Roundoff-noise shaping in filter design
نویسندگان
چکیده
This paper presents a technique for the spectral shaping of roundoff noise in fixed-point implementations of digital filters. An automated feasibility test is introduced, in order to decide whether a given filter realisation meets user-specified constraints on the roundoff noise power spectrum. This feasibility test is used by an algorithm for optimization of individual signal widths within a filter structure. Some results are presented, illustrating how the optimization produces filters closely meeting the specification, leading to significant improvements in implementation area.
منابع مشابه
Design Strategies for Constant-Input Limit Cycle-Free Second-Order Digital Fil- ters
A known low complexity low roundoff noise limit cyclefree second-order state-space digital filter is here revisited. New design strategies to synthesize that filter are discussed, and the results of applying those strategies to some examples are shown. These results support the statement that it is possible to produce a better synthesis to that structure, in the sense of output roundoff noise r...
متن کاملRoundoff Noise Minimization in a Modified Direct-Form Delta Operator IIR Structure
Among various direct-form delta operator realized filter structures, the delta transposed direct-form II ( DFIIt) has been shown to produce the lowest roundoff noise gain in finite wordlength implementations. Recent analyses focus on the optimization of the free parameter of the delta operator, with scaling of the structure to prevent arithmetic overflow. This paper proposes a modified DFIIt se...
متن کاملA New Low Roundoff Noise Second Order Digital Filter Section Which Is Free of Constant-Input Limit Cycles
Some second-order digital filter sections which are free of zero-input and constant-input limit cycles have been proposed. In their synthesis, a free parameter is used to equalize the Lp norms of the transfer functions from the network input to the state variables, thus guaranteeing low output roundoff noise. In this paper, one of those structures is revisited: it is studied how the output roun...
متن کاملSynthesis of 2-D State-Space Fixed-Point Digital-Filter Structures with Minimum Roundoff Noise
Ahsrrucr -Based on a roundoff-noise analysis, a general synthesis procedure is developed which leads to an optimal local state-space 2-D digital-filter realization that minimizes the output-noise power due to roundoff subject to a scaling condition on the state variables. The outputnoise power and the signal scaling condition are closely related to two positive-definite matrices W and K. These ...
متن کاملRoundoff Noise Di ita 1 lmplementati ontrol Compensa
Abstmct-Researchers in digital signal processing have examined at length the effects of finite wordlength in the design of digital filters. The issues that have been considered apply to any digital system. In particular, the design of digital control systems must consider these issues. In this paper we will use, adapt, and extend the ideas developed in digital signal processing to the issue of ...
متن کامل