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A CDMA system requires Eb/I0 of 10 dB. Each of the transmitters in the network transmits data at the rate of 1 Kbps with a PN chip rate of 1 Mbps. The maximum number of such users that the network can support is:
1. 20
2. 30
3. 1000
4. 100

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Correct Answer - Option 4 : 100

Concept:

Assume the system is interference limited. i.e,

\(\frac{{{E_b}}}{{{N_0} + {I_0}}} \approx \frac{{{E_b}}}{{{I_0}}}\).

The number of users per cell is:

M ≈ Gp(dB) – Eb/I0(dB)

\(\frac{{{E_b}}}{{{I_O}}} = \frac{{{G_p}}}{{M - 1}}\) 

Processing gain is defined as:

\({G_p} = \frac{{{R_{ch}}}}{R}\)

Rch: Chip rate

R: Data rate

Calculation:

The given chip rate is 1 Mbps and the data rate is 1 Kbps.

Processing gain will be 1000.

A maximum number of users is:

M – 1 = 100

M ≈ 100

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