Synthesis of electrical networks

H. Baher

Chapter 11 Approximation Methods for Commensurate Distributed Filters - all with Video Answers

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Chapter Questions

Problem 1

Design a microwave all-stub ladder Chebyshev filter with the following specifications
Passband: 0-1 $\mathrm{GHz}, 0.5 \mathrm{~dB}$ ripple
Stopband: $1.5 \mathrm{GHz}-3.5 \mathrm{GHz}$, attenuation $\geq 30 \mathrm{~dB}$
Equal terminating resistors of $50 \Omega$.

Use Kuroda's transformations to introduce UE between the stubs.

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Problem 2

Design a Chebyshev microwave filter as a cascade of UEs which meets the following specifications
Passband: $0-1.5 \mathrm{GHz}, 0.2 \mathrm{~dB}$ ripple
Stopband: $2 \mathrm{GHz}-3 \mathrm{GHz}$, attenuation $\geq 40 \mathrm{~dB}$
Equal terminating resistors of $75 \Omega$.

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Problem 3

Design an interdigital (band-pass) filter with optimum equiripple passband response to meet the following specifications:
Passband: $0.5 \mathrm{GHz}-0.9 \mathrm{GHz}, 0.5 \mathrm{~dB}$ ripple
Stopband edges at $0.2 \mathrm{GHz}$ and $1.2 \mathrm{GHz}$ attenuation $\geq 30 \mathrm{~dB}$ in both stopbands.

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Problem 4

Consider the transducer power gain of a microwave band-pass filter,
$$
\left|\mathrm{S}_{21}\right|^2=\frac{1}{1+0.1 \cos ^2 \tau \omega \cot ^2 \tau \omega}
$$

Find the realization and sketch the amplitude response for $\tau=2 n s$.

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