‎‎The equivalence relation isoclinism partitions the class of all pairs of groups‎ ‎into families‎. ‎In this paper‎, ‎a complete classification of the set of all pairs $(G,G')$ is established‏‎,‎ whenever‎ $G$ is a $p$-group of order at most $p^5‎‏$‎ and ‎$p$ is a prime number greater than 3. Moreover‎, ‎the classification of pairs $(H,H')$ for extra special $p$-groups $H$ is also given.

The Optimized Temporal Decomposition (OTD) technique for Line Spectral Frequencies (LSF) speech envelope representation, under a MMSE criterion, has been shown to be promising for very low bit rate speech coding for storage and broadcast applications. In order to improve perceptual speech quality, a dynamically weighted OTD (DW-OTD) technique is introduced in this work. It extends the OTD by al...

In this paper, we have developed a new general distance measure that not only can be used in a vector quantization (VQ) of the line spectrum frequency (LSF) parameters but perforines well in the LSF traiisfornied domain. The new distance is based on the spectral sensitivity of LSF and their transformed coefficients. In addition, the fix scaling factor is used to decrease the sensitivity of spec...

This paper describes a statistical spectral parameter emphasis technique for HMM-based speech synthesis using mel-scaled line spectral pair (mel-LSP). Spectral parameter emphasis is effective for compensating over-smoothed spectra in HMM-based speech synthesis. However, there is no conventional technique that satisfies such requirements as automatic tuning for different speakers and realtime sy...

A new algorithm for finding line spectral frequencies, LSF, is introduced, based on Laguerre method of root approximation. The method allows to assuredly find all roots one by one without recourse to polynomial deflation, which allows approximation to a high precision. Error bounds can be estimated by approximating from two sides with added margin. An improved variant of Laguerre recursion sche...