Patent
Method and system for estimating a base-2 logarithm of a number
TLDR
In this paper, a method and system for estimating a logarithm of a number where a linear approximation of a fractional part is determined and the linear approximation is implemented in a single polynomial function is presented.Abstract:
The present invention is directed to methods and systems for estimating the log base-2 of a fixed point binary number using a single polynomial for an entire possible range of input numbers. An estimation of the log base-2 of a fixed-point binary number in either hardware or software may be implemented using a minimal number of parameters. In particular, a single 2 nd order or greater polynomial may be sufficient to cover an entire range of input values for any arbitrary input word precision. The present invention provides a method and system for estimating a logarithm of a number where a linear approximation of a fractional part is determined and the linear approximation is implemented in a single polynomial function for estimating the fractional part for a range of input values. A circuit for generating an integer part and an estimate of a fractional part of a logarithm may include a shift register for loading a valid input data and for generating an estimate of a fractional part and a counter for loading a total number of bits in an input data and for generating an integer part, wherein the circuit implements a single polynomial for generating an improved estimate of the fractional part.read more
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References
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Patent
Exponential and logarithmic conversion circuit
TL;DR: A signal processor includes a normalization circuit (101, 102, 103, 106, 107, 108, 108) for input data and a conversion table (110) as discussed by the authors, where a higher digit portion of mantissa portion after normalization is logarithmically converted by looking up table data stored in the conversion table.
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System for dynamically adapting the length of a filter
Nir Tal,Nir Shapira,Ron Cohen +2 more
TL;DR: In this article, a novel process by which the utilization of a central processing unit (CPU) in performing filtering operations can be reduced by shortening the filter's length thus degrading the performance of the system down to a predetermined level or threshold.
Patent
Floating point to logarithm converter
TL;DR: In this paper, a method for converting an n-bit floating point number to a logarithmic representation, the number having a first set of bits assigned to a mantissa, and a second set of bit assigned to an exponent, is presented.
Patent
Transmission power control method in asymmetric digital subscriber line system
TL;DR: In this article, the authors propose a transmission power control method in an asymmetric digital subscriber line (ADSL) system for transmitting data through a telephone line interposed between an ADSL-TUC (Transmission Unit Center) and an ADSLI-TUR (transmission unit remote).
Patent
Digital circuit for calculating a logarithm of a number
TL;DR: In this paper, a digital circuit computes the logarithm of a number by first determining a multiplicity of factors from a predetermined set of factors such that the product of the multiplicity and the number equals the base of the number.