The conversion of digital signals from a given sampling rate to a second, arbitrary sampling rate, with both sampling rates derived from independent clock generators, is revisited. A general approach to arbitrary sampling rate conversion is presented from which two efficient realisations are deduced. The computational expenditure of both realisations is derived under the restriction of finite c...

This paper presents an approach to the wordlength allocation and optimization problem for linear digital signal processing systems implemented in Field-Programmable Gate Arrays. The proposed technique guarantees an optimum set of wordlengths for each internal variable, allowing the user to trade-off implementation area for error at system outputs. Optimality is guaranteed through modelling as a...

The generalized wordlength pattern (GWLP) introduced by Xu and Wu (2001) for an arbitrary fractional factorial design allows one to extend the use of the minimum aberration criterion to such designs. Ai and Zhang (2004) defined the J-characteristics of a design and showed that they uniquely determine the design. While both the GWLP and the J-characteristics require indexing the levels of each f...

An algorithm for reducing the hardware complexity of linear phase finite impulse response digital filters that minimise the adder depth in the multiplier block adders (MBAs) is presented. The algorithm starts by aggressively reducing both the coefficient wordlength and the number of non-zero bits in the filter coefficients. This reduces the number of adders (the adder depth) that are needed to ...

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...

The FFT processor serves as one of core components in numerous DSP-based systems, such as OFDM in modern wireless communication. While creating an FFT processor, key parameters, such as architecture, wordlength, and number format, must be all considered very carefully. In this paper, we propose an optimization flow that properly scales fixed-point numeric values at each butterfly stage to maxim...

This paper presents a new and efficient data compression algorithm, namely, the adaptive character wordlength (ACW) algorithm, which can be used as complementary algorithm to statistical compression techniques. In such techniques, the characters in the source file are converted to a binary code, where the most common characters in the file have the shortest binary codes, and the least common ha...

A discrete-time system under finite wordlength implementation may demonstrate instability in its behavior. This instability is enhanced further in the presence of delays and parameter uncertainties. This paper, therefore, considers the problem of global asymptotic stability of a class of discrete-time systems in the presence of finite wordlength nonlinearities (combination of quantization and o...