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Synthesis of electrical networks

H. Baher

Chapter 10

Approximation Methods for Lumped Filt:xs 101 Introduction - all with Video Answers

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Chapter Questions

Problem 1

Design a low-pass maximally flat filter with the following specifications:
Passband: $0-1 \mathrm{MHz}$, attenuation $\leq 3 \mathrm{~dB}$
Stopband edge: $1.5 \mathrm{MHz}$, attenuation $\geq 40 \mathrm{~dB}$
Equal terminating resistors of $50 \Omega$.

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Problem 2

Design a low-pass Chebyshev filter with the following specifications:
Passband: $0-0.5 \mathrm{MHz}, 0.2 \mathrm{~dB}$ ripple
Stopband edge: $1 \mathrm{MHz}$, attenuation $\geq 50 \mathrm{~dB}$
Equal terminating resistors of $75 \Omega$.

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03:06

Problem 3

Design a band-pass maximally flat filter with the following specifications:
Passband: $10 \mathrm{kHz}-15 \mathrm{kHz}$, attenuation $\leq 3 \mathrm{~dB}$
Stopband edges at $9 \mathrm{kHz}$ and $17 \mathrm{kHz}$, minimum attenuation of $30 \mathrm{~dB}$ in both stopbands
Equal terminating resistors of $600 \Omega$.

Narayan Hari
Narayan Hari
Numerade Educator

Problem 4

Design a band-pass Chebyshev filter with the following specifications:
Passband: $10 \mathrm{kHz}-15 \mathrm{kHz}, 0.28 \mathrm{~dB}$ ripple
Stopband edges at $8.5 \mathrm{kHz}$ and $17 \mathrm{kHz}$, minimum attenuation of $40 \mathrm{~dB}$ in both stopbands
Equal terminating resistors of $50 \Omega$.

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Problem 5

Calculate the degrees of elliptic filters which would meet the same specifications of Problems 10.1 to 10.4 .

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Problem 6

Design a maximally flat delay (Bessel) low-pass prototype filter with a maximum variation of group-delay in the passband of 1 per cent. The passband edge is defined at $\omega=1$. Also obtain the ladder filter which meets the same specifications but employing the equidistant linear phase polynomial. Compare the degrees of the two networks. In each case, equal terminating resistors of $1 \Omega$ are assumed.

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