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Sampling and Reconstruction - Ptolemy Project

Chapter 11 Sampling and ReconstructionDigital hardware, including computers, take actions in discrete steps. So they can deal with discrete-time signals, but they cannot directly handle the continuous-time signals that are prevalent in thephysical world . This chapter is about the interface between these two worlds, one continuous, theother discrete. A discrete-time signal is constructed bysamplinga continuous-time signal, and acontinuous-time signal isreconstructedbyinterpolatinga discrete-time SamplingA sampler for complex-valued signals is a systemSamplerT:[Reals Complex] [Integers Complex],( )whereTis thesampling interval(it has units of seconds/sample). The system is depicted Thesampling frequencyorsample rateisfs=1/T, in units of samples/second (orsometimes, Hertz), or s=2 /T, in units radians/second.

Sampling and Reconstruction Digital hardware, including computers, take actions in discrete steps. So they can deal with discrete-time signals, but they cannot directly handle the continuous-time signals that are prevalent in the physical world. This chapter is about the interface between these two worlds, one continuous, the other discrete.

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