Abstract: Signal processing devices and methods estimate transforms between signals using a least squares technique. From a seed set of transform candidates, a direct least squares method applies a seed transform candidate to a reference signal and then measures correlation between the transformed reference signal and a suspect signal. For each candidate, update coordinates of reference signal features are identified in the suspect signal and provided as input to a least squares method to compute an update to the transform candidate. The method iterates so long as the update of the transform provides a better correlation. At the end of the process, the method identifies a transform or set of top transforms based on a further analysis of correlation, as well as other results.

Abstract: A multiplier for performing multiple types of multiplication including integer, floating point, vector, and polynomial multiplication. The multiplier includes a modified booth encoder within the multiplier and unified circuitry to perform the various types of multiplication. A carry save adder tree is modified to route sum outputs to one part of the tree and to route carry outputs to another part of the tree. The carry save adder tree is also organized into multiple carry save adder trees to perform vector multiplication.

Abstract: A fast lookahead carry adder includes adder logic and lookahead carry-path logic coupled to the adder logic. The carry path logic has a main carry path, a carry entrance path and a carry exit path, the carry entrance path separate from the carry exit path.

Abstract: A technique is provided for performing a mixed precision estimate. A processing circuit receives an input of a first precision having a wide precision value. The processing circuit computes an output in an output exponent range corresponding to a narrow precision value based on the input having the wide precision value.

Abstract: A residue generating circuit for an execution unit that supports vector operations includes an operand register and a residue generator coupled to the operand register. The residue generator includes a first residue generation tree coupled to a first section of the operand register and a second residue generation tree coupled to a second section of the operand register. The first residue generation tree is configured to generate a first residue for first data included in the first section of the operand register. The second residue generation tree is configured to generate a second residue for second data included in a second section of the operand register. The first section of the operand register includes a different number of register bits than the second section of the operand register.

Abstract: A method and apparatus for generating random numbers based on packetized media data comprising querying one or more packetized media devices for a predetermined number of bits from one or more current real-time transport protocol (RTP) session, receiving the predetermined number of bits from the one or more packetized media devices, assembling the predetermined number of bits into a set of bytes; and converting the second set of bytes into a numerical value.

Abstract: A circuit and method for generating an active output signal in response to detecting N events, which are represented by an event signal. A counter circuit is configured to increment and decrement through a sequence of values in response to the event signal. Detection logic coupled to the counter circuit is configured to detect at least first and second values of the sequence. The detection logic is further configured to generate the active output signal and switch to detecting the second value in response to detecting the first value and generate the active output signal and switch to detecting the first value in response to detecting the second value. The first and second values are separated by N counts.

Abstract: According to some embodiments, a system comprises a generator of a truly random signal is connected to an input and feedback device for the purpose of providing a user with real time feedback on the random signal. The user observes a representation of the signal in the process of an external physical event for the purpose of finding a correlation between the random output and what happens during the physical event. In some examples, the system is preferably designed such the system is shielded from all classically known forces such as gravity, physical pressure, motion, electromagnetic fields, humidity, etc. and/or, such classical forces are factored out of the process as much as possible. The system is thus designed to be selectively response to signals from living creatures, in particular, humans.

Abstract: A processing apparatus is provided with processing circuitry 6, 8 and decoder circuitry 10 responsive to a received argument reduction instruction FREDUCE4, FDOT3R to generate control signals 16 for controlling the processing circuitry 6, 8. The action of the argument reduction instruction is to subject each component of an input vector to a scaling which adds or subtracts an exponent shift value C to the exponent of the input vector component. The exponent shift value C is selected such that a sum of this exponent shift value C with the maximum exponent value B of any of the input vector components lies within a range between a first predetermined value and a second predetermined value. A consequence of execution of this argument reduction instruction is that the result vector when subject to a dot-product operation will be resistant to floating point underflows or overflows.

Abstract: A controlled-precision Iterative Arithmetic Logic Unit (IALU) included in a processor produces sub-precision results, i.e. results having a bit precision less than full precision. In one embodiment, the controlled-precision IALU comprises an arithmetic logic circuit and a precision control circuit. The arithmetic logic circuit is configured to iteratively process operands of a first bit precision to obtain a result. The precision control circuit is configured to end the iterative operand processing when the result achieves a programmed second bit precision less than the first bit precision. In one embodiment, the precision control circuit causes the arithmetic logic circuit to end the iterative operand processing in response to an indicator received by the control circuit. The controlled-precision IALU further comprises rounding logic configured to round the sub-precision result.

Abstract: An automated method of performing exponentiation is disclosed. A plurality of tables holding factors for obtaining results of Exponentiations are provided. The plurality of tables are loaded into computer memory. Each factor is the result of a second exponentiation of a constant and an exponent. The exponent is related to a memory address corresponding to the factor. A plurality of memory addresses are identified for performing the first exponentiation by breaking up the first exponentiation into equations, the results of which are factors of the first Exponentiation. The exponents of the equations are related to the memory addresses corresponding to the factors held in the tables. A plurality of lookups into the computer memory are performed to retrieve the factors held in the tables corresponding to the respective memory addresses. The retrieved factors are multiplied together to obtain the result of the first exponentiation.

Abstract: Processing circuitry is provided to perform an operation FRINT for rounding a floating-point value to an integral floating-point value. Control circuitry controls the processing circuitry to perform the FRINT operation in response to an FRINT instruction. The processing circuitry includes shifting circuitry for generating a rounding value by shifting a base value, adding circuitry for adding the rounding value to the significand of the floating-point value to generate a sum value, mask generating circuitry for generating a mask for clearing fractional-valued bits of the sum value, and masking circuitry for applying the mask to the sum value to generate the integral floating-point value.

Abstract: An apparatus for PLL bandwidth expansion including a compensation filter and a phase locked loop, where the compensation filter is programmed with a compensation function derived based on programmable coefficients and parameters of a transmitting device, a frequency response of the phase locked loop, and a wanted frequency response.

Abstract: A matrix calculation system for calculating funny matrix multiplication (FMM) of a matrix A and a matrix B, including: sequentially calculating a permutation of indices {ai} in which values are arranged in a non-decreasing order with respect to each i-th row where i=1 to the number of rows of the matrix A; storing a value, which is greater than expected as a value of a matrix, for C[i, j] with respect to each j-th column where j=1 to the number of columns of the matrix A in the i-th row; sequentially calculating a permutation of indices {bj} in which values are arranged in a non-decreasing order with respect to each j-th column where j=1 to the number of columns of the matrix B; and setting the values of C[i, j], which are i and j components of the matrix C.

Abstract: A method, circuit arrangement, and program product for executing instructions including denormal values for one or more operands in a vector execution unit. A denormal value operand may be prenormalized by a first processing lane of the vector execution unit upon detecting the denormal value. The prenormalized value and any other operands of the instruction may be communicated to a dot product adder of the vector execution unit. The dot product adder performs at least a portion of the floating point operation with the prenormalized value and any other operands of the instruction.

Abstract: A method, circuit arrangement, and program product for executing instructions including denormal values for one or more operands in a vector execution unit. A denormal value operand may be prenormalized by a first processing lane of the vector execution unit upon detecting the denormal value. The prenormalized value and any other operands of the instruction may be communicated to a dot product adder of the vector execution unit. The dot product adder performs at least a portion of the floating point operation with the prenormalized value and any other operands of the instruction.

Abstract: Disclosed are new approaches to Multi-dimensional filtering with a reduced number of memory reads and writes. In one embodiment, a filter includes first and second coefficients. A block of a data having width and height each equal to the number of one of the first or second coefficients is read from a memory device. Arrays of values from the block are filtering using the first filter coefficients and the results filtered using the second coefficients. The final result may be optionally blended with another data value and written to a memory device. Registers store results of filtering with the first coefficients. The block of data may be read from a location including a source coordinate. The final result of filtering may be written to a destination coordinate obtained by rotating and/or mirroring the source coordinate. The orientation of arrays filtered using the first coefficients varies according to a rotation mode.

Abstract: A communication device includes a storage unit to store quotients and remainders associated with multiplication values obtained by multiplying a specified integer number, which is expressed in a form of (2?+?) where ? is a positive integer number and ? is a positive integer number other than integral multiples of 2, respectively, the quotients and the remainders being obtained by dividing the multiplication values by 2?, respectively, a first unit to divide a dividend by 2?and calculate a quotient and a remainder, a second unit to obtain a quotient, which corresponds to the remainder from the storage unit, and a third unit to determine that the data length of the packet data is normal, when a combination of the quotient and the remainder calculated by the first unit is in the storage unit.

Abstract: Apparatus and method for processing linear systems of equations and finding a n×1 vector x satisfying Ax=b where A is a symmetric, positive-definite n×n matrix corresponding to n×n predefined high-precision elements and b is an n1 vector corresponding to n predefined high-precision elements. A first iterative process generates n low-precision elements corresponding to an n×1 vector xl satisfying Alxl=bl where Al, bl are elements in low precision. The elements are converted to high-precision data elements to obtain a current solution vector x. A second iterative process generates n low-precision data elements corresponding to an n×1 correction vector dependent on the difference between the vector b and the vector product Ax. Then there is produced from the n low-precision data elements of the correction vector respective high-precision data elements of an n×1 update vector u. The data elements of the current solution vector x are updated such that x=x+u.

Abstract: Solving computational problems may include generating a logic circuit representation of the computational problem, encoding the logic circuit representation as a discrete optimization problem, and solving the discrete optimization problem using a quantum processor. Output(s) of the logic circuit representation may be clamped such that the solving involves effectively executing the logic circuit representation in reverse to determine input(s) that corresponds to the clamped output(s). The representation may be of a multiplication circuit. The discrete optimization problem may be composed of a set of miniature optimization problems, where each miniature optimization problem encodes a respective logic gate from the logic circuit representation. A multiplication circuit may employ binary representations of factors, and these binary representations may be decomposed to reduce the total number of variables required to represent the multiplication circuit.