Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms

Abstract

the domain in which the signal parameters can be estimated unambiguously. This can be used in applications to avoid aliasing. Moreover, it has been shown that the mean squared error of PPS parameter estimates can be significantly decreased when a nonuniform sampling scheme is used [1]. Hence, from an accuracy and ambiguity point of view, a properly chosen nonuniform sampling scheme is preferred before a uniform scheme when estimating PPS parameters.Abstract-We present a robust noniterative algorithm to design optimal minimum-phase digital FIR filters with real or complex coefficients. We derive: 1) the discrete Hilbert transform (DHT) of the complex cepstrum of a causal complex minimum-phase sequence and 2) the minimum fast Fourier transform length for computing the DHT to achieve a desired coefficient accuracy.Abstract-Spectrally factorable Nyquist filters are used in data communications to avoid intersymbol interference. In this correspondence, an approach is developed for obtaining a Nyquist filter that is factorable having the smallest stopband energy for a given sidelobe level. The resulting constrained minimization problem is solved efficiently and reliably using the Goldfarb-Idnani algorithm. Some examples are presented comparing the present method with a previous approach from the literature. Index Terms-FIRNyquist filters, sidelobe level constraints. The authors are with the

A Rotational Approach to Localized SPAMM 1–1 Tagging

“…Thus, a 62nd order linear phase filter is designed, that is subsequently transformed into a 31st order minimum phase one (12). For the filter specifications, since the regions we want to preserve are symmetric around the central point (tagging line 17), we need a multiband filter with two passbands, one covering the lines 19-21 and the second covering the lines 25-26.…”

An Algebraic Approach to the Estimation of the Order of FIR Filters From Complete and Partial Magnitude and Phase Specifications

“…Recently, the subject of root moments has attracted considerable attention from various perspectives, encompassing applications that include polynomial root finding procedures as in [13]- [17], FIR filter design [18], and FIR filter phase adjustment procedures as in [9], [11], [12], [19]. The wider potential of the root moment perspective on various aspects of digital filter design remains, in the main, an open and fertile field for further research.…”

Application of a zero-latency whitening filter to compact binary coalescence gravitational-wave searches

“…The result will be an approximation of the original filter. We adopt the technique of Damera-Venkata et al [19] which derives a minimum-phase approximation of the desired filter by applying a discrete Hilbert transform to the logarithm of a given magnitude response. Using more samples for the given magnitude response, one can more accurately approximate the magnitude response of the computed minimum-phase filter.…”

“…In particular, we implement a zero-latency algorithm with a linear finiteimpulse-response (FIR) filter. We use the minimum-phase FIR filter approximation technique described by DameraVenkata et al in [19]. Other algorithms for whitening filter approximation are available, for example [20][21][22][23][24].…”