Optimal State Space Descriptions
This chapter describes the next step towards the implementation of wavelet filters. Departing from the transfer functions defined in Chapter 4, we derive a state space description of the wavelet filter. Since state space descriptions are not unique representations of a dynamical system, they allow the designer to find an implementation that fits best to the requirements imposed, e.g. coefficients that are readily implemented, a prescribed circuit topology, or maximum dynamic range. The description is transformed into the desired form by state space transforms or similarity transforms. In the context of low-power, low-voltage analogue integrated circuits, the most important requirements are dynamic range, sensitivity, and sparsity, all of which are treated in Chapter 5.
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- B. P. Lathi, Linear Systems and Signals, Oxford University Press, New York, 2002. Google Scholar
- P. M. DeRusso, R. J. Roy, C. M. Close and A. A. Desrochers, State Variables for Engineers, 2nd edn, Wiley, New York, 1998. Google Scholar
- J. D. Aplevich, The Essentials of Linear State-Space Systems, Wiley, New York, 2000. Google Scholar
- D. P. W. M. Rocha, Optimal design of analogue low-power systems, A strongly directional hearing-aid adapter, PhD thesis, Delft University of Technology, April 2003. Google Scholar