# Design and Analysis of Stepped Impedance Microstrip Low Pass Filter Using ADS Simulation Tool for Wireless Applications

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2 International Journal of Scientific and Research Publications, Volume 3, Issue 8, August between arbitrary resistive loads, are made from a prototype lowpass design through: 1) Some frequency transformer, 2) Element normalization and Simulation of these elements by means of sections of microwave transmission line, 3) Design of a prototype low-pass filter with the desired pass band characteristics, 4) Transformation of this prototype network to the required type (low-pass, high-pass, band-pass) filter with the specified center and band-edge frequencies. 5) Realization of the network in microwave form by using sections of microwave transmission lines. Formula to calculate L K and C K The values are shown in table below C. Flow Diagram to Design a Filter Prototype element values Corresponding L and C Values g1= g7=0.445 L1=L7=2.225nH Fig 1 Design flow diagram D. Filter Specifications g2=g6=1.247 g3=g5=1.802 C2=C6=2.494pF L3=L5=9.01nH Response type Centre frequency Stop band attenuation Source and load impedance Substrate height Butterworth (or) maximally flat 10GHz -60db 50 ohm 0.63mm g4=2 C4=4pF STEP 3: By Substituting all these L and C values in the network design, we have; Dielectric constant 9.6 III. DESIGNING STEPS FOR LOW PASS FILTER IN ADS STEP.1 We choose order of the filter to be 7, N = 7. There are two responses to assign prototype values for designing. 1) Butter worth (maximally flat) filter, 2) Chebyshev filter. For Butterworth response we use the specific formula to determine prototype values. The formula is Butterworth Prototype Element Values g o = 1 g k = 2sin [(2k-1) /2n], k=1,2,..,n g n+1 = 1, for all n STEP.2: Filter Transformations from Prototype In order to design actual low pass filters, the transformations of the low pass prototype filters with normalized cut-off frequency, W c =1 and having the source and load resistances of 1ohm are made into the desired type with Required source and load impedances using frequency and impedance transformations. Fig 2 Schematic diagram of LPF using L&C values in network Fig 3 Schematic diagram of LPF with S parameters Schematic diagram of LPF using L&C in network with S- parameter. The design is being synthesized and display window is being created. Output waveform of LPF using lumped elements

3 International Journal of Scientific and Research Publications, Volume 3, Issue 8, August Z1=Z7= Z2=Z6= Z3=Z5= Z4= Step 5: LINE CALC With having the impedance and electrical length of the stub lines, the width and length of the line can be calculated using linecalc tool in schematic window as shown in Fig 5. Fig 4 Output Wave form S parameters vs Frequency This is the prototype low pass filter response where the attenuation property is not satisfied here. Hence we go for micro strip implementation. STEP 4: Filter designs beyond 500MHz are difficult to realize with discrete components because the wavelength becomes comparable with the physical filter element dimensions, resulting in various losses severely degrading the circuit performance. Thus to arrive at practical filters, the lumped component filters must be converted into distribution element realizations. In order to convert lumped components to micro strip lines of various impedances should be found out hence we go for 1) Richards Transformation 2) Kuroda Identities RICHARDS TRANSFORMATION: To accomplish the conversion from lumped and distributed circuit designs, Richards proposed a special transformation that allows open and short circuit transmission line segments to emulate the inductive and capacitive behavior of the discrete components [1]. Richards transformation allows us to replace lumped inductors with short circuit stubs and capacitors with open circuit stubs of characteristic impedance Zo= 1/ C.[1] Thus from prototype series inductance are the same and shunt capacitance is replaced by 1/ C values. Formula for Electrical Lengths Fig 5 Line Calculation Tool Thus for each inductance and capacitance line width and length is calculated using linecalc as shown in table. IMPEDANCE (OHM) ELECTRICAL LENGTH (DEGREE) WIDTH (MIL) LENGTH (MIL) Z1=Z7= Z2=Z6= Z3=Z5= Z4= Β l l = g x * R 0 / Z h Β l c = g x * Z L / R 0 After substitution the Results after Richards Transformation and Kuroda Identity as shown table below Finally the transformation from prototype to micro strip look likes; Impedance with 50 ohm not considered Impedance with 50 ohm considered Electrical lengths (Degree)

4 International Journal of Scientific and Research Publications, Volume 3, Issue 8, August Fig 6 Schematic diagram of LPF using Micro strip For the above schematic, the layout can be given as follows. FILTER IV APPLICATION OF MICROSTRIP LOW PASS Wi-Fi is a wireless LAN technology that enables laptop PC s, PDA s, and other devices to connect easily to the Internet. Technically known as IEEE a/b/g/n. Wi-Fi is less expensive and nearing the speeds of standard Ethernet and other common wire-based LAN technologies. Several Wi-Fi hot spots have been popular over the past few years. Some business charge customers a monthly fee for service, while others have begun offering it or free in an effort to increase the sales of their goods. Fig 7 Layout of LPF using Micro strip III. INFERENCE Thus we get sharpest attenuation of -60 db. using insertion loss method and cut off frequency of 9 GHz app. to 10 GHz. Hence, the filter allows to pass the frequencies less than 10GHz and rejects those frequencies more than that. S (1,1),S (2,2) = scattering matrix for return loss. S (2,1) = scattering matrix for insertion loss. V. CONCLUSION In this paper, stepped impedance micro strip low pass filter is designed. This filter provides us to achieve better harmonic suppression. This filter not only shows a superior harmonic suppression in stop-band, but also saves as much compact circuit size compared with the conventional one. This design is applied in X-band electromagnetic environments. Various steps to design a stepped impedance micro strip filter are described. The special calculator, linecalc of ADS is used for designing. The calculated filter parameters are applied to design a filter. The software platform used in this designing purpose is ADS (Advanced Design System). This software is used especially in leading industries working on MMIC s. A filter of mentioned specifications is designed. The corresponding waveforms are obtained. The range of attenuation achieved can be known from the waveform. Then the layout of the designed stepped impedance micro strip filter is obtained using the software itself. Thus, finally a stepped impedance micro strip filter whose harmonic suppression is -60db is obtained. REFERENCES [1] M.Pozar, Microwave Engineering 4 th Ed. Wiley, Ed. pp [2] Annapurna Das, Sisir K Das, Microwave Engineering Tata McGraw-Hill NewDelhi. Pp [3] Binong*,QuanyuanFeng,Shuai Yang Research and Design of X-band SIR Microstrip Filters IEEE Explorer2009. [4] ApisakWorapishet,,Kunnthphong Srisathit, Wanlop Surakamponton, Stepped Impedance Coupled Resonators For Implementation Of Parallel Coupled Microstrip Filters With Spurious Band Suppression, IEEE Trans Microwave Theory and Technique Volume 60 June [5] Bin Dong*,QuanyuanFeng,Shuai Yan, Design of X-band SIR Microstrip Filters,IEEE Explorer May 2009.

5 International Journal of Scientific and Research Publications, Volume 3, Issue 8, August AUTHORS First Author K.Rajasekaran (Correspondent Author) Assistant Professor Department Of Electronics and Communication Engineering, M.A.R College of Engineering and Technology, Telephone: Second Author J.Jayalakshmi, Department Of Electronics and Communication Engineering, Anna University Trichy . Telephone: Third Author T. Jayasankar. Assistant Professor Department Of Electronics and Communication Engineering, University College of Engineering, Anna University BIT Campus Trichy. Telephone:

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