Scale periodicity and its sampling theorem

Hari Sundaram, S. D. Joshi, R. K.P. Bhatt

Research output: Contribution to journalArticlepeer-review


The scale transform is a new representation for signals, offering perspective that is different from the Fourier transform. In this correspondence, we introduce the notion of a scale periodic function. These functions are then represented through the discrete scale series. We also define the notion of a strictly scale-limited signal. Analogous to the Shannon interpolation formula, we show that such signals can be exactly reconstructed from exponentially spaced samples of the signal in the time domain. As an interesting, practical application,: we show how properties unique to the scale transform make it very useful in computing depth maps of a scene.

Original languageEnglish (US)
Pages (from-to)1862-1865
Number of pages4
JournalIEEE Transactions on Signal Processing
Issue number7
StatePublished - 1997
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


Dive into the research topics of 'Scale periodicity and its sampling theorem'. Together they form a unique fingerprint.

Cite this