scholarly journals Residual spectrum of split classical groups; contribution from Borel subgroups

2001 ◽  
Vol 199 (2) ◽  
pp. 417-445 ◽  
Author(s):  
Henry H. Kim
Keyword(s):  
Classical Groups ◽  
Residual Spectrum

Residual Spectra of Split Classical Groups and their Inner Forms

2009 ◽  
Vol 61 (4) ◽  
pp. 779-806 ◽  
Author(s):  
Neven Grbac
Keyword(s):  
Number Field ◽  
Algebraic Number ◽  
Quaternion Algebra ◽  
Algebraic Groups ◽  
Algebraic Number Field ◽  
Classical Groups ◽  
Residual Spectrum

Abstract.This paper is concerned with the residual spectrum of the hermitian quaternionic classical groups G′n and H′n defined as algebraic groups for a quaternion algebra over an algebraic number field. Groups G′n and H′n are not quasi-split. They are inner forms of the split groups SO4n and Sp4n. Hence, the parts of the residual spectrum of G′n and H′n obtained in this paper are compared to the corresponding parts for the split groups SO4n and Sp4n.

Classical Groups, Derangements and Primes

2015 ◽  
Author(s):  
Timothy C. Burness ◽  
Michael Giudici
Keyword(s):  
Classical Groups

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

2009 ◽  
Author(s):  
John N. Bray ◽  
Derek F. Holt ◽  
Colva M. Roney-Dougal
Keyword(s):  
Maximal Subgroups ◽  
Classical Groups ◽  
Finite Classical Groups ◽  
Low Dimensional

Performance Improvement of Digital Hearing Aid Systems

2015 ◽  
Vol 1 ◽  
pp. 27
Author(s):  
Isiaka Ajewale Alimi
Keyword(s):  
Noise Reduction ◽  
Hearing Aids ◽  
Digital Signal Processor ◽  
Speech Intelligibility ◽  
Communication Systems ◽  
Hearing Aid ◽  
Spectral Subtraction ◽  
Residual Spectrum ◽  
Digital Hearing Aids ◽  
Digital Hearing Aid

Digital hearing aids addresses the issues of noise and speech intelligibility that is associated with the analogue types. One of the main functions of the digital signal processor (DSP) of digital hearing aid systems is noise reduction which can be achieved by speech enhancement algorithms which in turn improve system performance and flexibility. However, studies have shown that the quality of experience (QoE) with some of the current hearing aids is not up to expectation in a noisy environment due to interfering sound, background noise and reverberation. It is also suggested that noise reduction features of the DSP can be further improved accordingly. Recently, we proposed an adaptive spectral subtraction algorithm to enhance the performance of communication systems and address the issue of associated musical noise generated by the conventional spectral subtraction algorithm. The effectiveness of the algorithm has been confirmed by different objective and subjective evaluations. In this study, an adaptive spectral subtraction algorithm is implemented using the noise-estimation algorithm for highly non-stationary noisy environments instead of the voice activity detection (VAD) employed in our previous work due to its effectiveness. Also, signal to residual spectrum ratio (SR) is implemented in order to control the amplification distortion for speech intelligibility improvement. The results show that the proposed scheme gives comparatively better performance and can be easily employed in digital hearing aid system for improving speech quality and intelligibility.

The Classical Groups

2016 ◽  
Author(s):  
HERMANN WEYL
Keyword(s):  
Classical Groups

scholarly journals TOPOLOGICAL NOETHERIANITY FOR ALGEBRAIC REPRESENTATIONS OF INFINITE RANK CLASSICAL GROUPS

2021 ◽  
Author(s):  
R. H. EGGERMONT ◽  
A. SNOWDEN
Keyword(s):  
Classical Groups ◽  
Infinite Rank ◽  
Polynomial Representations ◽  
Algebraic Representations

AbstractDraisma recently proved that polynomial representations of GL∞ are topologically noetherian. We generalize this result to algebraic representations of infinite rank classical groups.

scholarly journals Power series coefficients for probabilities in finite classical groups

2006 ◽  
Vol 305 (2) ◽  
pp. 1212-1237
Author(s):  
John R. Britnell ◽  
Jason Fulman
Keyword(s):  
Power Series ◽  
Classical Groups ◽  
Finite Classical Groups

scholarly journals Minimal logarithmic signatures for one type of classical groups

2016 ◽  
Vol 28 (2) ◽  
pp. 177-192
Author(s):  
Haibo Hong ◽  
Licheng Wang ◽  
Haseeb Ahmad ◽  
Jun Shao ◽  
Yixian Yang
Keyword(s):  
Classical Groups ◽  
Logarithmic Signatures
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