{
  "id": "1307.7646",
  "version": "v1",
  "published": "2013-07-29T17:11:53.000Z",
  "updated": "2013-07-29T17:11:53.000Z",
  "title": "Generalized Walsh Bases and Applications",
  "authors": [
    "Dorin Dutkay",
    "Gabriel Picioroaga"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We investigate convergence properties of generalized Walsh series associated with signals $f\\in L^1[0,1]$. We also show how the dependence of the generalized Walsh bases on $N\\times N$ unitary matrices allows for applications in signal encoding and encryption, provided the signals are piece-wise constant on $N$-adic subintervals of $[0,1]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-29T17:11:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A38",
      "42C10",
      "42C40",
      "42-04"
    ],
    "keywords": [
      "generalized walsh bases",
      "applications",
      "adic subintervals",
      "unitary matrices",
      "convergence properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7646D"
    }
  }
}