ee648 termpaper topic

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EE648: Term Paper You are requested to submit the following items: A. Report containing: (i) Derivations, if any (ii) Assumptions if any (iii) Final design equations (iv) Theoretical dimensions of structures along with schematic (v) Figure of Simulated Structure in HFSS (vi) Simulation Response (vii) Optimized Dimension in HFSS if any and its response in HFSS B. HFSS (*.hfss) File (after running of this file, it should provide the simulated results as given in report) Problem Statements: 11529 PRATEEK YADAV 1. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 2.45 GHz with a power division ratio of 1/3, and a source impedance of 50 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS. 11558 RAHUL AGRAWAL 2. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 3.5 GHz with a power division ratio of 1/2, and a source impedance of 50 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify

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Page 1: EE648 Termpaper Topic

EE648: Term Paper

You are requested to submit the following items:

A. Report containing:(i) Derivations, if any(ii) Assumptions if any(iii) Final design equations(iv) Theoretical dimensions of structures along with schematic(v) Figure of Simulated Structure in HFSS(vi) Simulation Response(vii) Optimized Dimension in HFSS if any and its response in HFSS

B. HFSS (*.hfss) File (after running of this file, it should provide the simulated results as given in report)

Problem Statements:

11529 PRATEEK YADAV

1. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 2.45 GHz with a power division ratio of 1/3, and a source impedance of 50 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

11558 RAHUL AGRAWAL

2. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 3.5 GHz with a power division ratio of 1/2, and a source impedance of 50 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104037 DINESH DWIVEDI

3. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 5.2 GHz with a power division ratio of 1/3, and a source impedance of 100 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104040 GAURAV SUNILRAO NANDODE

4. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 4 GHz with a power division ratio of 2/5, and a source impedance of 100 Ohms. Clearly describe the intermediate steps and calculations. Lay out the

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microstrip implementation of the power divider on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104041 GOHEL ANKITKUMAR CHHOTUBHAI

5. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 6 GHz with a power division ratio of 2/3, and a source impedance of 150 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104043 GOPIKRISHNAN G

6. Derive the design equations for an unequal-split Wilkinson power divider. Design a Wilkinson power divider operating at 1.8 GHz with a power division ratio of 1/4, and a source impedance of 75 Ohms. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the power divider on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104045 GUNDAREDDY VENKATA KRISHNA REDDY

7. Design a Bethe hole coupler as given in Microwave Engineering book by Pozar for X-band waveguide operating at 10 GHz. The required coupling is 20 dB. Assume a round aperture. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 8 GHz to 12 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104053 JAMPU BHARANI BHARADWAJ

8. Design a Bethe hole coupler as given in Microwave Engineering book by Pozar for C-band waveguide operating at 6 GHz. The required coupling is 25 dB. Assume a round aperture. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 4 GHz to 8 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104054 JYOTI ROAT

9. Design a Bethe hole coupler as given in Microwave Engineering book by Pozar for S-band waveguide operating at 3 GHz. The required coupling is 15 dB. Assume a round aperture. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 2 GHz to 4 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104057 KARISHMA

10. Design a Bethe hole coupler as given in Microwave Engineering book by Pozar for Ku-band waveguide operating at 15 GHz. The required coupling is 20 dB. Assume a round aperture. Clearly describe the intermediate steps and calculations. Plot the coupling and

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directivity from 12 GHz to 18 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104061 KM DIVYA SINGH YADAV

11. Design a Bethe hole coupler as given in Microwave Engineering book by Pozar for X-band waveguide operating at 9 GHz. The required coupling is 15 dB. Assume a round aperture. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 7 GHz to 11 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104064 L CHIRANJEEVI MANIKANTA

12. Design a Bethe hole coupler as given in Microwave Engineering book by Pozar for Ku-band waveguide operating at 17 GHz. The required coupling is 25 dB. Assume a round aperture. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 15 GHz to 19 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104067 LAXMAN PRASAD GOSWAMI

13. Design a five-hole directional coupler in Ku-band waveguide with a binomial directivity response. The center frequency is 15 GHz, and the required coupling is 20 dB. Use round apertures centered across the broad wall of the waveguides. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 12 GHz to 18 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104078 MONDEEP SAIKIA

14. Design a five-hole directional coupler in X-band waveguide with a binomial directivity response. The center frequency is 10 GHz, and the required coupling is 25 dB. Use round apertures centered across the broad wall of the waveguides. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 8 GHz to 12 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104079 MONIKA SINGH

15. Design a five-hole directional coupler in C-band waveguide with a binomial directivity response. The center frequency is 6 GHz, and the required coupling is 15 dB. Use round apertures centered across the broad wall of the waveguides. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 4 GHz to 8 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104082 MRUTHYUNJAYA

16. Design a five-hole directional coupler in Ku-band waveguide with a Chebyshev response, having a minimum directivity of 30 dB. The center frequency is 15 GHz. Use round apertures centered across the broad wall of the waveguides. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 12 GHz to 18 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

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14104083 MUHAMMED SHAFI K T

17. Design a five-hole directional coupler in X-band waveguide with a Chebyshev response, having a minimum directivity of 40 dB. The center frequency is 10 GHz. Use round apertures centered across the broad wall of the waveguides. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 8 GHz to 12 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104086 NAGADASTAGIRI REDDY C

18. Design a five-hole directional coupler in C-band waveguide with a Chebyshev response, having a minimum directivity of 35 dB. The center frequency is 6 GHz. Use round apertures centered across the broad wall of the waveguides. Clearly describe the intermediate steps and calculations. Plot the coupling and directivity from 4 GHz to 8 GHz. Implement the coupler in HFSS and verify the design by simulation of S-parameters.

14104093 NEHA HAKLA

19. A 20 dB three-section coupled line coupler is required to have a maximally flat coupling response, with a center frequency of 2.45 GHz and Z0 = 50 Ω. (a) Design the coupler and find Z0e and Z0o for each section. Clearly describe the intermediate steps and calculations. Plot the resulting coupling and directivity (in dB) from 1 to 4 GHz. (b) Lay out the microstrip implementation of the coupler on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104102 OM PANDEY

20. A 15 dB three-section coupled line coupler is required to have a maximally flat coupling response, with a center frequency of 3.5 GHz and Z0 = 75 Ω. (a) Design the coupler and find Z0e and Z0o for each section. Clearly describe the intermediate steps and calculations. Plot the resulting coupling and directivity (in dB) from 1 to 6 GHz. (b) Lay out the microstrip implementation of the coupler on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104117 PRASHANT KUMAR VARSHNEY

21. A 25 dB three-section coupled line coupler is required to have a maximally flat coupling response, with a center frequency of 5.2 GHz and Z0 = 100 Ω. (a) Design the coupler and find Z0e and Z0o for each section. Clearly describe the intermediate steps and calculations. Plot the resulting coupling and directivity (in dB) from 3 to 7 GHz. (b) Lay out the microstrip implementation of the coupler on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104120 PREETI YADAV

22. A 20 dB three-section coupled line coupler is required to have a equal-ripple coupling response, with a center frequency of 2.45 GHz and Z0 = 50 Ω. (a) Design the coupler and find Z0e and Z0o for each section. Clearly describe the intermediate steps and calculations. Plot the

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resulting coupling (in dB) from 1 to 4 GHz. (b) Lay out the microstrip implementation of the coupler on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104122 R K PANDEY

23. A 15 dB three-section coupled line coupler is required to have a equal-ripple coupling response, with a center frequency of 3.5 GHz and Z0 = 75 Ω. (a) Design the coupler and find Z0e and Z0o for each section. Clearly describe the intermediate steps and calculations. Plot the resulting coupling (in dB) from 1 to 6 GHz. (b) Lay out the microstrip implementation of the coupler on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104125 RAHUL KUMAR GAUTAM

24. A 25 dB three-section coupled line coupler is required to have a equal-ripple coupling response, with a center frequency of 5.2 GHz and Z0 = 100 Ω. (a) Design the coupler and find Z0e and Z0o for each section. Clearly describe the intermediate steps and calculations. Plot the resulting coupling (in dB) from 3 to 7 GHz. (b) Lay out the microstrip implementation of the coupler on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Verify the design by simulation of S-parameters of the structure in HFSS.

14104126 RAHUL SHAW

25. Design a bandpass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center-frequency of 2.45 GHz, a 20% bandwidth, and an impedance of 50 Ω. (a) Find the required characteristic impedances of the resonators and plot the insertion loss from 1 to 4 GHz. Clearly describe the intermediate steps and calculations. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the pass-band of the filter in HFSS.

14104132 RANJEET SINGH

26. Design a bandpass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center-frequency of 3 GHz, a 25% bandwidth, and an impedance of 75 Ω. (a) Find the required characteristic impedances of the resonators and plot the insertion loss from 1 to 5 GHz. Clearly describe the intermediate steps and calculations. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the pass-band of the filter in HFSS.

14104133 RAVI KUMAR VERMA

27. Design a bandpass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center-frequency of 4.5 GHz, a 10%

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bandwidth, and an impedance of 50 Ω. (a) Find the required characteristic impedances of the resonators and plot the insertion loss from 3 to 6 GHz. Clearly describe the intermediate steps and calculations. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the pass-band of the filter in HFSS.

14104142 SANCHARI SEN SARMA

28. Design a bandpass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center-frequency of 6 GHz, a 30% bandwidth, and an impedance of 100 Ω. (a) Find the required characteristic impedances of the resonators and plot the insertion loss from 4 to 8 GHz. Clearly describe the intermediate steps and calculations. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the pass-band of the filter in HFSS.

14104148 SATYAJIT PANDA

29. Design a bandpass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center-frequency of 1.6 GHz, a 10% bandwidth, and an impedance of 50 Ω. (a) Find the required characteristic impedances of the resonators and plot the insertion loss from 0.5 to 2.5 GHz. Clearly describe the intermediate steps and calculations. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the pass-band of the filter in HFSS.

14104175 TALLAM VISHWANATH

30. Design a bandpass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center-frequency of 9 GHz, a 20% bandwidth, and an impedance of 75 Ω. (a) Find the required characteristic impedances of the resonators and plot the insertion loss from 7 to 11 GHz. Clearly describe the intermediate steps and calculations. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the pass-band of the filter in HFSS.

11415 MAYANK AGRAWAL

31. Design a four-section coupled line bandpass filter with a 0.5 dB equal ripple response. The center frequency is 2.45 GHz, the bandwidth is 10%, and the impedance is 50 Ω. (a) Find the required even and odd mode impedances of the coupled line sections, and calculate the expected attenuation at 2.1 GHz. Clearly describe the intermediate steps and calculations. Plot the insertion loss and return loss from 1 to 4 GHz. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the passband of the filter by implementing the structure in HFSS.

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14104071 MAMTA

32. Design a four-section coupled line bandpass filter with a 0.5 dB equal ripple response. The center frequency is 3.5 GHz, the bandwidth is 10%, and the impedance is 75 Ω. (a) Find the required even and odd mode impedances of the coupled line sections, and calculate the expected attenuation at 3 GHz. Clearly describe the intermediate steps and calculations. Plot the insertion loss and return loss from 1 to 6 GHz. (b) Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the passband of the filter by implementing the structure in HFSS.

14104182 VARUNA A B

33. Design a bandpass filter using capacitive-gap coupled resonators. The response should be maximally flat, with a center frequency of 2.45 GHz, a bandwidth of 20%, and at least 20 dB attenuation at 1.9 GHz. The characteristic impedance is 50 Ω. Find the electrical line lengths and the coupling capacitor values. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the passband of the filter by implementing the structure in HFSS.

14104190 WANKHADE SAKET ONKAR

34. Design a bandpass filter using capacitive-gap coupled resonators. The response should be maximally flat, with a center frequency of 3.5 GHz, a bandwidth of 25%, and at least 20 dB attenuation at 2.6 GHz. The characteristic impedance is 50 Ω. Find the electrical line lengths and the coupling capacitor values. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the passband of the filter by implementing the structure in HFSS.

14104192 YASHIKA SHARMA

35. Design a bandpass filter using capacitive-gap coupled resonators. The response should be maximally flat, with a center frequency of 5.2 GHz, a bandwidth of 15%, and at least 20 dB attenuation at 4.5 GHz. The characteristic impedance is 100 Ω. Find the electrical line lengths and the coupling capacitor values. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the passband of the filter by implementing the structure in HFSS.

14104194 YOGESH PAL SINGH

36. Design a bandpass filter using capacitive-gap coupled resonators. The response should be maximally flat, with a center frequency of 10 GHz, a bandwidth of 20%, and at least 20 dB attenuation at 8 GHz. The characteristic impedance is 50 Ω. Find the electrical line lengths and the coupling capacitor values. Clearly describe the intermediate steps and calculations.

Page 8: EE648 Termpaper Topic

Lay out the microstrip implementation of the filter on an FR4 substrate having ε r = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the passband of the filter by implementing the structure in HFSS.

14104263 AVIRUP DASGUPTA

37. Design a maximally flat bandstop filter using four open-circuited quarter-wave stub resonators. The center frequency is 3 GHz, the bandwidth is l5%, and the impedance is 40Ω. Plot the insertion loss and return loss versus frequency from 1 to 5 GHz. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the stopband of the filter by implementing the structure in HFSS.

14104268 KRANTI KUMAR KATARE

38. Design a maximally flat bandstop filter using four open-circuited quarter-wave stub resonators. The center frequency is 1.5 GHz, the bandwidth is l0%, and the impedance is 50Ω. Plot the insertion loss and return loss versus frequency from 0.5 to 2.5 GHz. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the stopband of the filter by implementing the structure in HFSS.

14112004 ARCHANA TIWARI

39. Design a maximally flat bandstop filter using four open-circuited quarter-wave stub resonators. The center frequency is 5 GHz, the bandwidth is 20%, and the impedance is 100Ω. Plot the insertion loss and return loss versus frequency from 2 to 8 GHz. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the stopband of the filter by implementing the structure in HFSS.

14112015 PICON PAL

40. Design a maximally flat bandstop filter using four open-circuited quarter-wave stub resonators. The center frequency is 7 GHz, the bandwidth is 25%, and the impedance is 50Ω. Plot the insertion loss and return loss versus frequency from 4 to 10 GHz. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the stopband of the filter by implementing the structure in HFSS.

14204266 MAHESH SINGH BISHT

41. Design a maximally flat bandstop filter using four open-circuited quarter-wave stub resonators. The center frequency is 9 GHz, the bandwidth is l5%, and the impedance is 50Ω. Plot the insertion loss and return loss versus frequency from 7 to 11 GHz. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on

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an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the stopband of the filter by implementing the structure in HFSS.

14204269 SAURABH SHUKLA

42. Design a maximally flat bandstop filter using four open-circuited quarter-wave stub resonators. The center frequency is 15 GHz, the bandwidth is 20%, and the impedance is 100Ω. Plot the insertion loss and return loss versus frequency from 12 to 18 GHz. Clearly describe the intermediate steps and calculations. Lay out the microstrip implementation of the filter on an FR4 substrate having εr = 4.2, thickness 0.8 mm, tanδ = 0.02, with copper conductors 35 μm thick. Plot the insertion loss and return loss versus frequency in the stopband of the filter by implementing the structure in HFSS.