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7634703 |
Linear approximation of the max* operation for log-map decoding
A decoder for a wireless communication device comprising a calculator for calculating the modulo of a linear approximation of a MAX* function; and a selector for selecting a MAX* output value from...
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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...
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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...
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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...
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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...
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7337203 |
Exponent calculation apparatus and method, and program
An exponent calculation apparatus calculates x e 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...
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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...
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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...
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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...
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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 y LOG (k)/K) as a mathematical function of a digital input signal (x LOG (k)) includes a level-changing device ( 6 ), which by amplifying or...
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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...
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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,...
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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...
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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 t ) and an interleaved version of the coded bits (X t ) are separately modulated and...
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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.
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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...
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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 a i of each of the N...
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6996591 |
System and method to efficiently approximate the term 2x
The present invention relates to a system and method to efficiently approximate the term 2 X . The system includes an approximation apparatus to approximate 2 X , wherein X is a real number. The...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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6757701 |
Apparatus and method for implementing a linearly approximated log map algorithm
A method and apparatus for implementing a linearly approximated Log MAP algorithm, the implementation involves calculating MAX*(a(n),b(n)) function, the method having the steps of: (A) Receiving...
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6711596 |
Method and apparatus for determining the approximate valve of a logarithmic function
A logarithmic arithmetic apparatus for enabling a microprocessor to determine the approximate value of a logarithmic function F(x) at a value of x of interest is disclosed. The apparatus includes...
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6711601 |
Logarithmic arithmetic unit avoiding division as far as predetermined arithmetic precision is guaranteed
A logarithmic arithmetic unit includes first logarithmic operation part multiplying an exponent part of floating-point data by a prescribed value, a logarithmic table memory outputting a...
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6549924 |
Function generating interpolation method and apparatus
An input number is applied to a look-up table that supplies three coefficients based upon certain bits of the input that define a series of bins. The first coefficient is fed directly to an adder...
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6502118 |
Fast system and method for producing a logarithmic signal approximation with variable precision
A system and method for producing an output logarithmic digital signal from an input digital signal having a plurality of bit values in which the output logarithmic signal has a precision defined...
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6182100 |
Method and system for performing a logarithmic estimation within a data processing system
A method for performing a logarithmic estimation on a positive floating-point number within a data processing system is disclosed. A floating-point number includes a sign bit, multiple exponent...
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6178435 |
Method and system for performing a power of two estimation within a data processing system
A method for performing a power of two estimation on a floating-point number within a data processing system is disclosed. The floating-point number includes a sign bit, multiple exponent bits, and...
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6144978 |
Method and device for the approximative computation of the exponential mean of a sequence of coded numbers in floating point format
The process applies to the approximate calculation of the exponential mean of a string of numbers u n coded in a floating-point format used to convey certain bit rate information in ATM networks,...
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6141422 |
Secure cryptographic multi-exponentiation method and coprocessor subsystem
A system for performing high speed exponentiation in a secure environment. The system includes an interface for receiving encrypted data sent from a host system, a plurality of exponentiators...
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6064740 |
Method and apparatus for masking modulo exponentiation calculations in an integrated circuit
Circuitry which performs modular mathematics to solve the equation C=M k mod n and n is performed in a manner to mask the exponent k's signature from timing or power monitoring attacks. The...
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6065031 |
Log converter utilizing offset and method of use thereof
A digital log converter is provided which includes a comparator (10) and a log signal generator (20). Upon receiving a digital input signal (12), the comparator (10) determines whether an upper...
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6038318 |
Optimized machine computation of exponential functions and modulo functions
An optimized approach for machine computation of exponential values or functions is disclosed. The determination of the exponential values is performed using a "Big Multiply" approach and a "Big...
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5951629 |
Method and apparatus for log conversion with scaling
A parallel processor (110) operates in the LOG domain. A LOG converter (114) receives input data in the NORMAL and converts it to the LOG domain for processing in the parallel processing units...
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5935200 |
Exponential functional relationship generator method and system for implementation in digital logic
A system and method for developing a digital control signal Y for setting a target module (D) according to a digital setpoint signal A, a digital feedback signal C, a difference digital signal...
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5831878 |
Exponential and logarithmic conversion circuit
A signal processor includes a normalization circuit (101, 102, 103, 106, 107, 108) for input data and a conversion table (110). A higher digit portion of mantissa portion after normalization is...
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5824936 |
Apparatus and method for approximating an exponential decay in a sound synthesizer
A linear approximation to an exponential decay function exploits the characteristic of an exponential function that, at equal time intervals, the ratio of a parameter value at the beginning of the...
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5801974 |
Calculation method and circuit for obtaining a logarithmic approximation value
The present invention discloses a calculation method utilizing a circuit and a circuit for obtaining a logarithmic approximation value. The circuit minimizes the error in calculating a logarithmic...
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5771391 |
Computer processor having a pipelined architecture and method of using same
A computer processor that performs operations in a logarithmic number system (LNS) domain includes a log converter (20) which generates log signals, a data pipeline (22), a plurality of processing...
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5726924 |
Exponentiation circuit utilizing shift means and method of using same
A circuit and method for computing an exponential signal x g is provided. The circuit includes a logarithm converter which converts an input signal to binary word that represents the logarithm of...
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5721696 |
Method and system for performing an FIR filtering operation
A method and system for an FIR filter are provided. A sequence of input signal is converted to a corresponding sequence of log signals. FIR filtering coefficients are then added to each log signal...
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5703801 |
Logarithm/inverse-logarithm converter utilizing second-order term and method of using same
A converter which may be used for implementing either logarithmic or inverse-logarithmic functions is disclosed. The converter includes a memory, a multiplier, and two adders. The memory stores a...
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5696986 |
Computer processor utilizing logarithmic conversion and method of use thereof
A computer processor for performing mathematical operations includes a logarithm converter which generates log values on a data bus, a plurality of processing elements connected to the data bus, an...
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5600581 |
Logarithm/inverse-logarithm converter utilizing linear interpolation and method of using same
A converter which may be used for implementing either logarithmic or inverse-logarithmic functions includes a memory, a multiplier, and an adder. The memory stores a plurality of pre-computed...
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5570310 |
Method and data processor for finding a logarithm of a number
A data processor and method are used to find log p (x) wherein p is a numerical base and x is a floating point value. The method begins by deriving a number y from the quantity x wherein the...
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