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| Number | Title | Issue Date |
| 8041756 | Method and apparatus for high speed calculation of non-linear functions and networks using non-linear function calculations for digital signal processing The invention includes apparatus and methods for high-speed calculation of non-linear functions based upon a shifted adder and a offset generator. Various implementations may preferably include a input preprocessor and/or an output post processor. The invention incl... | 10/18/2011 |
| 7912883 | Exponent processing systems and methods Embodiments of exponent processing systems and methods are disclosed. One method embodiment, among others, comprises performing a first table lookup using a first address to provide a first value corresponding to the first component part, setting an integer exponent... | 03/22/2011 |
| 7644116 | Digital implementation of fractional exponentiation Provided are digital processing apparatuses and techniques for estimating the fractional exponentiation of the base number 2, i.e., 2f where f is a fractional value. In one representative embodiment, a calculation is made of a folded quantity, which is eq... | 01/05/2010 |
| 7606850 | Method and apparatus for providing a base-2 logarithm approximation to a binary number An apparatus for providing a base-2 logarithm approximation to a binary number is disclosed. A position k of the most significant bit within a binary number is located. Then, all bits that are less significant than position k within the binary number are assigned as... | 10/20/2009 |
| 7584234 | Method and apparatus for narrow to very wide instruction generation for arithmetic circuitry A method and apparatus for generating a wide instruction controlling at least one data processing resource, local to that data processing resource, by accessing a local wide instruction memory based upon a narrow instruction, to generate at least part of the wide in... | 09/01/2009 |
| 7539717 | Logarithm processing systems and methods Embodiments of logarithm processing systems and methods are disclosed. The system embodiments described herein include two tables corresponding to various base and derivative functions of a logarithm, with logic configured to access the tables and format and normali... | 05/26/2009 |
| 7509363 | Method and system for approximating sine and cosine functions A technique for approximating output values of a function based on LaGrange polynomials is provided. Factorization of a LaGrange polynomial results in a simplified representation of the LaGrange polynomial. With this simplified representation, an output value of a f... | 03/24/2009 |
| 7337203 | Exponent calculation apparatus and method, and program An exponent calculation apparatus calculates xe based on input two integers x and e. A pre-calculation module pre-calculates x^{l_i} for each of candidate exponents {l_i} (0≦i≦L−1) stored in a candidate exponents storing unit, the number of the cand... | 02/26/2008 |
| 7321912 | Device with dB-to-linear gain conversion An electronic dB-to-linear gain conversion system (10). The system comprises an input (12) for receiving a gain index signal (GI) representing a desired dB value. The desired dB value is selected from a set having an integer number S of dB values. The ... | 01/22/2008 |
| 7290024 | Methods and apparatus for performing mathematical operations using scaled integers Methods, apparatus, and articles of manufacture for performing mathematical operations using scaled integers are disclosed. In particular, an example method identifies a scaled-integer value and determines a multiplier value and a scale value based on the scaled-int... | 10/30/2007 |
| 7271748 | System and method for providing a thermometer coded output filter Systems and methods are provided for providing a filtered, thermometer coded output signal from an N bit digital input, where N is an integer greater than one. A truncated lookup table provides a corresponding truncated thermometer code in response an address relate... | 09/18/2007 |
| 7266576 | Circuits and methods for implementing approximations to logarithms A method for approximating a base 2 logarithm of a binary input and the circuit to implement the method are disclosed. The circuit comprises means for determining the integer portion of the logarithm, a lookup table module, a residual function module, an adder modul... | 09/04/2007 |
| 7251322 | Systems and methods for echo cancellation with arbitrary playback sampling rates The present invention relates to systems and methods that remove echo from a signal via a novel echo cancellation technique that supports arbitrary playback sampling rates. The novel echo cancellation technique transforms a playback signal to a frequency domain repr... | 07/31/2007 |
| 7249154 | Method and apparatus for producing an exponential signal An exponential signal generator having a memory, a scale unit and an adder. A value stored in the memory is scaled and added to itself to produce a new value for storing in the memory. The exponential signal is represented by the exponential value. ... | 07/24/2007 |
| 7237177 | Method of calculating internal signals for use in a map algorithm A method of calculating internal signals for use in a MAP algorithm is disclosed, comprising the steps of: obtaining first decoding signals by processing received systematic and received encoded symbols of each symbol sequence of a... | 06/26/2007 |
| 7233966 | Method and device for generating an output signal as a mathematical function of an input signal A device (1) for generating a digital output signal yLOG(k)/K) as a mathematical function of a digital input signal (xLOG(k)) includes a level-changing device (6), which by amplifying or attenuating the input signal (xLOG | 06/19/2007 |
| 7227551 | Manipulating text and graphic appearance A method, device and computer system for creating a smooth, continuous height (scalar or vector) field are described. The described techniques permit arbitrary closed regions to be smoothly shaded without producing unnatural smoothness at the region's edges or bound... | 06/05/2007 |
| 7221721 | Frequency offset calculation method using log transforms and linear approximation A method for calculating frequency offset using arc tangent calculations according to real part and imaginary part input values received externally. The method includes converting arc tangent equations for determining frequency offset into equations to perform log c... | 05/22/2007 |
| 7180959 | Technique for utilizing spare bandwidth resulting from the use of a code in a multi-level signaling system A technique for utilizing spare bandwidth resulting from the use of a code in a multi-level signaling system is disclosed. In one particular exemplary embodiment, the technique may be realized as a method for utilizing spare bandwidth resulting from the use of a cod... | 02/20/2007 |
| 7180957 | Technique for utilizing spare bandwidth resulting from the use of a transition-limiting code in a multi-level signaling system A technique for utilizing spare bandwidth resulting from the use of a transition-limiting code in a multi-level signaling system is disclosed. In one particular exemplary embodiment, the technique may be realized as a method for utilizing spare bandwidth resulting f... | 02/20/2007 |
| 7180958 | Technique for utilizing spare bandwidth resulting from the use of a transition-limiting code in a multi-level signaling system A technique for utilizing spare bandwidth resulting from the use of a transition-limiting code in a multi-level signaling system is disclosed. In one particular exemplary embodiment, the technique may be realized as a method for utilizing spare bandwidth resulting f... | 02/20/2007 |
| 7171435 | Circuits, systems, and methods implementing approximations for logarithm, inverse logarithm, and reciprocal A digital signal system (30) for determining an approximate logarithm of a value of x having a base b is described. The system comprises circuitry for storing x as a digital representation, identifying a most significant digit (MSD) of the digital representat... | 01/30/2007 |
| 7143126 | Method and apparatus for implementing power of two floating point estimation A method and apparatus are provided for implementing a power of two estimation function in a general purpose floating-point processor. A floating point number is stored within a memory. The floating point number includes a sign bit, a plurality of exponent bits, and... | 11/28/2006 |
| 7120213 | Using SISO decoder feedback to produce symbol probabilities for use in wireless communications that utilize single encoder turbo coding and transmit diversity An apparatus and method for transmitting and receiving a bit stream. On the transmission side, coded bits (Y.sub.t) and an interleaved version of the coded bits (X.sub.t) are separately modulated and transmitted. On the reception side, a priori output probabilities ... | 10/10/2006 |
| 7107300 | Circuits, systems, and methods implementing approximations for inverse logarithm A digital signal system (50) determines an approximate antilog x from a value of ƒ(x), where x has a base b. ... | 09/12/2006 |
| 7072926 | Blind transport format detection system and method with logarithm approximation for reliability figure Blind transport format detection with sliding window trace-back for evaluating decodings to candidate block lengths together with piecewise linear approximation of the reliability figure (logarithm of ratio of maximum survivor path metric minus minimum survivor path... | 07/04/2006 |
| 7058188 | Configurable digital loudness compensation system and method An audio loudness compensation system includes a level sensor receiving an audio input signal and operable to estimate a level of the audio input signal over a first predetermined time period, and a level mapper receiving the estimated level and operable to map the ... | 06/06/2006 |
| 7031993 | Method 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 |
| 7007052 | Efficient real-time computation Systems and methods for determining coefficients a filter are disclosed. The filter coefficients are computed by determining a sine of an input value and an inverse of the input value. The sine of the input signal and the inverse of the input signal are multiplied t... | 02/28/2006 |
| 6996591 | System and method to efficiently approximate the term 2x The present invention relates to a system and method to efficiently approximate the term 2X. The system includes an approximation apparatus to approximate 2X, wherein X is a real number. The system further includes a memory to store a computer ... | 02/07/2006 |
| 6981009 | Apparatus and method for computing a logarithm of a floating-point number An apparatus for computing a logarithm to a base p of a floating-point number X. The floating-point number X is represented in the format of (−1)Sx·2Ex·Mx, where Mx=(1+fx)=(1+Ax·2−K)... | 12/27/2005 |
| 6978289 | Apparatus and method for minimizing accumulated rounding errors in coefficient values in a lookup table for interpolating polynomials An apparatus and method are disclosed for minimizing accumulated rounding errors in coefficient values in a lookup table for interpolating polynomials. Unlike prior art methods that individually round each polynomial coefficient of a function, the method of the pres... | 12/20/2005 |
| 6976043 | Technique for approximating functions based on lagrange polynomials A technique for approximating output values of a function based on LaGrange polynomials is provided. Factorization of a LaGrange polynomial results in a simplified representation of the LaGrange polynomial. With this simplified representation, an output value of a f... | 12/13/2005 |
| 6950841 | Logarithmic lookup tables In one embodiment, the invention is directed toward techniques for generating results in a logarithmic domain. The techniques may exploit properties of a logarithmic function to reduce the memory requirements needed to implement lookup tables. For example, the techn... | 09/27/2005 |
| 6922711 | Approximate calculator for non-linear function and map decoder using same A calculator calculates an approximate value of a function Y=log (1+e−x) using input data x. In the calculator, a decoder outputs m-bit data that represents a value corresponding to the slope of a straight line, and further outputs intercept data of the... | 07/26/2005 |
| 6910059 | Apparatus and method for calculating an exponential calculating result of a floating-point number An apparatus for calculating an exponential calculating result for a base 2 floating-point number comprises a transforming device, K exponential tables and a multiplier. The transforming device receives the floating-point number, transforms the floating-point number... | 06/21/2005 |
| 6883012 | Linear-to-log converter for power estimation in a wireless data network receiver A converter to convert an N-bit input in a linear scale to an M-bit output in a logarithmic scale. The converter includes a set of K subrange converters each coupled to a respective number of bits of the N-bit input that represents a subrange of the N-bit input, eac... | 04/19/2005 |
| 6822762 | Local color correction An input image represented by a set of input pixel values is color-corrected by locally modifying the input pixel values according to pixel neighborhoods; and determining an output image having a set of output pixel values. Each set of output pixel values equals a n... | 11/23/2004 |
| 6813041 | Method and apparatus for performing local color correction The invention is directed towards method and apparatus for performing local color correction. One embodiment of the invention is a two-part process. The first part derives an image mask from an input image. In some embodiments, the mask is an inverted, low-pass filt... | 11/02/2004 |
| 6779015 | Method for implementation of power calculation on a fixed-point processor using table lookup and linear approximation A method for calculating the power of an integer raised to a constant real number. The method may be used to process digital signals, which are encoded in such a fashion as to require such processing. An embodiment of the present invention first receives a segment o... | 08/17/2004 |
