Process in Week4

In the approach to the end of the project we have continued to make good progress, this week we have achieved the following:

1. The Sustainability Report has been submitted.

2. The code for simulating the capacity performance of two channels is completed.

The channel capacity of a flat fading channel with no dominant propagation along a line of sight can be expressed like this:

Since the channel gain  has a Rayleigh distribution with pdf:

Then by the transformation theorem for single random variables:

Then the channel capacity can be expressed like this:


Using these equations, we can produce a figure of the maximum bandwidth efficiency that the signals can achieve in the flat Rayleigh fading channel as a function of the mean SNR during the transmission.
The plot of the channel capacity per Hz of two channels is shown below:


3. The figures that were obtained in previous weeks were analysed and a conclusion of the analysis was formed.
  a). As the signal-to-noise ratio of the two signals increases, the bit error rate decreases in the AWGN channel.

  b). Under the same bit error rate, bipolar NRZ has strong anti-interference ability.

  c). When the signal's anti-interference ability is too poor, the error conditions of the two are basically the same.

  d). In both channels, as the signal to noise ratio is increased, the error rate is reduced.

  e). Under the same signal-to-noise ratio, the error rate of the Rayleigh channel is much greater than that of the AWGN channel, and the attenuation of the Rayleigh channel is also slower.

  f). When the bandwidth remains the same, as the signal-to-noise ratio increases, the capacity of both channels increases.

  g). Under the same signal-to-noise ratio, the channel capacity of the Rayleigh channel is smaller than that of the AWGN channel. Therefore, under the same signal-to-noise ratio, the information transmission capability of the Rayleigh channel is weaker than that of the AWGN channel.

  h). In the end, we can conclude that the AWGN channel is more effective and reliable than the Rayleigh channel.


4. We were then at a point where a poster could be created to display the data we had produced.

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