Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters

A new method of designing linear-phase FIR filters is proposed by minimizing a quadratic measure of the error in the passband and stopband. The method is based on the computation of an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The proposed design procedure is general enough to incorporate both time- and frequency-domain constraints. For example, Nyquist filters can be easily designed using this approach. The design time for the new method is comparable to that of Remez exchange techniques. The passband and stopband errors in the frequency domain can be made equiripple by an iterative process, which involves feeding back the approximation error at each iteration. Several numerical design examples and comparisons to existing methods are presented, which demonstrate the usefulness of the present approach

A Simple Proof of the Alternation Theorem

A simple proof of the alternation theorem for minimax FIR filter design is presented in this paper. It requires no background on mathematical optimization theory, and is based on easily understood properties of filters with equiripple behavior. The method is similar to the classical counting argument used in early mathematics literature. The contribution here is a simplified presentation which directly uses filter design language

Maximally decimated perfect-reconstruction FIR filter banks with pairwise mirror-image analysis (and synthesis) frequency responses

Structures are presented for the perfect-reconstruction quadrature mirror filter bank that are based on lossless building blocks. These structures ensure that the frequency responses of the analysis (and synthesis) filters have pairwise symmetry with respect to π/2 and require fewer parameters than recently reported structures (also based on lossless building blocks). The design time for the proposed structures is correspondingly much less than for the earlier methods, which did not incorporate such symmetry

Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters

Two perfect-reconstruction structures for the two-channel quadrature mirror filter (QMF) bank, free of aliasing and distortions of any kind, in which the analysis filters have linear phase, are described. The structure in the first case is related to the linear prediction lattice structure. For the second case, new structures are developed by propagating the perfect-reconstruction and linear-phase properties. Design examples, based on optimization of the parameters in the lattice structures, are presented for both cases

A 'trick' for the design of FIR half-band filters

Based on a well-known property of FIR half-band filters, this correspondence shows how the design time for equiripple half-band filters can be reduced by a considerable amount. The observation which leads up to this improved procedure also places in evidence new implementation schemes, which simultaneously ensure low passband and stopband sensitivities. Extension of the method to Mth-band filter design is also outlined

On the eigenfilter design method and its applications: a tutorial

The eigenfilter method for digital filter design involves the computation of filter coefficients as the eigenvector of an appropriate Hermitian matrix. Because of its low complexity as compared to other methods as well as its ability to incorporate various time and frequency-domain constraints easily, the eigenfilter method has been found to be very useful. In this paper, we present a review of the eigenfilter design method for a wide variety of filters, including linear-phase finite impulse response (FIR) filters, nonlinear-phase FIR filters, all-pass infinite impulse response (IIR) filters, arbitrary response IIR filters, and multidimensional filters. Also, we focus on applications of the eigenfilter method in multistage filter design, spectral/spacial beamforming, and in the design of channel-shortening equalizers for communications applications

Choice of remuneration regime in fisheries: the case of Hawaii’s longline fisheries

One of the most prominent features of remuneration in the Hawaii’s longline fisheries industry has been the norm of share contract regimes. This paper investigates whether the use of share contract regime is positively correlated to increased economic returns. The principal-agent framework is applied to develop a theoretical model for the remuneration choice. Empirical estimation is conducted using a switching regression model that accounts for certain vessel characteristics effects on revenue, depending on remuneration regime used (i.e., share contract or flat wage), as well as the potential selection bias in the vessels’ contractual choice. Key findings from counterfactual simulations indicate: (1) a negative selection into choosing share contracts, and (2) that flat wage vessels would experience significantly higher revenues if they switch to share contracts. Thus, even though the labor market in Hawaii’s longline fisheries relies upon foreign crew members, the results suggest that it would benefit owners of flat wage vessels to apply share contracts to increase their revenues

Do fishermen have different attitudes toward risk? An application of prospect theory to the study of Vietnamese fishermen

Field experiment and household survey data are combined to investigate whether working in a risky occupation such as fishing makes fishermen have different risk preferences than individuals in other occupations. Prospect theory is utilized as the main analytical framework and a structural model approach is developed to simultaneously correlate the parameters of the utility function under prospect theory with other socioeconomic variables. The key finding is that working in fishing makes economic agents less risk averse than others. Fishermen also tend to be less sensitive to probability weighting changes in the experiment. It is possible that fishermen have adapted to their unique environment by using specific heuristics for decision making under conditions of uncertainty

Revenue targeting in fisheries

We apply the target revenue model, a version of prospect theory, to investigate how fishermen adjust their trip length to changes in daily revenue. The key finding is that certain groups of fishermen seem more likely to behave according to the target revenue model rather than to the standard model of labor supply. We also find that vessel capacity has little effect on whether the captains seek target revenue. The study strongly supports the integration of prospect theory into the framework of labor supply analysis