The compensation of LTI systems and the evaluation of the according uncertainty is of growing interest in metrology. Uncertainty evaluation in metrology ought to follow specific guidelines, and recently two corresponding uncertainty evaluation schemes have been proposed for FIR and IIR filtering. We employ these schemes to compare an FIR and an IIR approach for compensating a second-order LTI s...

A new class of two-channel IIR/FIR filter banks was introduced in [1] with half-band IIR analysis filters and FIR synthesis filters. This type of filter bank features very lowcomplexity analysis filters and simultaneously a low overall complexity. In this paper, we consider finite-wordlength effects of these filter banks.

We propose a new way of performing stable and more efficient F − X wavefield extrapolation for the application of seismic imaging and datuming via Infinite Impulse Response (IIR) F − X filters. To prove the concept, we used model reduction techniques to design the complex-valued IIR F −X extrapolation filters. Simulation results indicate that we can obtain stable designs using the proposed filt...

The study of joint transmit-receive design over multi-input multioutput (MIMO) channels representing a wireless channel with spatial diversity at both ends is nowadays receiving a signi cant attention. The theoretical closed-form solutions obtained so far are given in the continuous-frequency domain corresponding in general to IIR lters. When those lters are to be implemented in a discrete-time...

This study performs analytical investigation of how accurately three existing phase shift models describe the phase shift impulse response of a simple planar oscillator. The investigation finds that Kaertner’s model perfectly describes the behavior of the phase shift impulse response, whereas the projection-based ISF, and the perturbation projection-based model oversimplify it to its initial, a...

The Impulse Response The sequence {ψj} of the filter’s coefficients constitutes its response, on the output side, to an input in the form of a unit impulse. If the sequence is finite, then ψ(z) is described as a moving-average filter or as a finite impulse-response (FIR) filter. When the filter produces an impulse response of an indefinite duration, it is called an infinite impulse-response (II...

Sharp FIR filters have very high implementation complexities. This is even more so for sharp 2-D FIR filters. In this paper, we introduce a new efficient approach for the synthesis of sharp diamond-shaped 2-D FIR filters using the frequency response masking technique. The design procedure as well as the parameters for the minimum complexity design are presented. A design example is also include...

In this paper the approximation of a complex-valued speci cation by the frequency response of a 2-D IIR separable-denominator (SD) digital lter is considered. The approximation problem is transformed into an equivalent one, where a real-valued 2-D IIR SD digital lter with some additional characteristics has to be determined that approximates a given real-valued 2-D FIR digital lter. A theorem i...

This paper presents fundamental limitations imposed on the frequency response of a filter by a non-negative impulse response (NNIR). Several upper-bounds on power spectral attenuation/gain in linearly spaced frequency regions are derived. These upper-bounds serve as a guide in the design of NNIR filters.