Digital Signal Processing Handbook P28

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Digital Signal Processing Handbook P28

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The focus of this chapter is on inverse problems — what they are, where they manifest themselves in the realm of digital signal processing (DSP), and how they might be “solved1 .” Inverse problems deal with estimating hidden causes, such as a set of transmitted symbols ftg, given observable effects such as a set of received symbols frg and a system (H) responsible for mapping ftg into frg. Inverse problems are succinctly stated using vector-space notation and take the form of

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