Accelerating Successive Projection Method by Exponential Prediction for Designing Nyquist Filter

Keisuke ISHIZAWA  Naoyuki AIKAWA 

Publication
A - Abstracts of IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (Japanese Edition)  Vol.J95-A  No.7  pp.573-578
Publication Date: 2012/07/01
Online ISSN: 1881-0195
Print ISSN: 0913-5707
Type of Manuscript: Special Section PAPER (Special Issue on Emerging Technologies in Electronics, Information and Communication)
Category: 
Keyword: 
Nyquist filter,  successive projection method,  exponential prediction,  design problem of frequency and time domain, 

Full Text(in Japanese): PDF(480.6KB)

Summary: 
In this paper, we propose a design method of Nyquist filter using fast successive projection accelerated by exponential prediction. First, we show an updating coefficient based on simultaneous approximation problem of frequency and time domain using successive projection method at the same time. And allowable error of successive projection is updated at each iteration. Next, we use an exponential prediction for accelerate a convergence of Projection Onto Convex Sets. Finally, we show about efficiency of the proposed method, as compared to conventional successive projection method.