{
  "id": "1403.4769",
  "version": "v1",
  "published": "2014-03-19T11:29:55.000Z",
  "updated": "2014-03-19T11:29:55.000Z",
  "title": "Phase Retrieval from 4N-4 Measurements",
  "authors": [
    "Friedrich Philipp"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove by means of elementary methods that phase retrieval of complex polynomials p of degree less than N is possible with 4N-4 phaseless Fourier measurements of p and p'. In addition, we provide an associated algorithm and prove that it recovers p up to global phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-19T11:29:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase retrieval",
      "phaseless fourier measurements",
      "elementary methods",
      "global phase",
      "complex polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.4769P"
    }
  }
}