Zener-diode function generator.
Zener diode function generator eliminates need for external reference voltage source
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Logical-function generator
Apparatus and technique for generating logical functions and circuits have been developed. They provide aid in designing and constructing hardware to generate logic circuits, by defining circuit connections required to generate these functions. With this method, it is possible quickly and automatically to design logic, while eliminating involved and time-consuming mathematical manipulations.
Sivertson, W. E., Jr.↗
Zener diode function generator requires no external reference voltage
Function generator utilizing parallel impedance networks with zener diodes produces functions which are discontinuous in slope. The function generated appears at the output of the parallel network in the form of a voltage varying in time.
Bolte, G.↗
On determining a distribution function known only by its moment and/or moment generating function
Distribution function determination using moment generating function and probability density function
Hill, T. W., Jr.↗
Function generation subprograms for use in digital simulations
Function generation subprograms were developed for handling functions of one variable and two types of functions of two variables. These subprograms can be used in any digital or hybrid simulation requiring function generation. Use of these programs can often lower overall program execution time.
Hart, C. E.↗
Learning the generating functional for variance reduction in lattice QCD
The generating functional in quantum field theory provides the natural framework for constructing correlation functions as derivatives with respect to source operators. We present a methodology that leverages machine-learned normalizing flows to reduce the variance of arbitrary $N$-point correlation functions of bosonic operators in lattice gauge field theory calculations by encoding a representation of the generating functional. We show that it is possible to systematically approach noiseless estimators of correlation functions in this framework. We demonstrate this methodology with applications to calculations of glueball correlation functions and Wilson loops in Quantum Chromodynamics and Yang-Mills theory. The results show up to three orders of magnitude variance reduction.
Abbott, Ryan [Columbia U.] (ORCID:0000000258778005↗
Circuit operates as sine function generator
Electronic circuit drives sine function generator using square wave and sawtooth sweep generators. The circuit replaces electromechanical driver and increases accuracy.
Bogart, T., Jr.↗
Logarithmic-function generator
Solid-state logarithmic-function generator is compact and provides improved accuracy. Generator includes a stable multivibrator feeding into RC circuit. Resulting exponentially decaying voltage is compared with input signal. Generator output is proportional to time required for exponential voltage to decay from preset reference level to level of input signal.
Caron, P. R.↗
Further Development of a Function Generator Technique
Further features and properties of functions generated by generalization of the process originally uncovered to describe the evolution of pressure in a rigid volume due to outgassing or desorption are explored. Properties presented include development of a general Maclaurin series associated with these functions, a limitation in using integration by parts to produce asymptotic expansions, and a general description of an implicit Adams-Moulton method for numerical quadrature of transformed functions. These developments are then applied to develop and explore functions that solve the Sievert integral and the modified Bessel function of the first kind, order zero. Features of the error function and the incomplete lower gamma function are also considered.
Michael S. Woronowicz↗
Optical Spatial integration methods for ambiguity function generation
A coherent optical spatial integration approach to ambiguity function generation is described. It uses one dimensional acousto-optic Bragg cells as input tranducers in conjunction with a space variant linear phase shifter, a passive optical element, to generate the two dimensional ambiguity function in one exposure. Results of a real time implementation of this system are shown.
Tamura, P. N.↗
Function Generator for Image Processor
Basic elements of function generator are memory chips and interpolator chip, which incorporates multipliers and adders. Memory includes CMOS static random-access devices. 120 ns cycle time of devices allows real-time processing of image data.
Gennery, D. B.↗
A hardware-oriented algorithm for floating-point function generation
An algorithm is presented for performing accurate, high-speed, floating-point function generation for univariate functions defined at arbitrary breakpoints. Rapid identification of the breakpoint interval, which includes the input argument, is shown to be the key operation in the algorithm. A hardware implementation which makes extensive use of read/write memories is used to illustrate the algorithm.
O'Grady, E. Pearse↗
Table-lookup/interpolation function generation for fixed-point digital computations.
Table lookup/interpolation function generation for fixed point digital computations, illustrating sine-cosine generator
Aus, H. M.↗
Approximate calculation of cumulative probability from a moment-generating function.
Cumulative probability distribution of positive random variable from moment generating function, exemplifying exponential and Poisson functions
Helstrom, C. W.↗
Walsh function generator for the Electronically Scanned Thinned Array Radiometer (ESTAR) instrument
A prototype Walsh Function Generator (WFG) for the ESTAR (Electronically Scanned Thinned Array Radiometer) instrument has been designed and tested. Implemented in a single Xilinx XC3020PC68-50 Field Programmable Gate Array (FPGA), it generates a user-programmable set of 32 consecutive Walsh Functions for noise cancellation in the analog circuitry of the Front-End Modules (FEM's). It is implemented in a 68-pin plastic leaded chip carrier (PLCC) package, is fully testable, and can be used for noise cancellation periods as small as 2 msec.
Chren, William A., Jr.↗
Function generator prototype circuits Final report
Multichip hybrid fabrication techniques for prototype function generator circuits
Borst, G.↗
On Wiener-Masani's algorithm for finding the generating function of multivariate stochastic processes
It is shown that the algorithms for determining the generating function and prediction error matrix of multivariate stationary stochastic processes developed by Wiener and Masani (1957), and later by Masani (1960) will work in some more general setting.
Miamee, A. G.↗
On the Wiener-Masani algorithm for finding the generating function of multivariate stochastic processes
The algorithms developed by Wiener and Masani (1957 and 1958) and Masani (1960) for the characterization of a class of multivariate stationary stochastic processes are investigated analytically. The algorithms permit the determination of (1) the generating function, (2) the prediction-error matrix, and (3) an autoregressive representation of the linear least-squares predictor. A number of theorems and lemmas are proved, and it is shown that the range of validity of the algorithms can be extended significantly beyond that given by Wiener and Masani.
Miamee, A. G.↗