Matlab code

fs=20000;                 % sampling rate
F=[3000 4000 6000 8000];  % band limits
A=[0 1 0];                % band type: 0='stop', 1='pass'
dev=[0.0001 10^(0.1/20)-1 0.0001]; % ripple/attenuation spec
[M,Wn,beta,typ]= kaiserord(F,A,dev,fs);  % window parameters
b=fir1(M,Wn,typ,kaiser(M+1,beta),'noscale'); % filter design

Note the conciseness of the Matlab code thanks to the use of kaiserord and fir1 from the Signal Processing Toolbox.

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.