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Class 708/276 - Trigonometric


Subclass of Class 708 - Electrical computers: arithmetic processing and calculating
Definition: Subject matter where the desired waveform has trigonometric
No. of patents: 233
Last issue date: 01/03/2012


1            
NumberTitleIssue Date
8090756Method and apparatus for generating trigonometric results
A method, computer-readable medium, and apparatus for generating a trigonometric value. The method includes receiving a request to calculate a trigonometric value for an angle value and calculating a fractional value from the angle value. The fractional value corres...
01/03/2012
8082285Digital sine wave generator
In accordance with described exemplary embodiments, correction is inserted into the feedback loop of a second order resonator used at the time of frequency transition. The correction is based upon parameters generated from a desired output signal frequency and a des...
12/20/2011
7984091Quadratic approximation for fast fourier transformation
Interpolators for quadratic approximation for sinusoids are described. A sample source providing first order derivatives of sub-sampled sets of phase factor samples is used. A differentiator is coupled to receive the first order derivatives and configured to provide...
07/19/2011
7945609Method for composing lookup table and searching index thereof
A method for composing a lookup table and searching indexes thereof is provided. The method includes the steps of: a) composing a lookup table using a symmetry of a sine and a cosine function; b) changing and setting a gain of a DCO by reflecting a lookup table size...
05/17/2011
7933942Low cost, high purity sign wave generator
An automatic test system that includes low cost and accurate circuitry for generating sinusoidal signals. Each sinusoidal signal generator produces a series of digital values approximating a sine wave. These values are computed, avoiding the need for large memories ...
04/26/2011
7890562Sine wave generator with dual port look-up table
An automatic test system that includes low cost and accurate circuitry for generating sinusoidal signals. Each sinusoidal signal generator includes a look-up table that can, for each phase on sine wave, output two digital values representing an in-phase and a quadra...
02/15/2011
7580964Hardware-efficient phase-to-amplitude mapping design for direct digital frequency synthesizers
A hardware-efficient mapping circuit uses a base decoder to decode the control signal (the most significant bits “MSBs” of the phase angle) to provide a base value. A controller maps the control signal to a segment number to down select signed shift values from ...
08/25/2009
7512646Precision complex sinusoid generation using limited processing
A first phasor associated with an electronic signal and a delta phasor associated with a cyclic rate of the electronic signal are multiplied to produce a second phasor. To compensate for any deviation in the magnitude of the second phasor, a real and imaginary corre...
03/31/2009
744098716 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 angles and calculating the trigonometric function using complex arithmet...
10/21/2008
7437391Numerically controlled oscillator and method of operation
In one embodiment, the present invention is directed to a numerically controlled oscillator. The numerically controlled oscillator comprises: a phase accumulator for receiving an input digital word; and a phase to amplitude converter that is operatively coupled to t...
10/14/2008
7370069Numerical value conversion using a look-up table for coefficient storage
A device for performing numerical value conversion of a digital input value in a first unit to a second unit being a natural unit includes a look-up table storing an array of coefficients for performing the numerical value conversion. The look-up table is indexed us...
05/06/2008
7366326Real-time implementation of field programmable gate arrays (FPGA) design in hyperspectral imaging
A Field Programmable Gate Arrays (FPGA) design uses a Coordinate Rotation DIgital Computer (CORDIC) algorithm that can convert a Givens rotation of a vector to a set of shift-add operations. The CORDIC algorithm can be easily implemented in hardware architecture, th...
04/29/2008
7355535Signal processing providing lower downsampling losses
Methods and devices for processing GPS signals are provided. The device includes: means for storing one or more lookup tables, each lookup table comprising a plurality of entries, each entry comprising an input segment and an output segment, wherein the output segme...
04/08/2008
7327816High resolution synthesizer with improved signal purity
An automatic test system using a DDS signal generator to create a signal with high spectral purity or a low jitter digital clock. The low jitter clock has variable frequency and is programmed to control other test functions, such as the generation of arbitrary wavef...
02/05/2008
7324598Apparatus and method to reduce quantization error
An apparatus includes a quantizer to generate a quantized signal from an input signal and a function unit may be included to generate an output signal by applying a predetermined function to the quantized signal. The apparatus further may include a correction unit t...
01/29/2008
7321911Method of generating sinusoidal signal
Methods, devices and a software product for generating a sinusoidal signal of a desired frequency at a desired sampling rate. If the frequency is higher than the upper limit, a coefficient is determined as a function of the sampling rate and a sample of the first ou...
01/22/2008
7280061Digital-to-analog converter using a frequency hopping clock generator
Method and device for reducing the signal images at the output of a digital/analog converter. In a method for reducing the signal images at the output of a digital/analog converter, a frequency hopping clock generator provides a digital data signal whose data rate i...
10/09/2007
7271824Pixel clock generating apparatus, optical writing apparatus using a pixel clock, imaging apparatus, and method for generating pixel clocks
A pixel clock generating apparatus includes a data offset circuit and a pixel generator. The data offset circuit defines multiple data blocks, each data block consisting of a predetermined number of successive clocks, and produces phase data for each data block. The...
09/18/2007
7260592Addressing mode and/or instruction for providing sine and cosine value pairs
The present invention relates to a method and system for providing sine and cosine value pairs in a processor. The method includes decoding a sine and cosine instruction having a predetermined source angle and generating an index value for a sine cosine table (SCT) ...
08/21/2007
7256815Image forming method, image forming apparatus, optical scan device, and image forming apparatus using the same
An optical scan device having an optical deflector reflecting a light beam from a light beam source so as to deflect the light beam and having a surface to be scanned on which information is written such that the light beam deflected by the deflector scans the surfa...
08/14/2007
7257079Physical layer and data link interface with adaptive speed
A word-based interface between a MAC and a PHY, allowing for variable pin counts, variable PHY and MAC data speeds, and variable numbers of connected PHYs. The word-based interface allows for the PHY to provide PHY-to-MAC words to the MAC, and for the MAC to provide...
08/14/2007
7240083Precision complex sinusoid generation using limited processing
A first phasor associated with an electronic signal and a delta phasor associated with a cyclic rate of the electronic signal are multiplied to produce a second phasor. To compensate for any deviation in the magnitude of the second phasor, a real and imaginary corre...
07/03/2007
7225113Systems and methods for statistical modeling of complex data sets
The present invention comprises methods and a computer-readable medium comprising programming code for automatic statistical modeling of data. In an embodiment, the analysis is completely automatic with a single computer stroke providing an analysis of data with at ...
05/29/2007
7205798Phase error correction circuit for a high speed frequency synthesizer
Circuits, methods, and apparatus for reducing the phase error in an NCO clock output to reduce the clock jitter. This is particularly beneficial where the frequencies of the NCO output and reference signal are unrelated. One embodiment provides a circuit that correc...
04/17/2007
7203718Apparatus and method for angle rotation
An angle rotator uses a coarse stage rotation and a fine stage rotation to rotate an input complex signal in the complex plane according to an angle θ. The coarse stage rotation includes a memory device storing pre-computed cosine θM and sine θM
04/10/2007
7193643Scan non-linearity correction using frequency modulation and synchronization with a master clock
An electronic circuit is utilized to correct scan non-linearity of a raster output scanner. The circuit modulates a clock frequency to match a scan linearity error profile. Because it is a separate circuit, the exiting closed-loop clock generator does not need to be...
03/20/2007
7193449Method and apparatus for generating multi-phase signal
A multi-phase signal generating apparatus is provided for readily generating multiple phase signals. The multi-phase signal generating apparatus comprises a signal data storage which stores a plurality of data segments for determining a predetermined period of one s...
03/20/2007
7165445Digital control of quality factor in resonant systems including cantilever based instruments
A digital system for controlling the quality factor in a resonant device. The resonant device can be any mechanically driven resonant device, but more particularly can be a device that includes a cantilever within its system, such as an atomic force microscope. The ...
01/23/2007
7154431Signal synthesizer and method therefor
A digital synthesizer includes a digital radio frequency memory (DRFM) for storing phase values and corresponding digital signals. The digital synthesizer includes a digital processing circuit receiving input from the DRFM, the circuit including tapped delay lines a...
12/26/2006
7145487Signal processing providing lower downsampling losses
Methods and devices for processing GPS signals are provided. The device includes: a memory for storing one or more lookup tables, each lookup table including a plurality of entries, each entry including an input segment and an output segment, wherein the output segm...
12/05/2006
7135933System for adjusting frequency of electrical output pulses derived from an oscillator
A system for setting and adjusting a frequency of electrical output pulses derived from an oscillator in a network is disclosed. The system comprises an accumulator module configured to receive pulses from an oscillator and to output an accumulated value. An adjusto...
11/14/2006
7103108Digital signal processor transceiver
A digital signal processor transceiver uses a finite impulse response filter memory to construct a phase integrated angle at each clock cycle. The FIR filter memory is addressed by a multibit pattern and a time count which are used in conjunction to determine the ad...
09/05/2006
7103622Direct digital synthesizer with output signal jitter reduction
A method and apparatus for reducing unwanted harmonics in direct digital synthesizer (DDS) output. The method comprises the steps of providing a set of k phase-shifted clock signals, examining, in succession, each DDS accumulator state, and determining whether the D...
09/05/2006
7072925Generator structures and methods that provide low-harmonic curvilinear waveforms
Simple, inexpensive waveform generators and methods are provided that generate curvilinear waveforms which comprise a fundamental sinusoid and harmonics that are either absent or are significantly reduced from the fundamental. In an exemplary method, a generator con...
07/04/2006
7064616Multi-stage numeric counter oscillator
A numeric counter oscillator is disclosed comprising a quotient accumulator and a remainder accumulator. The quotient accumulator has a programmable input for receiving a QUOTIENT value, a reference clock input and a multi-bit output. The output is adapted for trans...
06/20/2006
7031993Method and apparatus for fast natural log(X) calculation
A method for computing a natural logarithm function includes partitioning a mantissa region between 1 and 2 into N equally spaced sub-regions; precomputing a reference point ai of each of the N equally spaced sub-regions, where i=0, . . . ,N−1; selectin...
04/18/2006
7031992Hardware function generator support in a DSP
The present invention relates to digital signal processors with an integrated module configured to compute a Coordinate Rotation Digital Computer (CORDIC) in a pipeline. The pipelined module can advantageously complete computation of one CORDIC computation for each ...
04/18/2006
7026846Synthesizer structures and methods that reduce spurious signals
Synthesizers are provided to generate synthesizer signals in response to primary digital signal representations that are created by a signal generator. In an important feature, the synthesizers further include a signal corrector that inserts correction digital signa...
04/11/2006
7023368Digital-to-analog signal converting apparatus and method to extend usable spectrum over Nyquist frequency
A digital-circuit return-to-zero device and method for digital-to-analog conversion is disclosed that uses an internal multiplexer alternatively selecting, or selecting in a scheduled fashion, digital input data and an expansion code. By the using the disclosed mult...
04/04/2006
7019567Sine wave generation circuit
A sine wave generation circuit for generating a high precision pseudo sine wave without increasing the circuit size including a pulse generation circuit for generating a plurality of pulse signals using an input clock signal as reference and a voltage output circuit...
03/28/2006
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