Alternative dual frames for digital-to-analog conversion in sigma–delta quantization

No abstract is available for this paper.

• Publication year

  2010

• Venue

  Advances in Computational Mathematics

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Computer Science, Engineering

• Identifiers
  DOI 10.1007/s10444-008-9088-1
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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• Introduction to Finite Frame Theory

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