Constrained least squares design of 2-D FIR filters

Markus Lang, Ivan W. Selesnick

Research output: Contribution to journalArticlepeer-review


We consider the design of 2-D linear phase unite impulse response (FIR) filters according to the least squares (LS) error criterion subject to equality and/or inequality constraints. Since we use a frequency domain formulation, these constraints can be used to explicitly prescribe (frequency-dependent) error tolerances, the maximum, minimum, or fixed values of the frequency response at certain points and/or regions. Our method combines Lagrange multiplier and Kuhn-Tucker theory to solve a much wider class of problems than do standard methods. It allows arbitrary compromises between the LS and the equiripple design.

Original languageEnglish (US)
Pages (from-to)1234-1241
Number of pages8
JournalIEEE Transactions on Signal Processing
Issue number5
StatePublished - 1996

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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