Determination of wordlength is essential for designing digital circuits because the wordlength affects system performance, hardware size, and power consumption. Variable wordlength methods that a system dynamically and effectively changes the wordlength depending on surrounding environments have been studied for power reduction in wireless systems. The conventional variable wordlength methods i...

The application of a general-purpose integer-programming computer program to the design of optimal finite wordlength FIR digital filters is described. Examples of two optimal low-pass FIR finite wordlength filters are given andthe results are compared with the results obtained by rounding the infinite wordlength coefficients. An analysis of the approach based on the results of more than 50 desi...

This paper considers the construction of minimum aberration (MA) blocked factorial designs. Based on coding theory, the concept of minimum moment aberration due to Xu (2003) for unblocked designs is extended to blocked designs. The coding theory approach studies designs in a row-wise fashion and therefore links blocked designs with nonregular and supersaturated designs. A lower bound on blocked...

This paper addresses hardware design issues of a mobile receiver for future generation direct sequence CDMA wireless communication systems. In the design of a mobile unit, xed-point hardware is an attractive alternative because of increased speed, reduced power consumption, and reduced hardware costs. In this paper, we focus on the xed-point implementation of `blind' detection and channel estim...

Rounding of the so-called infinite precision coefficients to their nearest finite wordlength representation is often used for reasons of simplicity. This rounding, however, is typically far from optimal. A significantly better rounding method that uses a technique called telescoping is presented in this paper. Its practical effectiveness in the design of suboptimal finite wordlength filters is ...

It has been known for some time that it is not possible to meet arbitrarily severe FIR lter specications with xed b-bit wordlength by suciently increasing the lter length N. For any given non-trivial specication there is a nonzero lower bound on the approximation error, below which i t i s not possible to go, no matter how large the value of N. For practical purposes it is even more useful to k...

We show a link between two apparently unrelated areas, namely uniformity and minimum aberration, both of which have been of substantial recent interest. Speciically, with reference to regular fractions of two-level factorials, we derive an expression for the centered L 2-discrepancy measure for uniformity in terms of the wordlength pattern. This result indicates, in particular, an excellent beh...

Parallel multipliers can be optimized using the intrinsic arithmetic equivalencies in their reduction-tree. In this paper, we propose a method to reduce the dynamic power consumption in parallel multipliers, operating within systems with effective word-length variation. Wordlength variation induces a certain pattern of spatiotemporal correlations. The proposed method is capable to take such cor...

In this paper, the issue of balance pattern of the interaction columns of a symmetrical design is considered according to orthogonal components system. The minimum interaction unbalance criterion is proposed for ranking and comparing s-level factorial designs, where s is any a prime or a prime power. It is further showed that the interaction unbalance pattern is just the generalized wordlength ...

A specialized implicit state-space representation is introduced to deal with finite wordlength effects in controller implementations. This specialized implicit form provides a macroscopic description of the algorithm to be implemented. So, it constitutes a unifying framework, allowing to encompass various implementation forms, such as the δ-operator, the ρDirect Form II transposed, observer-bas...