Mr. Rubenking's 'Brekdown' Tranter, John E
Postmodern culture,
09/1992, Letnik:
3, Številka:
1
Journal Article
Recenzirano
The model of art versus disorder was renovated early in the Industrial Revolution in the service of a Romantic idea: the construction of a role for the author as a unique creative presence rescuing ...spiritual value from chaos--the aristocracy were dead, God had fled, and Nature was covered with factories--and whose job it was to certify the value of a literary work on behalf of its consumers, the bourgeoisie. "Brekdown" is a text analysis and text generation program written in Turbo Pascal for IBM-compatible personal computers, devised in 1985 by the San Francisco programmer Neil J. Rubenking. 10.
This paper considers the Unit-modulus Least Squares (ULS) problem, which is commonly seen in signal processing applications, e.g., phase-only beamforming, phase retrieval and radar code design. ULS ...formulations are easily reformulated as Unit-modulus Quadratic Programs (UQPs), to which Semi-Definite Relaxation (SDR) can be applied, and is often the state-of-the-art approach. SDR has the drawback of squaring the number of variables, which lifts the problem to much higher dimension and renders SDR ill-suited for large-scale ULS/UQP. In this work, we propose first-order algorithms that meet or exceed SDR performance in terms of (approximately) solving ULS problems, and also exhibit much more favorable runtime performance relative to SDR. We specialize to phase-only beamformer design, which entails additional degrees of freedom that we point out and exploit in two custom algorithms that build upon the general first-order algorithm for ULS/UQP. Simulations are used to showcase the effectiveness of the proposed algorithms.
