Title :
Distribution of the sum of two sine waves and Gaussian noise
Author :
Helstrom, Carl W.
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
fDate :
1/1/1992 12:00:00 AM
Abstract :
The cumulative distribution of the envelope of the sum of two sine waves and narrowband Gaussian noise, the difference of the phases of the sine waves being uniformly distributed over (0, 2π), is expressed as an integral that is evaluated by numerical quadrature. Approximation for the distribution valid in the limit of large signal-to-noise ratio are derived. The probability density function of the envelope is similarly treated
Keywords :
information theory; probability; random noise; cumulative distribution; envelope; narrowband Gaussian noise; numerical quadrature; probability density function; signal-to-noise ratio; sum of two sine waves; Density functional theory; Distributed computing; Error probability; Gaussian noise; Interference; Narrowband; Phase noise; Polynomials; Probability density function; Signal to noise ratio;
Journal_Title :
Information Theory, IEEE Transactions on
