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ROBUST MULTICHANNEL SAMPLING



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ROBUST MULTICHANNEL SAMPLING Ha T Nguyen Minh N Do Sony Electronics Inc Media Processing Technology Lab 1730 N First St San Jose CA 95112 Email thai ha nguyen m4x org University of Illinois at Urbana Champaign Dept of Electrical and Computer Engineering 1406 W Green St Urbana IL 61801 Email minhdo uiuc edu ABSTRACT A conventional wisdom is that a bandlimited signal can be sampled at twice its maximum frequency to prevent any loss of information For signals having high frequency components sampling them requires fast analog to digital converters ADC that are difficult to design without increasing their cost and noise In this paper we show that high resolution samples of any signal bandlimited or unbandlimited can be accurately approximated using multiple sequences of low resolution samples taken from the same analog signal probably with fractional delays using slow ADCs The approximation is enabled by designing a set of synthesis filters without any knowledge of the signals to be sampled to minimize an induced error system in the minimax sense The approximation performance is guaranteed to be robust even when using estimates of the system parameters such as antialiasing filters and fractional delays We present experiments to confirm the potential of our approach Index Terms Multichannel sampling hybrid filter bank sampled data control model matching filter design H optimization 1 INTRODUCTION A conventional wisdom is that bandlimited signals can be sampled at twice its maximum frequency to prevent any loss of information 11 There are two major drawbacks with this techniques Firstly the bandlimited assumption excludes a wide class of signals such as images Secondly designing analog to digital converters ADC for signals of large bandwidth is extremely challenging often resulting in expensive and inaccurate ADCs 6 14 This paper addresses the above problems by proposing a multichannel sampling approach that allows to approximate a highresolution digital signal as if



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