Design of Unimodular Sequences using Generalized Receivers

Abstract

This paper reviews recent advances in designing unimodular sequences with good auto/cross correlation properties along with a new approach that emphasizes on independent receiver design. The general problem is to design single or multiple sequences with constant modulus in the timedomain such that their respective matched filter outputs ideally resemble delta functions and the cross-matched filter outputs are zeros. In this context CAN (cyclic-algorithm new) and WeCAN (Weighted CAN) have been proposed for designing such sequences with good auto-cross correlation properties. In this paper, the equivalence of the CAN algorithms and the classic Gerchberg-Saxton (GS) algorithm involving the sequential magnitude substitution operations in the time and frequency domain is demonstrated. The design of unimodular sequences is further generalized here by considering the receiver design to be more general than the respective matched input sequences. The receiver design is carried out by taking care of the desired output requirements and the freedom present at the input can be used to further minimize the output side-lobe level.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2010
Accession Number
ADA539196

Entities

People

  • Braham Himed
  • Ke Y. Li
  • Richeng Zheng
  • S. U. Pillai

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Coefficients
  • Convex Sets
  • Cross Correlation
  • Data Science
  • Delta Functions
  • Filters
  • Frequency
  • Frequency Domain
  • Information Operations
  • Information Science
  • Matched Filters
  • Military Research
  • Pulse Compression
  • Time Domain

Fields of Study

  • Engineering

Readers

  • Molecular Genetics
  • Phased Array Antenna Design.
  • Systems Analysis and Design