Accession Number:

ADA080406

Title:

Recovery of Bandlimited Signals Using Poisson Samples.

Descriptive Note:

Final rept. for FY 79,

Corporate Author:

NAVAL OCEAN SYSTEMS CENTER SAN DIEGO CA

Personal Author(s):

Report Date:

1979-10-01

Pagination or Media Count:

13.0

Abstract:

The problem of interpolation of bandlimited deterministic signals using Lagrange polynomials which are based upon observations taken at Poisson instants is considered. Let the signal be bandlimited to the interval -3.14, 3.14 radians, and let the average sampling rate of the Poisson process be beta samples per second. When the Lagrange interpolation polynomials are based upon the Poisson sampling instants TK and the observed data S TK, then the mean-squared error converges to zero as the number of observations increases to infinity for all sampling rates beta equal to or greater than 33.142. The rate of convergence is exponential for beta greater than 33.142. The above results hold for center point interpolation i.e., an equal number of samples on each side of the interpolation point. For the case of extrapolation, the sampling rate must be increased to 33.14. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE