We introduce the concept of a locally finite abstract elementary class and develop the theory of excellence (with respect to disjoint ( , k)-amalgamation) for such classes. From this we find a family of complete L!1,! sentences r that a) homogeneously characterizes @r (improving results of Hjorth [12] and Laskowski-Shelah [14] and answering a question of [22]), while b) the r provide the first...

this paper is focused on implementation of acoustic echo cancellation using modified variable step size least mean square algorithm (MVSSLMS) in LabVIEW. Simulation experiments are done to measure its performance and compared with other conventional variable step size algorithms. Results show better performance of MVSSLMS over other algorithms in terms of echo return loss enhancement (ERLE), es...

We continue to study nitary abstract elementary classes, de ned in [7]. We introduce a concept of weak κ -categoricity and an f-primary model in a א0 -stable simple nitary AEC with the extension property, and gain the following theorem: Let (K,4K) be a simple nitary AEC, weakly categorical in some uncountable κ . Then (K,4K) is weakly categorical in each λ ≥ min{κ,i(2א0 )+} . We have that if th...

In the field of acoustic echo cancellation, it is well known that the amount of cancellation that can be obtained in real-world systems is limited. Euphemistically this has been referred to in the acoustic echo cancellation community as ”the 20 dB rule” [?]. This rule was formed from many real-world observations that one can typically obtain only about 20-30 dB of cancellation. The acoustic ech...

-This paper presents the Cancellation of an acoustic echo. Such echo canceller is essential to control the echoes generated by the acoustic coupling between the microphone and loudspeaker in hands free telephones or teleconferencing applications. Conventional acoustic echo canceller encounters problems like slow convergence rate (especially for speech signal) and high computational complexity a...