Reciprocal Perfect and Asymptotically Perfect Periodic Radar Waveforms and Their Aperiodic Properties

Abstract

Digitally coded radar waveforms can be employed to obtain large time- bandwidth products (pulse compression ratios). A perfect periodic code is defined to be a periodic code whose autocorrelation function has zero sidelobes and whose amplitude is uniform (maximum power efficiency = 1). An asymptotically perfect periodic code has the property that as the number of elements in the code goes to infinity the code's autocorrelation function has zero sidelobes and its power efficiency is one. In this report, we introduce a new class of radar wave forms that are either perfect of asymptotically perfect codes. We call these reciprocal codes because they can be derived through a linear transformation of the known codes. We also examine the reciprocal code's aperiodic performance. This is motivated by the tendency of good periodic codes to yield good aperiodic codes, and hence high pulse compression ratios with low sidelobe responses are attainable.

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Document Details

Document Type
Technical Report
Publication Date
May 24, 1989
Accession Number
ADA208938

Entities

People

  • Frank F. Kretschmer Jr.
  • Karl R. Gerlach

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Ambiguity
  • Amplitude
  • Classification
  • Compression
  • Compression Ratio
  • Eigenvalues
  • Frequency
  • Generators
  • Military Research
  • Number Theory
  • Numbers
  • Prime Numbers
  • Pulse Compression
  • Radar
  • Security
  • Shift Registers
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Phased Array Antenna Design.