In many applications, it is desirable to design filters that affect the magnitude of the Fourier transform of the input in some way – for example, by attenuating certain frequency components, while affecting the phase as little as possible. Unfortunately, for causal systems, it is not possible to achieve zero phase. Instead, as a design goal, we can try to make the phase as close to linear as p...

Unitary similarity transformations furnish a simple yet powerful vehicle for generating new classes of joint distributions based on concepts diierent from time, frequency, and scale. These new signal representations focus on the critical characteristics of large classes of signals and, hence, prove useful for representing and processing signals that are not well matched by current techniques. I...

We present a generalized optimal minimum phase digital FIR lter design algorithm that supports (1) arbitrary magnitude response speci cations, (2) high coe cient accuracy, and (3) real and complex lters. The algorithm uses the Discrete Hilbert Transform relationship between the magnitude spectrum of a causal real sequence and its minimum phase delay phase spectrum given by Cizek. We extend the ...

Abstrucf-A new all-fiber interferometric method for chromatic dispersion measurements in meter-length single-mode fibers is presented. In a Michelson setup a reference fiber is used whose physical length is varied so as to obtain an adjustable optical delay. Time resolution, ease of manipulation, and mechanical isolation are considerably improved with respect to conventional interferometers. Re...

This paper introduces a novel approach to estimate onsets in musical signals based on the phase spectrum and specifically using the average of the group delay function. A frame-by-frame analysis of a music signal provides the evolution of group delay over time, referred to as phase slope function. Onsets are then detected simply by locating the positive zero-crossings of the phase slope functio...

We propose a systematic method for the synthesis of arbitrary group delay responses by using allpass structures of coupled optical cavities. Optimum structure parameters design, in terms of filter order and accuracy, are obtained. OCIS codes: 140.4780, 060.4510, 230.1150, 350.4600

Measurements of the phases of free jet waves relative to an acoustic excitation, and of the pattern and time phase of the sound pressure produced by the same jet impinging on an edge, provide a consistent model for Stage I frequencies of edge tones and of an organ pipe with identical geometry. Both systems are explained entirely in terms of volume displacement of air by the jet. During edge-ton...

In this paper we discuss the problem of signal reconstruction from spectral magnitude or phase using group delay functions. We define two separate group delay functions for a signal, one is derived from the magnitude and the other from the phase of the Fourier transform of the signal. The group delay functions offer insight into the problem of signal reconstruction and suggest methods for recon...