Wireless RF Energy Transfer in the Massive IoT Era. Hirley Alves

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СКАЧАТЬ indicator function. It is equal to 1(0) if A is true(false) [x]⁺ max(x,0) [x]^× min(x]+, ref), where ref refers to certain reference level according to the application scenario, e.g., Bmax ~ distributed as set of natural numbers real coordinate space of dimension is omitted when equals to 1 set ofpositive real numbers complex coordinate space ofdimension d. d is omitted when equals to 1 denotes cardinality or absolute value operation in case of a set or a scalar as input, respectively lp norm. The value ofp may or may not be specified when p = 2 expected value with respect to random variable X. When X is not specified, the expected value is with respect to all random variables probability of occurrence of event A Laplace transform of random variable X inverse Laplace transform operator fX(x) PDF of random variable X FX(x) CDF of random variable X CCDF of random variable X gamma function upper incomplete gamma function Kv(·) modified Bessel function of the second kind and order v erf(·) error function Tr(·) matrix trace operator big-O notation diag(x) diagonal matrix with the main diagonal from entries of x (·)T transpose operator (·)H Hermitian transpose operator rank(·) rank operator generalized greater-than-or-equal-to inequality: between vectors, it represents component-wise inequality; between symmetric matrices, it represents matrix inequality inf · infimum operator imaginary unit, i.e., variance with respect to random variable X. When X is not specified, the variance is with respect to all random variables Jn(·) Besselfunction of first kind and order n det(·) determinant operation mod(a, b) a modulo b operation atan2(c) returns the angle in the Euclidean plane between the positive x axis and the ray to the point c derivative ofsingle-variable function f partial derivative ofmulti-variable function f with respect to x Hessian offunction f Q(·) Q-function, the tail distribution function of the standard normal distribution

       Distributions

Exp(x)	exponential random variable with mean x
N(m, R)	Gaussian real random vector with mean vector m and covari-ance matrix R
CN(m, R)	СКАЧАТЬ В начало < 2 3 4 5 6 7 8 9 10 11 > В конец