TY - JOUR
T1 - Effective Bandwidth of 2-D Functions that can be Expressed as a Linear Combination of Orthogonal Functions
AU - Amirat, Cherif
AU - Chirlian, Paul M.
PY - 1989/3
Y1 - 1989/3
N2 - In this paper we investigate bounds on the two dimensional function f(x, y), which can be expressed as a linear combination of an orthogonal set of functions{ [qnm(x, y)} in the mean. Each function qnm(x, y) has the property of being separable, that is, qnm(x,y)=qn(x)qm(y). (1) Each of this functions is band limited. Effective bandwidth expressions are derived based on a given error criterion.
AB - In this paper we investigate bounds on the two dimensional function f(x, y), which can be expressed as a linear combination of an orthogonal set of functions{ [qnm(x, y)} in the mean. Each function qnm(x, y) has the property of being separable, that is, qnm(x,y)=qn(x)qm(y). (1) Each of this functions is band limited. Effective bandwidth expressions are derived based on a given error criterion.
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U2 - 10.1109/31.17595
DO - 10.1109/31.17595
M3 - Article
AN - SCOPUS:0024628099
SN - 0098-4094
VL - 36
SP - 452
EP - 454
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
IS - 3
ER -