Linkwitz Vs Butterworth

Linkwitz Vs Butterworth

Comparison of the magitude response of the summed Butterworth and Linkwitz-Riley crossover filters. The Butterworth crossovers have a +3dB peak at the crossover frequency, whereas the L-R filters have a flat summed output. The plot was created with maxima using the following code: G(w,n) := 1/sqrt(1+w**(2*n)); H(w,n) := 1/sqrt(1+1/w**(2*n)); dB(x) := 20*log(x)/log(10); load(draw); draw2d( terminal=svg,logx=true, grid=true,user_preamble="set mxtics; set mytics;set key 100,-5", xtics_axis=false,ytics_axis=false,ip_grid=[100,100], color=black,xlabel="Angular frequency (rad/sec)",ylabel="Gain (dB)", xaxis_type=solid,yaxis_type=solid,line_width=1.5,yrange=[-50,10], axis_bottom=true,axis_top=false,axis_right=false,axis_left=true, key="LR2",color=...

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UploadedMay 10, 2026

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