quickly: (1) the multiply ALU is enhanced to add a term to the product, (2) rounding operations for intermediate...
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6480871 |
Algorithm (Method) and VLSI architecture for fast evaluation of trigonometric functions
A fast CORDIC algorithm and the resulting VLSI architecture for the evaluation of trigonometric functions are disclosed. The new method employs signed digits to represent intermediate operands and...
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6470367 |
Apparatus and method for implementing an inverse arctangent function using piecewise linear theorem to simplify
The present invention discloses an apparatus and method for implementing an inverse arctangent function using piecewise linear theorem to simplify and used to transform a right-angled coordinate...
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6470366 |
Angle calculation circuit
A sign determination circuit is input with in-phase signal I, and outputs in-phase sign determination signal S PI to indicate the sign, positive or negative, of in-phase signal I. Another sign...
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6434582 |
Cosine algorithm for relatively small angles
A system and method for computing the cosine of an input value. The system comprises a logical processing unit and an addition unit. The logical processing unit comprises an input bus with a...
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6393067 |
Differential detection receiver
A differential detection receiver with a reduced power consumption is provided by simplifying constituent circuits of the differential detection receiver. An arctangent calculator is realized...
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6366939 |
Apparatus for computing exponential and trigonometric functions
A 64-bit precision digital circuit for computing the exponential function and a related 64-bit precision digital circuit for computing sine and cosine, each circuit comprising a master circuit and...
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6219688 |
Method, apparatus and system for sum of plural absolute differences
A method for forming a sum of the absolute value of the difference between each pair of numbers of respective first and second sets of numbers. The method includes forming the difference between a...
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6138131 |
Arc-tangent circuit for continuous linear output
A device suitable for determining arc-tangent of an angle θ is provided. Circuitry generates a first square wave at a frequency ωt and a second square wave at the frequency ωt but shifted by a...
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6041336 |
Circuit arrangement for arithmetic combination of an analog signal with a digital value and method and circuit arrangement for determination of an angle
The circuit arrangement for determining an angle (α) from analog signals (C,S) proportional to the sine and cosine of the angle (α) to be determined includes a circuit device for multiplying...
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6009449 |
Phase angle data-trigonometric function value converter circuit and composite diversity receiver
Disclosed is a phase angle data-trigonometric function value converter circuit for computing a trigonometric function value corresponding to an angle that an angle of 360 degrees is divided into n...
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5831488 |
Digital phase modulator formed with a fixed-point digital signal processor
Data from an A/D converter is supplied to a fixed-point DSP. The fixed-point DSP adjusts the level of the data x so that computed results do not exceed ±1. In succession, for the i-th data x i ,...
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5822376 |
High-speed multiplier to multiply a digital signal by a periodic signal
Disclosed is a digital multiplication circuit to multiply a digital signal SN by a periodic waveform that is, in principle, a sine waveform. This circuit uses a phase digital generator φ varying...
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5798957 |
LNS-based computer processor and method of use thereof
An LNS-based computer processor is provided for performing high-speed calculations that involve special function values. Special functions include transcendental and hyperbolic functions. The...
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5648924 |
Method and apparatus for finding arctangents
Arctangents (tan -1 ) are calculated utilizing binary floating point numbers through much of the function's range by extracting into an Integer Register (54) as an index ("i") the exponent and a...
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5636149 |
PC-controlled direct digital synthesizer and method of operating the same
A direct digital synthesizer (DDS) (1) or digitally operating function generator has one or more channels (A, B, . . . ) each with a phase increment register and is controlled by means of a...
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5475629 |
Waveform decoding apparatus
A coding and decoding apparatus for an acoustic signal obtained by extracting a series of sampled acoustic signal data as a series of frames. From data obtained over each of a predetermined number...
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5471396 |
Estimator of amplitude and frequency of a noisy-biased sinusoid from short bursts of samples
The amplitude or frequency of a sinusoidal signal represented as sample values S 1 , S 2 , S 3 , S 4 is estimated by computing a triplet of differences x 1 , x 2 , x 3 , where x 1 is a difference...
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5392231 |
Waveform prediction method for acoustic signal and coding/decoding apparatus therefor
By data every a predetermined number of discrete frequencies obtained by implementing orthogonal transform processing to acoustic signal data by using the same window function for first and second...
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5305246 |
Device and method for evaluating inverse trigonometric functions
A method and device are provided for processing an input value to provide an output inverse trigonometric function value of the input value. It substantially comprises a method and device for...
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5235535 |
Arithmetic operation apparatus for elementary function
An arithmetic operation apparatus performs an arithmetic operation of a differentiable elementary function including a sine function sin (x), a cosine function cos (x), arc tangent function arctan...
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5224064 |
Transcendental function approximation apparatus and method
Transcendental function approximation using a regional approximation look-up table, offset lookup table, scaling shifter and interpolation adder/subtractor. Rapid fixed-point arithmetic...
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5222036 |
Device and method for evaluating trigonometric functions
A method and device are provided for processing an input value to provide an output trigonometric function value of the input value. It comprises a method and device for modifying the input value...
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5146418 |
Trigonometeric function generation for use in digital signal processing
A sequence of N sine and/or cosine values, e.g. for Fourier Transforms, quadrature demodulation or test tone generation, is produced by interpolation from a geometrically-spaced table of initial...
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4956799 |
Trigonometric function arithmetic processor using pseudo-division
A trigonometric function arithmetic processor comprises a first arithmetic unit for executing, in m steps, a pseudo-division operation for obtaining from an initial value θ a sequence of numbers...
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4951238 |
Processor for executing arithmetic operations on input data and constant data with a small error
A process for carrying out modulo reduction of floating-point data uses a predetermined constant. A subtraction operation of more significant bits of the predetermined constant from a mantissa part...
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4899302 |
Arithmetic unit for inverse trigonometric function
An arithmetic unit carries out sequentially arithmetic pseudo division and reverse-sequentially arithmetic pseudo multiplication according to algolithm based on CORDIC method utilizing constant...
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4870606 |
Trigonometric function preprocessing system
A trigonometric function preprocessing system used for calculating a value of a given trigonometric function of a given numerical data, including a dividend register coupled to store the given...
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4809205 |
Digital sine conversion circuit for use in direct digital synthesizers
The size, power, and speed constraints in digital sinusoidal waveform generators using values stored in a read-only-memory are alleviated by storing the required values in two smaller...
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4710892 |
Phase calculation circuitry in digital television receiver
An angle α from 0° to 45° is determined from an equation α°=LK.iota.(tan α) .iota ., where .iota. is an index varying from 0 to n. The value of tan α is arrived at by dividing the smaller of...
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4623873 |
Digital phase detector
A digital phase detector for processing digital signals consisting of words containing more than 10 bits eliminates the need for a large read-only memory for arc tan values and requires only...
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4171537 |
Number oriented processor
An MOS/LSI Number Oriented Processor is provided which is intended for number processing applications. The single chip device provides arithmetic, logarithmic and transcendental functions, test and...
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4164022 |
Electronic digital arctangent computational apparatus
Electronic digital apparatus for computing an approximation of the arctangent of a given tangent number, N, being in the range of 0 to 1 and in binary form, operates in two stages to provide a...
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4156285 |
Programmable calculator including keyboard functions whose argument may be a numeric constant, a storage register, or an arithmetic expression
An adaptable programable calculator is provided by employing modular read-write and read-only memory units capable of being expanded to provide the calculator with additional program and data...
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4104722 |
Method and apparatus for celestial navigation
This invention provides an improved method and apparatus for celestial navigation. A reference spherical triangle is established from the coordinates of the ground position of an observed selected...
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4077063 |
Apparatus for rapidly determining the trigonometric functions of an input angle
High-speed hardware is employed to: (1) subdivide an input angle into a series of smaller subangles according to the sine approximation algorithm: SIN(INPUT) ≅ SIN(A) + COS(A)SIN(B) +...
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4060719 |
Computer for solving unknown parameters of geometrical figures
The face of the keyboard of a typical minicomputer is provided with a triangle having its sides and angles closely associated with certain of the computer operating keys to facilitate determination...
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3956623 |
Digital phase detector
A digital phase detector which periodically detects the phase angle θ k of a carrier signal in which data are encoded as discrete phase changes. A coherent or differential phase-modulated carrier...
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3896299 |
Trigonometric analog-to-digital conversion apparatus
Trigonometric conversion apparatus is shown wherein a trial angle is generated and converted to digital sine and cosine of that angle. These digital angle signals are then multiplied times analog...
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3813528 |
HIGH-SPEED FUNCTION GENERATOR
A device for generating the value of the sine and cosine functions for angles between 0° and 360° is disclosed herein. By employing the symmetrical characteristics of the sine and cosine...
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3789393 |
DIGITAL/ANALOG CONVERTER WITH AMPLITUDE AND PULSE-WIDTH MODULATION
Disclosed is a digital-to-analog position-measuring apparatus in which the position-measuring transducer is energized by a combination of differently modulated signals. In one preferred embodiment...
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3735110 |
DIGITAL SINE/COSINE GENERATOR
In a sine/cosine generator the angular value written into an angle register, is directly supplied to a memory (ROM), if either the sine of an angle located in the first or third quadrant, or the...
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3725686 |
POLYPHASOR GENERATION BY VECTOR ADDITION AND SCALAR MULTIPLICATION
Herein is disclosed the method and apparatus for producing angular rotations of an input signal (phasor). The method involves phase shifting the input signal by a preselected amount, vectorially...
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3653769 |
STADIAMETRIC RANGING SYSTEM
Subject disclosure relates to a novel and improved system for determining e range and aspect of an aircraft or any other vehicle moving in three dimensions in relation to a fixed point. The system...
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3638004 |
FOURIER TRANSFORM COMPUTER
A digital computer for rapidly determining the Fourier transform of a real input signal is disclosed. The computer utilizes the symmetries of sinusoidal functions to reduce the computations...
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3593313 |
CALCULATOR APPARATUS
An electronic calculator apparatus capable of storing a plurality of multidigit numbers and of performing operations with respect to those numbers. Operations are defined by two levels of...
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