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Design a maximally flat LPF with a cut-off frequency of 2GHz; generator and Load Impedance of 50$\Omega$; and with 15dB Insertion loss at 3GHZ with discrete LC component
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First find the required order of the maximally flat filter to satisfy the insertion loss specification at 3 GHz. We have that |ω/ωc| − 1 = 0.5; from Figure 8.26 we see that N = 5 will be sufficient.

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Then Table 8.3 gives the prototype element values as

g1 = 0.618,

g2 = 1.618,

g3 = 2.000,

g4 = 1.618,

g5 = 0.618.

Using following equations we get

$L'_k = \frac{R_0L_k}{w_c}$

$C'_k = \frac{C_k}{R_0w_c}$

Values of LC Component:

$C'_1=0.984pF$

$L'_2=6.438nH$

$C'_3=3.183pF$

$L'_4=6.438nH$

$C'_5 = 0.984pF$

Final Filter Representation:

enter image description here

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