Optimal methods for designing multiplierless finite-impulse response (FIR) and infinite-impulse response (IIR) filters with cascaded prefilter-equalizer structures are proposed. Assuming that an FIR filter consists of a cyclotomic polynomial (CP) prefilter and an interpolated second order polynomial (ISOP) equalizer, in the proposed method, the prefilter and equalizer are simultaneously designe...

In this paper, the joint design of transmitter and receiver for multichannel data transmission over dispersive channels is considered. The design criterion is the minimization of the mean squared error (MSE) at the receiver output under the constraint of a fixed transmit power. The focus is on the practically important case where the transmitter employs finite impulse response (FIR) filters, an...

In this paper, we propose a novel approach for constructing the first-order differentiator. It has been shown recently that an efficient Finite Impulse Response (FIR) wideband differentiator can be synthesised when applying the multirate and Frequency-Response Masking (FRM) techniques. The overall signal processing task is shared between a very loworder differentiator and an FIR half-band filte...

Digital finite impulse response (FIR) filters play a very important role in digital signal processing (DSP) applications ranging from image and video processing to wireless communication. Digital FIR filter is primarily composed of multipliers, adders and delay elements. Several techniques have been reported in the open literature to implement digital FIR filters using Field Programmable Gate A...

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...

FIR (Finite impulse response) digital filters are known to have some very desirable properties such as linear phase, stability, and absence of limit cycle. However their applications generally require more computation. In this paper we consider the simple method to design a multiplier-less narrowband FIR filter. The method is based on well known IFIR (Interpolated FIR) structure. The novelty of...

In this paper, we propose to use a class of filters based on fractional lower order statistics (FLOS) for still image restoration in the presence of α-stable noise. For this purpose, we present a family of 2-D finite-impulse response (FIR) adaptive filters optimized by the least mean lp-norm (LMP) algorithm. Experiments performed on natural images prove that the proposed algorithms provide supe...

In this paper, we propose to use a class of filters based on fractional lower order statistics (FLOS) for still image restoration in the presence of α-stable noise. For this purpose, we present a family of 2-D finite-impulse response (FIR) adaptive filters optimized by the least mean lp-norm (LMP) algorithm. Experiments performed on natural images prove that the proposed algorithms provide supe...

Robustness is a fundamental issue in signal processing; unmodeled dynamics and unexpected noise in systems and signals are inevitable in designing systems and signals. Against such uncertainties, min-max optimization, or worst case optimization is a powerful tool. In this light, we propose an efficient design method of FIR (finite impulse response) digital filters for approximating and invertin...

one of the problems associated with adaptive fir filters in the identification of systems with long impulse responses, is their excessive computational complexity. recently a new kind of adaptive filters, based on three-level clipping of the input signal has been presented for reduction of their computational complexity. in this paper, a theoretical analysis of the steady-state misalignment of ...