Lagrange multiplier approach to the design of two-dimensional FIR digital filters for sampling structure conversion

Author

Shyu, Jong-Jy ; Pei, Soo-Chang

Author_Institution

Dept. of Comput. Sci. & Eng., Tatung Inst. of Technol., Taipei, Taiwan

Volume

42

Issue

10

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

2884

Lastpage

2886

Abstract

The 1D Lagrange multiplier approach is extended for the design of 2D FIR digital filters with magnitude or derivative constraints. The method is based on minimizing the integrated square error for the frequency response over the passband and stopband while imposing magnitude or derivative constraints. The technique is used to design the interpolation and decimation filters for the sampling structure conversion. Numerical design examples are presented to demonstrate the effectiveness of the approach

Keywords

error analysis; frequency response; interpolation; least squares approximations; two-dimensional digital filters; Lagrange multiplier approach; decimation filters; derivative constraint; design; frequency response; integrated square error; interpolation filters; magnitude constraint; numerical design examples; passband; sampling structure conversion; stopband; two-dimensional FIR digital filters; Digital filters; Finite impulse response filter; Frequency response; Image converters; Image sampling; Interpolation; Lagrangian functions; Passband; Periodic structures; Sampling methods;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.324762

Filename

324762