Scaling and Roundoff Noise in Multistage Interpolators and Decimators

Further Considerations in the Design of Decimators and Interpolators

In this paper several issues concerning the design and implementation of multistage decimators, interpolators, and narrow-band filters are discussed. In particular, the question of designing these systems in terms of minimum storage rather than minimum computation rate is examined. It is shown that a design which uses finite impulse response (FIR) filters for each stage, and which is minimized ...

Optimum FIR Digital Filter Implementations for Decimation, Interpolation, and Narrow-Band Filtering

In this paper a general theory of multistage decimators and interpolators for sampling rate reduction and sampling rate increase is presented. A set of curves and the necessary relations for optimally 4esigning multistage decmators is also given. It is shown that the processes of declination and interpolation are duals and therefore the same set of design curves applies to both problems. Furthe...

Recent developments in the design and implementation of digital decimators, interpolators, and narrow band filters

A Systematic Algorithm for the Synthesis of Multiplierless Lattice Wave Digital Filters

Among the best structures for implementing recursive digital filters are lattice wave digital (LWD) filters (parallel connections of all-pass filters). They are characterized by many attractive properties, such as a reasonably low coefficient sensitivity, a low roundoff noise level, and the absence of parasitic oscillations. This book chapter describes an efficient algorithm for the design of m...

Jointly optimized error feedback and realization for roundoff noise minimization in two-dimensional state-space digital filters

The minimization of roundoff noise subject to l2-norm dynamic-range scaling constraints in two-dimensional (2-D) state-space digital filters is considered by using joint error feedback and coordinate transformation optimization. An iterative approach for minimizing the roundoff noise under l2-norm dynamic-range scaling constraints is developed by jointly optimizing a scalar error-feedback matri...