In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map. We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either. We prove that if f is a transversal biwave map satisfying certain condition, then f is a transversal wave ma...

The continuous-time implementation of the popular transversal filter is problematic since it is impossible to implement an ideal time delay in continuous-time hardware. We believe that building an ideal time delay would not be worthwhile anyway since the ideal time delay has shown to be inferior to low-pass (Gamma) and all-pass (Laguerre) stages in discrete-time simulations. We demonstrate feed...

This study presents a tap-leakage adjustment algorithm to control the tap drifting problem in an adaptive echo canceller. A nonrecursive transversal filter structure and stochastic gradient adaptation algorithm are first studied. On the basis of these studies, the effect of tap drift when the input spectrum does not cover the full band is presented. The tap-leakage algorithm, which has been use...

An adaptive system performs the processing by using an architecture having time-varying parameters on the received signals which accompanies with clutters. In this paper, an adaptive moving target detector has been designed to meet the challenges of target detection amidst various levels of clutter environments. The approach has been used that is able to overcome the inherent limitations of con...

This paper introduces a new parallel algorithm for digital adaptive filters. The algorithm is a look-ahead realization of a transversal filter, where a forgetting factor is employed to diminish the effect of the past errors in the performance index. We have illustrated how such algorithm can be implemented in a regular and modular structure, suitable for VLSI implementation. The maximum samplin...

We present new kernelization results for the s-cycle transversal problem for s > 3. In particular, we show a 6k kernel for 4-cycle transversal and a O(k) kernel for s-cycle transversal when s > 4. We prove the NP-completeness of s-cycle transversal on planar graphs and obtain a 74k kernel for 4-cycle transversal on planar graphs. We also give several kernelization results for a related problem ...

A novel adaptive algorithm that estimates the difference in arrival times of a signal at two separated sensors is derived. The system consists of a transversal FIR filter whose coefficients are expressed in terms of the estimated delay and they are adjusted by using the LMS method. The mean square error performance surface is multimodal and proper initialization is required to ensure global con...