1. Design a third order Butterworth low pass filter using micro strip lines with Richard's Transforms and Kuroda Identities for a cutoff frequency of 2.4 GHz. Draw the final schematic in terms of normalized transmission line impedances and lengths. Simulate using ADS and show S-parameter plots to 3.5 GHz. Place Marker at 2.4 GHz.

2. Impedance match a complex load of Z_L = 25+ j15 W to a 50 W source impedance using a three element L-C matching pi-type network with one series inductor. Remember to perform conjugate matching for maximum power transfer. Determine the component values for operation at 500 MHz. Show your work by hand using the Smith Chart. Simulate using ADS and include results of S-parameters from 250 MHz to 750 MHz; Place marker at 500 MHz.

3. Determine the ABCD matrix for the matching network of problem #2. What is the transfer function of the circuit?

4. Design a bias network for an RF amplifier (common-emitter or common-base) using a BFR92 npn BJT. The transistor b_F = 92 and the bias point is VCE = 10 V, and IC = 20 mA. Let V_cc = 24 V. Show the schematic of the circuit.

5. The BFR92 transistor with common-emitter S-Parameters for VCE=10V and IC=20 mA given as:

Using the bias point specified in problem (4), design a 1GHz narrowband amplifier using a PCB make of G10 or FR4 material. Use single stub tuners for input and output matching to 50 W. What is the voltage gain of the amplifier? Please show all work using Smith.

Charts and hand calculations, and the circuit diagram. Simulate using ADS and show Sparameters between 750 MHz and 1.25 GHz. Place a marker at 1 GHz.

6. Design an L-C High Pass Chebyshev Filter with 3 dB ripple for a cut-in frequency of 330 MHz with a stop band attenuation of 18 dB at 250 MHz. The system impedance is 50 W. Show all component values. What is Q of the circuit? Show S-parameter results for the filter using ADS from 100 MHz to 700 MHz.

Need full and detailed steps for the solutions in the assignment problems.