Korkmaz, Sayit2016-02-082016-02-082005http://hdl.handle.net/11693/27332Date of Conference: 4-8 September 2005Conference Name: 13th European Signal Processing Conference, EUSIPCO 2005In this paper, we present an algebraic description of the aliasing phenomena evident in the linear sampling process of multidimensional periodic band limited signals. Opposed to the classical Shannon sampling, periodic band limited signals underlie a different aliasing structure providing further freedom in the sampling strategy due to the discreteness of the spectrum. An algebraic formulation of the optimal sampling problem is also presented.EnglishAlgebraic descriptionAliasingAliasing phenomenaBand-limited signalLinear samplingOptimal samplingPeriodic bandsSampling strategiesShannon samplingAlgebraOptimizationSignal processingSignal samplingPeriodic structuresConference Paper