Title :
Digital filters with equiripple or minimax responses
Author :
Helms, Howard D.
Author_Institution :
Bell Telephone Laboratories Inc., Whippany, N.J., USA
fDate :
3/1/1971 12:00:00 AM
Abstract :
Techniques for determining the coefficients of digital filters which have equiripple or minimax errors are reviewed and occasionally extended. These techniques include: 1) mapping to provide equiripple errors in recursive filters; 2) windows for making Fourier spectrum measurements with minimax leakage; 3) the simplex method of linear programming to provide minimax errors in a nonrecursive filter´s time response to a known pulse or Fourier transform of its coefficients; 4) nonlinear programming to provide minimax errors for nominally any response and filter; and 5) an integer programming technique to provide minimax error despite quantizing the coefficients of a nonrecursive filter. Some sources of computer programs embodying these techniques are indicated.
Keywords :
Computer errors; Digital filters; Fourier transforms; Integer linear programming; Linear programming; Minimax techniques; Nonlinear filters; Pulse measurements; Time factors; Time measurement;
Journal_Title :
Audio and Electroacoustics, IEEE Transactions on
DOI :
10.1109/TAU.1971.1162156