Symmetry in the frequency response of two-dimensional (/spl gamma//sub 1/, /spl gamma//sub 2/) complex plane discrete-time systems

This paper presents the constraints on two-dimensional /spl gamma/-domain polynomials so that they possess various types of symmetries in their magnitude functions. Refering to a parameter (/spl Delta/), it is concluded that new symmetry conditions derived in /spl gamma/-plane converge to those of 2...

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Hauptverfasser: Reddy, H.C., Khoo, I.-H., Rajan, P.K., Stubberud, A.R.
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creator Reddy, H.C.
Khoo, I.-H.
Rajan, P.K.
Stubberud, A.R.
description This paper presents the constraints on two-dimensional /spl gamma/-domain polynomials so that they possess various types of symmetries in their magnitude functions. Refering to a parameter (/spl Delta/), it is concluded that new symmetry conditions derived in /spl gamma/-plane converge to those of 2-D continuous-time systems as /spl Delta/ tends to zero. For analog sampled-data systems, /spl Delta/ can be treated as a sampling period, otherwise it is simply treated as a design parameter.
doi_str_mv 10.1109/ISCAS.1998.694409
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subjects Filters
Finite wordlength effects
Frequency response
Polynomials
Process design
Reflection
Sampling methods
title Symmetry in the frequency response of two-dimensional (/spl gamma//sub 1/, /spl gamma//sub 2/) complex plane discrete-time systems
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