ON THE OPTIMUM SYNTHESIS OF RANDOM SAMPLING MULTIPOLE FILTERS WITH STATIONARY INPUTS

Abstract

The synthesis of a multipole filter whose inputs are stationary stochastic processes and are randomly sampled is considered. Each input will consist of signal and noise. The sampling process of each input is described by probability density functions of various orders and is assumed to be statistically independent from those of the others and also from the input processes. The system under investigation is linear and time invariant. The power spectral densities of inputs before sampling are assumed to be rational functions in s. In case the spectral densities after sampling are not rational functions in s, they have to be approximated by this type of function. Since the signals usually have power concentrated in low frequencies, appropriate approximants for these non-rational functions will introduce negligible error in designing. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1961
Accession Number
AD0257318

Entities

People

  • H.c. Hsieh

Organizations

  • University of California, Los Angeles

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Probability
  • Probability Density Functions
  • Random Variables
  • Rational Functions
  • Sampling
  • Stationary
  • Stationary Processes
  • Statistical Sampling
  • Stochastic Processes

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering