- convolution sum
- convolution sum Faltungssumme f
English-German dictionary of Electrical Engineering and Electronics. 2013.
English-German dictionary of Electrical Engineering and Electronics. 2013.
Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t … Wikipedia
Convolution of probability distributions — The convolution of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds to the addition of independent random variables and, by extension, to forming linear… … Wikipedia
Convolution power — In mathematics, the convolution power is the n fold iteration of the convolution with itself. Thus if x is a function on Euclidean space Rd and n is a natural number, then the convolution power is defined by where * denotes the convolution… … Wikipedia
Sum of normally distributed random variables — In probability theory, if X and Y are independent random variables that are normally distributed, then X + Y is also normally distributed; i.e. if :X sim N(mu, sigma^2),and :Y sim N( u, au^2),and X and Y are independent, then:Z = X + Y sim N(mu + … Wikipedia
Convolution sampling — In mathematics, convolution sampling is a technique used to generate observations from a distribution.A number of distributions can be expressed in terms of the (possibly weighted) sum of two or more random variables from other distributions (The … Wikipedia
Convolution random number generator — In statistics and computer software, a convolution random number generator is a pseudo random number sampling method that can be used to generate random variates from certain classes of probability distribution. The particular advantage of this… … Wikipedia
Dirichlet convolution — In mathematics, the Dirichlet convolution is a binary operation defined for arithmetic functions; it is important in number theory. It was developed by Johann Peter Gustav Lejeune Dirichlet, a German mathematician. Contents 1 Definition 2… … Wikipedia
Whittaker–Shannon interpolation formula — The Whittaker–Shannon interpolation formula or sinc interpolation is a method to reconstruct a continuous time bandlimited signal from a set of equally spaced samples. Contents 1 Definition 2 Validity condition 3 Interpolation as convolution sum … Wikipedia
Linear system — A linear system is a mathematical model of a system based on the use of a linear operator.Linear systems typically exhibit features and properties that are much simpler than the general, nonlinear case.As a mathematical abstraction or… … Wikipedia
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… … Wikipedia