1.0 

 0.9 



o.a 



o.Y 

 0.6 

 O.'j 



O.I* 



S. 0.3 



(a 



0.2 

 0.1 



-0.1 



-o.a 



1.001 





A 



£ 













^Ai 



M 



» = 20 



h = 0.1 

 r c =r 0.2 

 E = Cl .001 

 r^ = IDEAL OS 



U.JJO 



*rv 



VSi] 



V 











\ 









\ 





CUTOFF 















\ 



CUTOFF 









\ 

















\ 















\ 















\ 















\ 

 \ 

















\ 



R _i 









-r 1 



\JI 



" 











° C ' 



V ■■ 







\ 



















t 



O.OOi 

 0.0005 

 O.OOuO 

 -0.0005 

 -0.001 



.1 0.2 0.3 0.1) 0.5 0.6 

 NOHMaLIZED FRF.0U3X* (r) 



Figure 6. Frequency-response function for the filter. The 

 magnified scale at the upper left gives ^the magnitude of the 

 oscillations between r = and r c = 0.J2.- The variations 

 show the small departures from the ideal gain of unity. E 

 is the maximum absolute gain error in this portion of the 

 frequency-response function. The portion of the curve between 

 the ideal normalized cutoff frequency (r c =G.2) and th" actual 

 normalized cutoff frequency (r ac =0-395) is plotted with 

 reference to the vertical scale at the extreme left with range 

 R{r) from zero to 1. The magnified scale at the lower right 

 shows the oscillatory nature of '„he frequency-response func- 

 tion between the first zero crossing and the frequency limit 

 (r=0-5), and E gives the magnitude of the maximum absolute 

 gain error for this part of the response function. The 

 variations in this portion of the frequency-respr: se curve 

 indicate its departure from the ideal value of zero. 



20 



