Effective Bandwidth of 2-D Functions that can be Expressed as a Linear Combination of Orthogonal Functions

Cherif Amirat; Paul M. Chirlian

doi:10.1109/31.17595

Effective Bandwidth of 2-D Functions that can be Expressed as a Linear Combination of Orthogonal Functions

Cherif Amirat
, Paul M. Chirlian

School of Business

Stevens Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	452-454
Number of pages	3
Journal	IEEE Transactions on Circuits and Systems
Volume	36
Issue number	3
DOIs	https://doi.org/10.1109/31.17595
State	Published - Mar 1989

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title = "Effective Bandwidth of 2-D Functions that can be Expressed as a Linear Combination of Orthogonal Functions",

abstract = "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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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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Effective Bandwidth of 2-D Functions that can be Expressed as a Linear Combination of Orthogonal Functions

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