Multiplier-free realizations for FIR multirate converters based on mixed-radix number representation

Li, J.; Tantaratana, S.

doi:10.1109/78.564176

Cited by 33 publications

(1 citation statement)

References 13 publications

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“…This multiple-radix representation, sometimes useful in some analog circuits, does not seem to be efficient in the multiplication by constant problem in digital circuits. In [15], multiple-radix or mixed-radix representations have been used in the implementation of FIR multirate converters. A small area gain is reported using this kind of representation.…”

Section: Direct Recoding Methodsmentioning

confidence: 99%

Some Optimizations of Hardware Multiplication by Constant Matrices

Boullis

Tisserand

2005

IEEE Trans. Comput.

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Abstract-This paper presents some improvements on the optimization of hardware multiplication by constant matrices. We focus on the automatic generation of circuits that involve constant matrix multiplication, i.e., multiplication of a vector by a constant matrix. The proposed method, based on number recoding and dedicated common subexpression factorization algorithms, was implemented in a VHDL generator. Our algorithms and generator have been extended to the case of some digital filters based on multiplication by a constant matrix and delay operations. The obtained results on several applications have been implemented on FPGAs and compared to previous solutions. Up to 40 percent area and speed savings are achieved.

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Section: Direct Recoding Methodsmentioning

confidence: 99%

Some Optimizations of Hardware Multiplication by Constant Matrices

Boullis

Tisserand

2005

IEEE Trans. Comput.

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Analytical design of stable delta‐domain generalized predictive control

Suchomski

Kowalczuk

2002

Optim Control Appl Methods

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SUMMARYThis paper addresses certain fundamental issues related to the discrete-time design problem of the deltadomain generalized predictive control (d-GPC) for both minimum phase and non-minimum phase linear SISO plants including nominal stability and nominal performance of the closed-loop system. The approach being presented is completely analytical, and the nominal performance of the control system is directly achieved by a prototype design of the closed-loop system characteristics resulting in definite time-domain specifications. Two design methods are offered in which a model-based prediction paradigm is applied to achieve the future output and the future filtered output trajectory of the plant. Prediction of the first type is based on suitable emulations of the output d-derivatives and is used in the GPC controller design for minimum-phase models of the plant. Prediction of the second type utilizes emulation of derivatives of the output filtered by the numerator polynomial of the transfer function of the controlled part of the plant. It can be employed both for minimum phase and non-minimum phase plants. A numerical example is given that illustrates the d-GPC method for controller design.

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Gain‐scheduled H_∞ filtering of parameter‐varying systems

Zhou

Zhang

Zheng

2006

Intl J Robust & Nonlinear

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SUMMARYThis paper deals with the gain-scheduled H 1 filtering problem for a class of parameter-varying systems. A sufficient condition for the existence of a gain-scheduled filter, which guarantees the asymptotic stability with an H 1 noise attenuation level bound for the filtering error system, is given in terms of a finite number of linear matrix inequalities (LMIs). The filter is designed to be parameter-varying and have a nonlinear fractional transformation structure. A numerical example is presented to demonstrate the application of the proposed method.

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Multiplier-free realizations for FIR multirate converters based on mixed-radix number representation

Cited by 33 publications

References 13 publications

Some Optimizations of Hardware Multiplication by Constant Matrices

Some Optimizations of Hardware Multiplication by Constant Matrices

Analytical design of stable delta‐domain generalized predictive control

Gain‐scheduled H_∞ filtering of parameter‐varying systems

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Multiplier-free realizations for FIR multirate converters based on mixed-radix number representation

Cited by 33 publications

References 13 publications

Some Optimizations of Hardware Multiplication by Constant Matrices

Some Optimizations of Hardware Multiplication by Constant Matrices

Analytical design of stable delta‐domain generalized predictive control

Gain‐scheduled H∞ filtering of parameter‐varying systems

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Product

Resources

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Gain‐scheduled H_∞ filtering of parameter‐varying systems