TY - JOUR
T1 - Phase reconstruction from magnitude of band-limited multidimensional signals
AU - Sanz, Jorge L.C.
AU - Huang, Thomas S.
N1 - Funding Information:
J. Sanz was supported by CONICET under Contract N00014-79-Ca424.
PY - 1984/11
Y1 - 1984/11
N2 - In this paper, the problem of phase reconstruction from magnitude of multidimensional band-limited functions is considered. It is shown that any irreducible band-limited function f(z1...,zn), zi ε{lunate} C, i=1, ..., n, is uniquely determined from the magnitude of f(x1...,xn): | f(x1...,xn)|, xi ε{lunate} R, i=1,..., n, except for (1) linear shifts: i(α1z1+...+αn2n+β), β, αiε{lunate}R, i=1,..., n; and (2) conjugation: f*(z1*,...,zn *).
AB - In this paper, the problem of phase reconstruction from magnitude of multidimensional band-limited functions is considered. It is shown that any irreducible band-limited function f(z1...,zn), zi ε{lunate} C, i=1, ..., n, is uniquely determined from the magnitude of f(x1...,xn): | f(x1...,xn)|, xi ε{lunate} R, i=1,..., n, except for (1) linear shifts: i(α1z1+...+αn2n+β), β, αiε{lunate}R, i=1,..., n; and (2) conjugation: f*(z1*,...,zn *).
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U2 - 10.1016/0022-247X(84)90051-9
DO - 10.1016/0022-247X(84)90051-9
M3 - Article
AN - SCOPUS:50849151467
SN - 0022-247X
VL - 104
SP - 302
EP - 308
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -