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Manual Cascade Calculation with Mismatch Given the cascade shown in Figure 1-40: a. Find the cascade gain assuming the mismatch loss of every component is zero (i.e., each component is perfectly...

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Manual Cascade Calculation with Mismatch Given the cascade shown in Figure 1-40:

a. Find the cascade gain assuming the mismatch loss of every component is zero (i.e., each component is perfectly matched to 50 ).

b. If each component has a maximum input VSWR of 2.0, what are the minimum and maximum reflection coefficients present on the input port of each device? What are the allowable angles of the reflection coefficient?

c. If each component has a maximum output VSWR of 1.5, what are the minimum and maximum output impedances present on the output port of each device? What are the allowable angles of the reflection coefficient?

d. What is the maximum possible input mismatch loss of each component? What is the maximum possible output mismatch loss of each component?

e. What is the minimum and maximum gain of the cascade if each component has a maximum input VSWR specification of 2.0 and a maximum output VSWR specification of 1.5?

f. Describe, in words, the condition in which the gain variation varies the most from its nominal or matched value.

Figure 1-40

Answered 121 days After May 21, 2022

Solution

Baljit answered on Sep 20 2022
70 Votes
Manual Cascade Problem
A. Cascade gain(decibal)= sum of gain(decibal) of all component in series
Cascade gain(decibal)= -5.0+17-4-15=-7dB
B. Maximum Input VSWR =2
we know that VSWR=(1+|┌ |)/(1-|┌|)    
here ┌ is reflection coefficient.
So
|┌ |= (VSWR-1)/(VSWR+1)=(2-1)/(1+2)=1/3=0.333
So maximum value of reflection coefficient of each device is 0.333 and minimum is -0.333.
Now angle of reflection coefficient= acos(|┌ |)
So Now maximum allowable Phase angle for each state is at reflection coefficient 0.333 and -0.333
which are 70o and 109o.
C.
Maximum Output VSWR =2
we know that VSWR=(1+|┌...
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