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- W449058 abstract "This report will use, in order to measure the performance of a (mathematical) system, the L2 norm for systems. Fora BIBO-stable (Bounded Input Bounded Output) and Linear Continuous Time Invariant (LCTI) system usually atransfer function is defined. Using this transfer function it is possible to calculate the L2 norm of the system.In the process of sampling and reconstruction of a signal two systems are used: a sampler and a hold. Most of thetime these systems are not LCTI but only linear and h-shift invariant or equivalently Linear Discrete Time Invariant(LDTI). For this class of systems a way of calculating the L2 system norm is presented. This calculation is based onthe Frequency Power Response (FPR) of a system which is introduced in this report as well. This FPR is for an LDTIsystem what the frequency response, e.g. |G(iω)|2 is for an LCTI system.It has already been shown that the optimal combination of sampler and hold for a given sampling period h is alwaysLCTI. This means that the L2 norm of the system can be calculated in a classical way. This report shows how tocalculate the L2 norm of the optimal combination of sampler and hold. Also a graphical interpretation is given forthis optimal combination.Because of the FPR, the L2 norm can now be calculated not only for LCTI systems but for LDTI systems as well. Andit is shown how to determine the optimal hold for a given sampler and sampling period h. Additionally the L2 normof the system can be calculated and graphically represented: how good (or how bad) is a certain hold in combinationwith the given sampler." @default.
- W449058 created "2016-06-24" @default.
- W449058 creator A5035315130 @default.
- W449058 date "2011-01-01" @default.
- W449058 modified "2023-09-26" @default.
- W449058 title "Optimal signal reconstruction : quantification and graphical representation of optimal signal reconstructions" @default.
- W449058 hasPublicationYear "2011" @default.
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