L2 L= nh. L4 L= nh. C2 C= pf. Term Term1 Num=1 Z=50 Ohm. Term2 Num=2 Z=50 Oh. C3 C= pf S-PARAMETERS

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Yonca Yavuz
7 yıl önce
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1 1- Design a coupled line 5th order 0.5 db equal-ripple bandpass filter with the following characteristics: Zo = 50 ohm, band edges = 3 GHz and 3.5 GHz, element values of LPF prototype are with N = 5: g1 = , g2 = , g3 = , g4 = , g5 = , g6 = Just Find the element values according to the below circuit. L L2 L= nh L L4 L= nh Term Term1 Num=1 Z=50 Ohm C C1 C= pf C C2 C= pf L L1 L= nh C C3 C= pf C C4 C= pf L L3 L= nh C C5 C= pf L L5 L= nh Term Term2 Num=2 Z=50 Oh S-PARAMETERS S_Param SP1 Start=2.9 GHz Stop=3.6 GHz Step=

2 1- Merkez frekansı 2 GHz, bant genişliği merkez frekansın %5 i olan, asağıdaki şekildeki gibi 4 elemanlı bir 50 ohm Butterworth bant geçiren filtre tasarlayınız. Butterworth alçak geçiren eleman değerlerini hesaplamak için aşağıdaki formülü kullanın. ( p 0.5) π gp= 2sin, p= 1,2,..., n n 1- Design a four-section band-pass lumped-element filter having a maximally flat group delay response as shown below. The bandwidth should be 5% with a center frequency of 2 GHz. The impedance is 50 Ω. LPF prototype element values can be determined from ( p 0.5) π gp= 2sin, p= 1,2,..., n. n

3 3- Design a five-section HPF with a 3 db equal-ripple response. The cutoff frequency is 1 GHz. The impedance is 50 Ω. Your filter should look like below. Find the element values. The normalized element values for a 3 db equal-ripple response are g = g = , g = g = , g =

4 4- Design a low pass stepped impedance filter with equal ripple of 0.5 db. Use g 0 =1, g 1 =1.5963, g 2 =1.0967, g 3 =1.5963, g 4 =1. The filter should be input and output matceh to 50 ohms. The wavelength is 2 cm. The highest impedance that can be manufactured is 150 ohms, and the lowest impedance allowed due to size restrictions is 25 ohms. Specify the lengths and impedances of all sections of the filter. The sketch of the final design should look like below.

5 1- Design a low-pass maximally flat lumped-element filter having a 3 db cut-off frequency of 3 GHz with an attenuation of 20 db at 5 GHz. The characteristic impedance is 75 Ω. Show the final circuit. You can use any one of the two topologies. The number of elements n can be 2 determined from insertion loss IL= 10log 1 ( f f ) n + c, and prototype element values can ( p 0.5) π be determined from gp= 2sin, p= 1,2,..., n. n f = 3GHz, IL= 20dB@ f= 5GHz, R = 75 Ω, c 0 1,5 2, ωc R0ωc ωc 0 ω 5 1= 1= at 20 db N= 5 g1= g5= 0.618, g2= g4= 1.618, g3= 2 ωc 3 Rg g Rg L = L = = nh, C = C = = pf, L = = 7.95 nh g Rg g C = C = = pf, L = L = = nh, C = = pf 1,5 0 2, R0ωc ωc R0ωc

6 2- Design a five-resonator Chebyshev BPF filter with 0.5 db ripple. The characteristic impedance is 75 Ohms. The filter is to be centered at MHz and have a bandwidth of 5 MHz. The LPF prototype of this filter is given below with element values of g = g = , g = g = , g =

7 1- Design a 50 ohm four section BPF. The bandwidth should be 5% with a center frequency of 2 GHz. The element values are for N = 4 g 1 = 1.06, g 2 = 0.52, g 3 = 0.32, g 4 = 0.11, and g 5 = Merkez frekansi 2 GHz, bant genisligi merkez frekansin %5 i olan, 4 elemanli bir 50 ohm Butterworth BPF tasarlayiniz. Ilk eleman seri bobin olsun. Alcak geciren elemanlar N = 4 için g 1 = 1.06, g 2 = 0.52, g 3 = 0.32, g 4 = 0.11, ve g 5 =

1- With the insertion loss method design a Chebyshev high-pass filter with the lumped circuit elements. The cut-off frequency is at ω c = 2 x 10 9 rad/s, and the ripple is 3 db.

8 1- With the insertion loss method design a Chebyshev high-pass filter with the lumped circuit elements. The cut-off frequency is at ω c = 2 x 10 9 rad/s, and the ripple is 3 db. At ω =1x10 9 rad/s the insertion loss is no less than 50 db. The source impedance is Z 0 = 100 Ω. a) Find the required lowest order of the filter and the g i values for the corresponding LPF. b) Design and draw the HPF in Π-style, and find the values of the inductors and capacitors in the HPF.

9 3- Merkez frekansi 90 MHz, bant genisligi 6 MHz olan, 3 dereceden bir Butterworth BPF tasarlayiniz. Sistem empedansi 75 ohm. LPF prototipinde ilk eleman seri bobin olsun. 3- Design 3-resonator 75 ohm Butterworth BPF with a center frequency of 90 MHz and a bandwidth of 6 MHz. In your LPF prototype, make the first element an inductor.

10 4- Design a four resonator BPF with a center frequency of 500 KHz and a bandwidth of 20 KHz. Let the system impedance be 75 ohm. In the LPF prototype make the first element an inductor. The maximally flat LPF element values for N = 4 are g 1 = , g 2 = , g 3 = , g 4 = , and g 5 =

11 5- Kesim frekansi 2 GHz, giris/cikis empedansi 50 ohm olan alcak geciren ikinci dereceden bir Butterworth filtre tasarlayin. Tasarlanan filtre de yuke paralel bir kondansator olsun. Butterworth elemanlar g 1 = , g 2 = , g 3 = Design a second-order 50 ohm Butterworth BPF with a center frequency of 300 khz and a bandwidth of 50 khz.

12 6- Design a 50 ohm Butterworth LPF with cut-off frequency of f c = 7 MHz and loss which exceed 20 db at f = 14 MHz. The first element from the input must be a series inductor. 6- Kesim frekansı 7 MHz ve 14 Mhz te en az 20 db zayıflama sağlayan 50 ohm bir Butterworth LPF tasarlayın. Girişteki ilk eleman bobin olsun. f = 7 MHz, g = , L= MHz, Z = 50 Ω, f f = 2, L= 10 log 1 ( ) c 4 0 c + f f c n= 1 L= 6.99 db, n= 2 L= 12.3 db, n= 3 L= db n= 4 L= db> 20 db g = , g = , g = , g = L L = = 870 nh, C = = 840 pf 6 6 2π π = = 2.1µ H, C = = 348 pf 6 6 2π π n

13 7- Design a Chebychev LPF with f c = 7 MHz and loss which exceed 20 db at 14 MHz. The input and output leads will be attached to devices with impedance 50 ohm, and the ripple loss is 1/2dB. Draw the circuit, showing input and outputs leads, and specify all components. 7- Kesim frekansi f c = 7 MHz ve 14 MHz teki kaybi enaz 20 db olan bir Chebychev LPF filter tasarlayin. Giris ve cikis empedanslari 50 ohm ve ripple ½ db olsun. Kaynak tarafindaki ilk eleman seri bir bobin olsun. f = 7 MHz, L= MHz, Z = 50 Ω, f f = 2, L = 0.5 db c 0 c R 0.1 L cosh cosh 0.1 GR n= = = cosh 1 ( ωω) cosh () 2 c n = acosh(sqrt(10 ^ (0.1* 20)/(10 ^ (0.1* 0.5) - 1)))/acosh(14/7) = , but we prefern= L1= = 1.94 nh, C 6 2= = 559 nf, L 6 3= = 2.89µ H 6 2π π π C4= = 559 nf, L 6 5= = 1.94µ H π π 7 10

14 3- Design a lumped-element maximally flat HPF with 3 db cutoff frequency of ω c =1.5 x 10 9 rad/s. The out of band attenuation is 10 db at ω=1 x 10 9 rad/s. Source and load resistance is 50 ohm. Be sure to place your first reactive element in a shunt (parallel) position. 2- Design a five element Butterworth LPF as shown below to have a cut-off frequency of 900 MHz and a characteristic impedance of 75 ohm. Give all the element values. The maximally flat LPF element values for N = 5 are g 1= 0.618, g 2= 1.618, g 3= 2.00, g 4= 1.618, g 5= Kesim frekansi 900 MHz olan 5 elemanli 75 ohm bir Butterworth BPF tasarlayiniz. ω = π = = Ω c rad sec, Z0 75 g = 0.618, g = 1.618, g = 2.00, g = 1.618, g = Zg g Zg L = L = = 8.2 nh, C = C = = 3.82 pf, L = = 26.5 nh ωc Z0ωc ωc

15 9- Design a highpass Butterworth filter with f c = 7 MHz and loss which exceed 20 db at 2 MHz. The input and output leads will be attached to devices with impedance 50 ohm. Draw the circuit, showing input and output leads, and specify all components. 3- Design a highpass Chebychev filter with f c = 7 MHz and loss which exceed 20 db at 2MHz. The input and output impedance is 50 ohm, and the ripple loss is 0.5 db. 3- Kesim frekansı f c = 7 MHz olup 2 MHz te en az 20 db zayıflama sağlayan bir yüksek geçiren Chebychev filtre tasarlayın. Giriş ve çıkış empedansı 50 ohm ve ripple 0.5 db olsun. 1 1 C = C = = = 284 pf (1.5963)(50)( ) L g1z0ωc π Z 50 = = = 1.04 mh (1.0967)( ) g2ωc π

16 2- Design a 5 resonator Butterworth bandpass filter with a center frequency of 2 GHz, a bandwidth of 300 MHz, and a characteristic impedance of 75 ohm. Make the first element an inductor. Draw a schematic diagram showing the complete filter and give all the element values.

17 8- Dört elemanlı alçak geçiren Butterworth filtre prototipi aşağıda verilmiştir. a) Şekildeki eleman değerlerini kullanarak kesim frekansı 10 KHz ve giriş çıkış empedansları 200 ohm olan alçak geçiren Butterwoth filtre tasarlayın. b) Şekildeki eleman değerlerini kullanarak merkez frekansı 1 MHz ve bant genişliği 20 KHz olan 4 dört elemanlı bir Butterworth bant geçiren filtre tasarlayın. Filitreyi çizin. 8- The maximally flat low-pass filter normalized element values is shown in the figure below. a) Design a four element low-pass Butterworth filter with a cut-off frequency of 10 khz, and input and output impedances of 200 Ω. L C = = 5.88 mh, L = = 2.44 mh 2π10 2π = = 60.9 nf, C = = 147 nf 2π10 (200) 2π10 (200) b) Considering the normalized LPF figure design a four element bandpass Butterworth filter with a center frequency of 1 MHz and a bandwidth of 20 KHz. Sketch the filter.

18 1- Design two maximally flat lowpass filters (1 lumped, 1 distributed) with 1 GHz cutoff frequency and a minimum of 30 db rejection at 4 GHz. Assume Zo = 50 ohm. a) Design using a lumped element ladder circuit. Choose the configuration with the most inductors! b) Convert the lumped element circuit to a distributed transmission line equivalent circuit. Use only shunt stubs for your circuit.

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