Zobrazeno 1 - 10
of 60
pro vyhledávání: '"D. Slepian"'
Autor:
L. A. Shepp, D. Slepian
Publikováno v:
Journal of Applied Probability. 13:27-38
We find the first-passage probability that X(t) remains above a level a throughout a time interval of length T given X(0) = x 0 for the particular stationary Gaussian process X with mean zero and (sawtooth) covariance P(τ) = 1 – α | τ |, | τ |
Autor:
D. Slepian
Publikováno v:
Proceedings of the IEEE. 64:292-300
Autor:
D. Slepian, E. N. Gilbert
Publikováno v:
SIAM Journal on Mathematical Analysis. 8:290-319
We seek an nth degree polynomial $f_0^{(n)} (x)$ which maximizes the ratio \[R(f) = {{\int\limits_{I_a } {\left| {f(x)} \right|^2 } dx} / {\int\limits_{I_b } {\left| {f(x)} \right|^2 } dx}},\] where $I_a $ and $I_b $ are two intervals on the real lin
Autor:
B. McMillan, D. Slepian
Publikováno v:
Proceedings of the IRE. 50:1151-1157
Autor:
D. Slepian
Publikováno v:
Bell System Technical Journal. 51:629-653
This paper is concerned with the following mathematical problem. Let X denote a stationary time-discrete random process whose variables, …, X −1 , X 0 , X 1 , …, take values from the finite set of real numbers {x 1 , x 2 , …, x k }. Let X hav
Autor:
D. Slepian, T. T. Kadota
Publikováno v:
SIAM Journal on Applied Mathematics. 17:1102-1117
Autor:
D. Slepian
Publikováno v:
IEEE Transactions on Information Theory. 4:65-68
It is pointed out that a frequently used mathematical model of the detection problem yields detection with arbitrarily small probability of error in many cases of engineering interest. Some comments are made as to why the model is inadequate from an
Autor:
D. Slepian
Publikováno v:
Proceedings of the IEEE. 53:228-236
Autor:
D. Slepian
Publikováno v:
Il Nuovo Cimento. 13:373-388
Autor:
D. Slepian
Publikováno v:
Bell System Technical Journal. 37:163-184
The probability distribution of the power, y, of a sample of Gaussian noise of time duration T is considered. Some general theory is presented along with curves for the cumulative distribution and probability density of y for several different power