Question

we need to send 254 kbps over a noiseless channel with a bandwidth of 15 khz. how many signal levels do we need

Answer 1

The level of the signal is 353.85

Step-by-step explanation:

Data rate determines the speed of the data transmission.

The data rate depends on the following factors

1. The available bandwidth
2. numbers of signal levels
3. the quality of the channel ( Means the level of noise )

The data is transmitted either from a noiseless channel or a noisy channel.

The given quality of the channel in the question is noiseless.

Use the following formula to calculate the signal levels

Bit rate = 2 x bandwidth x
`Log_(2)` ( signal level )

where

Transmitted Data = 254 kbps = 254,000 bps

Bandwidth = 15 khz = 15,000 hz

Placing values in the formula

254,000 = 2 x 15,000 x
`Log_(2)` ( L )

254,000 = 30,000 x
`Log_(2)` ( L )

254,000 / 30,000 =
`Log_(2)` ( L )

8.467 =
`Log_(2)` ( L )

L =
`2^(8.467)`

L = 353.85 levels