A solution methodology for the design of digital infinite impulse response (IIR) filter considering multiple conflicting objectives has been proposed. The nucleus of the method is that multiple objectives can be attuned suitably, to optimize the performance in pass bands, stop bands and transition bands of IIR digital filters. The proposed method uses multiobjective optimization approach for de...

In this paper, the development of an improved Takagi Sugeno (TS) fuzzy model for identification and chaotic time series prediction of nonlinear dynamical systems is proposed. This model combines the advantages of fuzzy systems and Infinite Impulse Response (IIR) filters, which are autoregressive moving average models, to create internal dynamics with just the control input. The structure of Fuz...

G. Maclair, M. Ries, C. Moonen IMF CNRS / University of Bordeaux 2, Bordeaux, France Purpose/Introduction: The UNFOLD method can be used to accelerate dynamic MRI acquisitions [1] and to remove artifacts in parallel-imaging and partial-fourier imaging [2]. The essential basic reconstruction step of the UNFOLD method is a temporal low-pass filter. Recent filtering approaches can be coarsely clas...

Design problem of infinite impulse response (IIR) filters is generally a non-linear optimization problem due to the presence of denominator polynomial. Additionally, the stability condition (position of poles) must be considered when optimizing the filter coefficients. Hence, an iterative optimization is usually required to solve the design problem for stable IIR filter. In this paper, we prese...

This paper presents an evolutionary design of digital IIR filters using the genetic algorithm (GA) with modified genetic operators and real-valued encoding. Conventional digital IIR filter design methods involve algebraic transformations of the transfer function of an analog low-pass filter (LPF) that satisfies prescribed filter specifications. Other types of frequency-selective digital filters...

The FPGA (Field Programmable Gate Array) constitute of many programmable modules like Configuration Logic Blocks (CLBs), Block Random Access Memories (BRAM), DSP 48 blocks and Input/output (I/O) modules. The CLBs are the main programmable logic units which consist of different number of logic slices and each slice contains different number of LUTs and flips flops depending upon the FPGA device ...

The paper addresses tlie design of tlie polyphase IIR filters based on the “’-order single-coefficient allpass sub-filters in the constraint coefficient space using the Constraint Dowdiill Simplex Algorithm. Incorporating the bit-flipping algorithm into its core engine allowed the optitilisation routine to converge to better target designs without affecting tlie Iiigli speed of tlie original al...

Complementary infinite-impulse response (IIR) filter pairs can be synthesized to generate power-complementary, allpass complementary, or magnitude-complementary filter pairs (see, e.g., [1]). A very attractive alternative to generate a power-complementary low-pass/high-pass IIR filter pair is to use lattice wave digital (LWD) filters (parallel connections of two all-pass filters) [2]–[4]. Usual...

We propose an optimal design method for digital IIR filters with powers-of-two coefficients. This method is based upon the formulation of a linear optimization problem that minimizes filter’s complexity for given specifications. It is shown that by taking the logarithm to the transfer function of cascade-form IIR filters, the design problem becomes linear and can be solved by mixed integer line...