Title :
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
fDate :
10/1/1994 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
