Journal Article10.1109/31.55041
Tridiagonal state-space digital-filter structures
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TL;DR: A synthesis, procedure for tridiagonal state-space structures is presented that yields structures with a reduced number of multipliers and eliminates zero-input and constant-input limit cycles.
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Abstract: A synthesis, procedure for tridiagonal state-space structures is presented that yields structures with a reduced number of multipliers and eliminates zero-input and constant-input limit cycles. The output roundoff noise is minimized by optimizing some free parameters. Some design examples are presented illustrating the synthesis procedure. >
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Citations
2-D Tridiagonal IIR Filters/Systems: State Space and Circuit Realizations
George Antoniou
- 27 May 2007
TL;DR: The proposed state space realizations are based on the corresponding circuit implementations and the 2D Roesser and Cyclic models are used for the state space realization.
3
References
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C. Mullis,R. Roberts +1 more
TL;DR: In this paper, an external specification of a digital filter is investigated via the internal structure of the filter using a state variable formulation, and conditions for minimizing this output noise are established and realizations which meet these conditions are constructed.
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A normalized digital filter structure
TL;DR: In this article, a normalized digital filter structure based upon an orthonormal polynomial expansion is presented, recursively designed, which has several predictable stability properties in the presence of time-varying parameters, and appears to have roundoff noise properties which are superior to other known filter structures.
244
Roundoff noise in digital filters: Frequency transformations and invariants
C. Mullis,R. Roberts +1 more
TL;DR: The family of filters generated from a prototype filter H(z) is shown to possess certain common properties which are coordinate-free quantities which are invariant under frequency transformation, which is significant in the design of low-noise fixed-point digital filter structures.
182
Optimal synthesis of second-order state-space structures for digital filters
TL;DR: In this paper, sufficient conditions are derived for a second-order statespace digital filter with L 2 scaling to be optimal with respect to output roundoff noise; and from these, a simple synthesis procedure is developed.
167
On the stability of the forced response of digital filters with overflow nonlinearities
TL;DR: In this article, the forced response of a general type of digital filter, implemented with overflow nonlinearities, is studied, and a definition of stability of this forced response is given.
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