Question

The following standard set of specifications are to be met by the transmit band-pass filter employed in a codec (coder-decoder) for PCM telephony, Passband: $300-3200 \mathrm{~Hz}, 0.25 \mathrm{~dB}$ ripple Stopband edge frequencies: $100 \mathrm{~Hz}$ and $4600 \mathrm{~Hz}$ with $32 \mathrm{~dB}$ minimum attenuation. Design a Chebyshev digital filter which meets the above specifications. Use a lumped prototype function.

   The following standard set of specifications are to be met by the transmit band-pass filter employed in a codec (coder-decoder) for PCM telephony,
Passband: $300-3200 \mathrm{~Hz}, 0.25 \mathrm{~dB}$ ripple
Stopband edge frequencies: $100 \mathrm{~Hz}$ and $4600 \mathrm{~Hz}$ with $32 \mathrm{~dB}$ minimum attenuation.

Design a Chebyshev digital filter which meets the above specifications. Use a lumped prototype function.

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Synthesis of electrical networks

Synthesis of electrical networks

H. Baher 1st Edition

Chapter 12, Problem 3

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Step 1

The normalized passband frequencies are calculated as follows: $$\omega_{p1} = \frac{2\pi \times 300}{8000} = 0.2356$$ $$\omega_{p2} = \frac{2\pi \times 3200}{8000} = 0.8028$$ The normalized stopband frequencies are: $$\omega_{s1} = \frac{2\pi \times 100}{8000} = Show more…

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The following standard set of specifications are to be met by the transmit band-pass filter employed in a codec (coder-decoder) for PCM telephony, Passband: $300-3200 \mathrm{~Hz}, 0.25 \mathrm{~dB}$ ripple Stopband edge frequencies: $100 \mathrm{~Hz}$ and $4600 \mathrm{~Hz}$ with $32 \mathrm{~dB}$ minimum attenuation. Design a Chebyshev digital filter which meets the above specifications. Use a lumped prototype function.

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