On signal reconstruction without phase

被引:399
作者
Balan, Radu
Casazza, Pete [1 ]
Edidin, Dan
机构
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[2] Siemens Corp Res, Princeton, NJ 08540 USA
关键词
frame; signal reconstruction; phase; speech recognition;
D O I
10.1016/j.acha.2005.07.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We will construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from the absolute value of the frame coefficients. As a consequence, signal reconstruction can be done without using phase or its estimation. This verifies a longstanding conjecture of the speech processing community. (C) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:345 / 356
页数:12
相关论文
共 19 条
[1]  
Anderson B., 1979, OPTIMAL FILTERING
[2]   Equivalence relations and distances between Hilbert frames [J].
Balan, R .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (08) :2353-2366
[3]  
BALAN R, UNPUB ALGORITHMS REC
[4]  
BATES RHT, 1986, ADV ELECTRON EL PHYS, V67, P1
[5]  
Becchetti C., 1999, Speech recognition: Theory and C++ implementation
[6]  
Christensen O., 2003, An Introduction to Frames and Riesz Bases, DOI DOI 10.1007/978-0-8176-8224-8
[7]   SPEECH ENHANCEMENT USING A MINIMUM MEAN-SQUARE ERROR SHORT-TIME SPECTRAL AMPLITUDE ESTIMATOR [J].
EPHRAIM, Y ;
MALAH, D .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1984, 32 (06) :1109-1121
[8]   RECONSTRUCTION OF AN OBJECT FROM MODULUS OF ITS FOURIER-TRANSFORM [J].
FIENUP, JR .
OPTICS LETTERS, 1978, 3 (01) :27-29
[9]   PHASE RETRIEVAL ALGORITHMS - A COMPARISON [J].
FIENUP, JR .
APPLIED OPTICS, 1982, 21 (15) :2758-2769
[10]  
Han DG, 2000, MEM AM MATH SOC, V147