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2916 results about "Minimum distance" patented technology

The term minimum distance may refer to. Minimum distance estimation, a statistical method for fitting a model to data. Closest pair of points problem, the algorithmic problem of finding two points that have the minimum distance among a larger set of points. Euclidean distance, the minimum length of any curve between two points in the plane.

Algebraic soft decoding of reed-solomon codes

InactiveUS6634007B1Maximizes the expected scoreMaximizing the expected scoreOther decoding techniquesAlgebraic geometric codesDecoding methodsRound complexity
An algorithmic soft-decision decoding method for Reed-Solomon codes proceeds as follows. Given the reliability matrix Pi showing the probability that a code symbol of a particular value was transmitted at each position, computing a multiplicity matrix M which determines the interpolation points and their multiplicities. Given this multiplicity matrix M, soft interpolation is performed to find the non-trivial polynomial Q<HIL><PDAT>M</SB><PDAT>(X,Y) of the lowest (weighted) degree whose zeros and their multiplicities are as specified by the matrix M. Given this non-trivial polynomial Q<HIL><PDAT>M</SB><PDAT>(X,Y), all factors of Q<HIL><PDAT>M</SB><PDAT>(X,Y) of type Y-f(X) are found, where f(X) is a polynomial in X whose degree is less than the dimension k of the Reed-Solomon code. Given these polynomials f(X), a codeword is reconstructed from each of them, and the most likely of these codewords selected as the output of the algorithm. The algorithmic method is algebraic, operates in polynomial time, and significantly outperforms conventional hard-decision decoding, generalized minimum distance decoding, and Guruswami-Sudan decoding of Reed-Solomon codes. By varying the total number of interpolation points recorded in the multiplicity matrix M, the complexity of decoding can be adjusted in real time to any feasible level of performance. The algorithmic method extends to algebraic soft-decision decoding of Bose-Chaudhuri-Hocquenghem codes and algebraic-geometry codes.</PTEXT>
Owner:MIND FUSION LLC

Guided catheter with removable magnetic guide

A feeding tube apparatus, a kit containing the feed tube apparatus and method for intubating a patient to deliver the feeding tube apparatus to the desired location for delivering nutrients and/or medication are described herein. The feeding tube apparatus (10) contains at least a catheter (20) and a removable stylet (30), where the removable stylet contains one or more magnetic materials (32a-j). In one embodiment, the stylet contains more than one magnetic material in the form of a magnet stack (33). The feeding tube apparatus is used in combination with a suitable external magnet (40) which a medical practitioner can use to guide the feeding tube apparatus (10) through the intestinal tract. Optionally, the feeding tube apparatus contains additional components, such as a spring wire guide. The feeding tube apparatus is inserted into the patient's body and the external magnet (40) is applied to the patient's body within the minimum distance required to create a magnetic field between the external magnet (40) and the magnetic material(s) (32) located at the distal end (34) of the stylet (30) that is sufficiently strong to allow the external magnet to guide the catheter and stylet through the intestinal tract, and into the distal duodenum (470) of the small intestine. Once the catheter is placed in the desired location, the stylet is removed, thereby removing the magnetic material(s) from the feeding tube apparatus. This allows for the catheter to remain in place while the patient undergoes diagnostic testing, such as magnetic resonance imaging.
Owner:SYNCRO MEDICAL INNOVATIONS

Method and computer system for creating a dental restoration model

A method for generating a 3D model for a restoration is operative in a computer having a display. The method begins by obtaining a 3D model of the preparation. The preparation model may be obtained by an operator using a 3D digitizer. A “margin” curve on the preparation model is then determined. The method then continues by selecting a given 3D restoration cap model from a set of such models, where the set includes cap models that vary by one or more characteristics such as type, age, sex and ethnicity. The restoration cap model has a cap edge curve. According to the invention, the method then continues by fitting the restoration cap model over the preparation model (on the computer display) so that a minimum distance between the restoration cap and the restoration model is greater than a given minimum material thickness. The restoration cap model is then reshaped or otherwise scaled as necessary so that the restoration cap edge curve is related to the margin curve in a predetermined manner. In particular, preferably the cap edge curve is related to the margin curve by an angle from vertical that is equal or substantially equal to a given emergence angle at each point along the curve. To complete the model, a side surface is then created, preferably by lofting a surface from the margin curve to the cap edge curve.
Owner:D4D TECH LP

Apparatus and method of CTCM encoding and decoding for a digital communication system

A method of building systematically a multi-dimensional (n, D, L) circular trellis coded modulation (CTCM) encoder with properties of optimal energy efficiency, strong tail biting and maximum minimum distance (dmin) of trellis paths is disclosed. In addition, a communication system for use in a power limited channel application is disclosed comprising a circular trellis coded modulation (CTCM) encoder with permuted state structure for encoding based on a circular trellis path associated with a sequence of digital information bits and a set of simplexes identified for the path from a multi-dimensional signal constellation; a transmitter coupled to said CTCM encoder for transmitting said sequence of channel symbols over said channel; a receiver for receiving a transmission from said transmitter including said sequence of channel symbols and any noise induced therein; and a CTCM decoder coupled to said receiver for decoding the received transmission without knowledge of the starting state of the circular trellis path of the CTCM encoder to recover the sequence of information bits. Apparatus and methods of encoding and decoding are also disclosed utilizing a combination of circular trellis-coded modulation with permuted state structure and simplex signal constellation techniques for use in the digital communication system.
Owner:OHIO UNIV

Image searching method

The invention discloses an image searching method, which comprises a training part and a searching part, wherein the training part comprises the following steps of: the extraction of characteristic points, the supplementation of the characteristic points and the determination of matching relationships, the generation of similar point set, the clustering of the characteristic point sets and the generation of characteristic vectors of each image in an image database; and the searching part comprises the following steps of: extracting the characteristic points of a picture to be retrieved and generating the characteristic point sets; calculating distances between each characteristic point descriptor vector and corresponding cluster centers, and determining a cluster where a current characteristic point belongs by using a smallest distance; calculating the frequency ni of each cluster where the characteristic points of the picture to be retrieved belong; based on the frequency ni of the clusters where the characteristic points of the picture to be retrieved belong, and the probability logarithm wi of each cluster, generating and unitizing the characteristic vector; and calculating Euler distances between the characteristic vector of the picture to be retrieved and the characteristic vectors of each image in a picture library, and selecting the image output with the smallest distance as a searching result.
Owner:南京来坞信息科技有限公司
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