ANALYTIC EVALUATION OF THE FOURIER COEFFICIENTS OF A CLIPPED PERIODIC FUNCTION

Abstract

For periodic input u(t), a time representation c(t) for the clipper is obtained such that the output y(t) = c(t) u(t). The Fourier coefficients of y(t) are obtained in terms of the Fourier coefficients of both c(t) and u(t). For light clipping, the Fourier coefficients of y(t) equal the Fourier coefficients of u(t) plus a small correction factor of the order of the per cent of time the signal exceeds clipping limits. An exact expression for the correction factor is obtained which may require numerical solutions. Some algorithms for obtaining numerical solutions are discussed.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0615316

Entities

People

  • Marvin Blum

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Autonomy

DTIC Thesaurus Topics

  • Accuracy
  • Amplitude Modulation
  • Analog Computers
  • Bandwidth
  • Carrier Frequencies
  • Coefficients
  • Computational Science
  • Computations
  • Convergence
  • Equations
  • Fourier Series
  • Frequency
  • Hard Copy
  • Integrals
  • Intervals
  • Modulation
  • Periodic Functions

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Fluid Dynamics.
  • Radar Systems Engineering.