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FIGURE 655 (a) A distributed bandstop lter with (b) equivalent lumped series shunt circuit
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50 STUB 105 mil 156 mil
Port_2 50
END EFFECT 0 2 4 6 GAIN (dB) 8 10 12 14 16 18 20 0
GAIN S11
0 6 12 18 24 30 36 42 48 54 4 6 8 10 12 14 Frequency (GHz) 16 18 60 20 S11 (dB)
FIGURE 656 An open stub acting as a 116-GHz bandstop lter, showing the simulated circuit, the actual physical layout, and the frequency response
simply duplicate the above bandpass design procedures, but leave the stub open instead of grounding it through a PCB via Because it is now an open stub, however, the endeffect will demand that the length of the stub be trimmed down by approximately 5% below the calculated length To do this, trim a small amount off the end of the open stub until the center frequency is as expected We can also widen their bandpass by creating a wider stub (this is rarely desired in most applications)
A Quick Example Design an Open Stub Bandstop Filter (Fig 656) Goal: Create an open stub BSF filter for microwave frequencies The specifications and parameters for the structure are: fr = 116 GHz (2nd harmonic of 58 GHz) Z0 = 50 Substrate = Roger s RO-4003, 20-mils thick Solution: 1 W = 105 mils 2 L = 164 mils (optimized to 156 mils due to end-effect)
Filter Design
THROUGHHOLE VIA TO GROUND
"B" LENGTH
50
INPUT A
50
OUTPUT
NO "B" ADDITION
FIGURE 657
An effective third-order interdigital distributed BP lter design
A Three-Pole Distributed Microstrip Interdigital BP Filter (Fig 657)
The following Butterworth three-pole distributed filter is perfect for many basic bandpass filtering needs, but requires RF simulation to optimize for proper performance
To Design
1 Compute the percentage of bandwidth required at the 3-dB down points at the center frequency of interest: BW3dB = (Fu( 3dB ) FL( 3dB ) ) 100 fCENTER
where BW3dB = percentage of the bandwidth at the 3-dB points, % Fu(3 dB) = frequency of the upper 3-dB point, Hz FL(3 dB) = frequency of the lower 3-dB point, Hz fCENTER = filter s center frequency, Hz 2 Calculate the width W of the 60- microstrip elements as in Shorted Stub Bandpass Filter under Sec 633 3 The length of dimension L will be 90 at fr Calculate the length L, in mils, of these 90 microstrip elements as in Shorted Stub Bandpass Filter under Sec 633
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4 Calculate the length A of the two outer filter elements from the center of the microstrip input/output transmission lines to the PCB s ground via: F A = CF L L L Fu where A = length to center of the input and output 50 transmission line from the center of the PCB s ground via, mils CF = correction factor If the BW3 dB as calculated above is 30% BW then CF = 130; 20% BW, CF = 135; 10% BW, CF = 170; 5% BW, CF = 20 L = length of the 90 stub, as calculated in step 3 above, mils FL = lower 3-dB filter frequency (must be the same as that used for the BW3 dB calculations above), Hz Fu = upper 3-dB filter frequency (must be the same as that used for the BW3 dB calculations above), Hz 5 To calculate the length required of extension B on each of the outer elements ( B is the same width W as the elements themselves, or 60 ): B = A CF where B = additional length to be added to both end stubs, mils A = length to the center of the input and output 50 transmission line from the center of the ground, via as calculated above, mils CF = correction factor required for various different 3-dB filter bandwidth percentages (BW3 dB): 30% BW then CF = 020; 20% BW, CF = 014; 10% BW, CF = 005; 5% BW, CF = 001 6 To find the proper spacing between each grounded stub section: S = A CF where S = spacing between adjacent stubs, mils A = length to the center of the input and output 50 transmission line from the center of the ground via, mils CF = correction factor per various bandwidth percentages (BW3 dB) as calculated above: 30% BW, CF = 009; 20% BW, CF = 02; 10% BW, CF = 055; 5% BW, CF = 14 7 Ground each stub section directly to the PCB s groundplane through a via at the indicated end 8 Place BPF design in an RF simulator, such as Qucs, and adjust the spacing S between elements for improved S21, S11, and to attain your desired bandwidth Adjust the length L to shift the bandpass up or down
A Quick Example Design a Three-Pole Distributed Bandpass Filter (Fig 658) Goal: Create a distributed bandpass filter for microwave frequencies The specifications and parameters for the structure are: fr = 58 GHz fPB = 56 to 6 GHz
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