QUANTIZATION AND TWO’S COMPLEMENT ARITHMETIC IN DIGITAL FILTERS
Throughout Chapters 5 to 8 we assume that signals are implemented via an infinite state machine. However, in a real situation signals are implemented via a finite state machine. Hence, the nonlinearity function of the two’s complement arithmetic for a real situation is not smooth within the no overflow region. Instead, the nonlinear function is a periodic staircase function. In this chapter nonlinear behavior, due to both the quantization and two’s complement arithmetic, is presented.
NONLINEAR BEHAVIORAL DIFFERENCES OF FINITE AND INFINITE STATE MACHINES
System model
A block diagram for a second order digital filter associated with both quantization and two’s complement arithmetic ...
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