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# Minimum bandwidth requirements using Nyquist citeria

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1st problem:

A digital signaling system is required to operate at 9600 bps. If a signaling element encodes a 8-bit word, what is the minimum required bandwidth of the channel?

2nd problem:

A given modem represents eight bits with each signaling element. How many different signaling elements are required? What would be the minimum channel bandwidth required to support 56 kbps?

3rd problem:

Consider a communications channel with a passband of 1700 Hz to 15 kHz. A modem will be connected to this communications channel and the modem will operate with a signaling rate that is forty percent (.4) the maximum allowable signaling rate for this communications channel. The modem uses the modulation technique of 128-PSK. What is the data rate (in bits per second) of this modem?

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#### Solution Preview

A number of problems using Nyqusit criteria to determine the minimum bandwidth requirements of digital communications channels. The following problems are addressed in the attachment

1st problem:

A digital signaling system is required to ...

#### Solution Summary

A number of problems using Nyqusit criteria to determine the minimum bandwidth requirements of digital communications channels

Problem 1:

A digital signaling system is required to operate at 9600 bps. If a signaling element encodes a 8-bit word, what is the minimum required bandwidth of the channel?

Problem 2:

A given modem represents eight bits with each signaling element. How many different signaling elements are required? What would be the minimum channel bandwidth required to support 56 kbps?

Problem 3:

Consider a communications channel with a passband of 1700 Hz to 15 kHz. A modem will be connected to this communications channel and the modem will operate with a signaling rate that is forty percent (.4) the maximum allowable signaling rate for this communications channel. The modem uses the modulation technique of 128-PSK. What is the data rate (in bits per second) of this modem?

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