Adam Rudziński

9 Questions 12 Answers 0 Followers

Questions related from Adam Rudziński

Anyone familiar with random variable characteristic series?

Suppose f(x) is a probability distribution of a random variable X, where x is real. We may calculate the Fourier transform of f(x) and this way obtain the so-called characteristic function of...

10 October 2015 9,668 6 View

Can anyone help with variance for combined probabilities?

Suppose that we are given two probability density functions. f(x) with mean 0 and variance sf2 g(x) with mean 0 and variance sg2 Let h(x) = N sqrt( f(x) g(x) ), where N is the normalization...

03 March 2014 4,213 7 View

Is there a description of a "Formula stable" probability distribution?

According to E. Lukacs, "Characteristic functions", 2nd ed., we say that F(x) is a stable probability distribution if for all b1,b2>0 and all real c1,c2 we can find b>0 and real c such that: F(...

12 December 2013 2,109 16 View

Invalid assumption of RVs independence and still good results?

In this paper: http://dx.doi.org/10.1007/s00034-013-9622-3, right before expression (24) I have adopted an evidently false assumption about independence of random variables x_0 and w(iT); but the...

11 November 2013 9,072 0 View

Is there known any generalization of characteristic function?

Characteristic function of a random variable X is defined as E[exp(itx)]. It has been studied a lot and a number of its useful properties are known. Is there known any "generalization" of...

11 November 2013 9,615 6 View

Is there a model related to settling of DAC's output to generated OFDM signal?

Let me know if such model is described somewhere. I am looking for a mathematical (analytic) model describing how a signal with orthogonal frequency-division multiplexing generated by a DAC is...

11 November 2013 6,575 3 View

Do you know any statistical models for OFDM alternative to Gaussian?

Typically, the probability of OFDM signal having a particular value is assumed to be given by normal distribution (i.e. Gaussian). Do you know any alternative models?

11 November 2013 7,229 4 View

Are there any benefits from output settling in DACs?

Is there known any case in which non-instant output settling of a digital-to-analog converter is preferable? Ideally, the output of DAC is a step function, with immediate transitions. Perhaps if...

11 November 2013 9,524 4 View

How to find a random variable for given probability distribution defined in terms of distributions of other random variables?

Suppose that X1, X2 are random variables with given probability distributions fx1(x), fx2(x). Let fy(x) = fy( fx1(x) , fx2(x) ) be a known probability distribution of "unknown" random variable Y....

10 October 2013 7,986 4 View