Galil DMC-1700 Manual De Usuario

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DMC-1700/1800 
Chapter 10 Theory of Operation  •  197 
then it follows that G(s) must have magnitude of 
|G(j500)| = |A(j500)/L(j500)| = 160 
and a phase 
arg [G(j500)] = arg [A(j500)] - arg [L(j500)] = -135
° + 194°  = 59° 
In other words, we need to select a filter function G(s) of the form 
G(s) = P + sD 
so that at the frequency 
ωc =500, the function would have a magnitude of 160 and a phase lead of 59 degrees. 
These requirements may be expressed as: 
|G(j500)| = |P + (j500D)| = 160 
and 
arg [G(j500)] = tan-1[500D/P] = 59
° 
The solution of these equations leads to:  
P = 160cos 59
° = 82.4  
500D = 160sin 59
° = 137 
Therefore, 
D = 0.274 
and 
G = 82.4 + 0.2744s 
The function G is equivalent to a digital filter of the form: 
D(z) = 4KP + 4KD(1-z-1) 
where 
P = 4 
 KP 
 
D = 4 
∗ KD ∗ T 
and 
 KD = D/T 
Assuming a sampling period of T=1ms, the parameters of the digital filter are:  
KP = 20.6 
KD = 68.6 
The DMC-1700/1800 can be programmed with the instruction: 
KP 20.6 
KD 68.6 
In a similar manner, other filters can be programmed.  The procedure is simplified by the following table, which 
summarizes the relationship between the various filters.