Transfer problem (maximum number of Mbit/s)

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The discussion centers on calculating the maximum transfer rate of a 900 kHz spectrum divided into 225 channels, each capable of transferring 32,000 bits per second, resulting in a total of 7.2 Mbit/s. It highlights that achieving a transfer rate of 24 Mbit/s is theoretically possible if the signal-to-noise ratio (SNR) exceeds 83 dB across all channels, without interference. However, practical challenges such as implementation losses and real-world conditions may hinder this capability. The conversation emphasizes the importance of SNR in determining channel capacity according to the Shannon-Hartley theorem. Overall, while the calculations are correct, achieving higher rates is constrained by practical limitations.
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I have a spectrum of 900khz that is divided into channels of 4kHz each. That makes 225 channels. Then each channel can transfer 4000 symbols/sec. I will be using the QAM-256 and that allows 8 bits/symbol. That means each channel can transfer 4000*8= 32e3 bit/s. And the channels in total makes 32e3*225=7.2e6 That makes the transfer rate 7.2 Mbit/s. Is that correct? Is it impossible to go up to 24 Mbit with my current settings or am I thinking things wrong here??

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You are missing the effect of Signal-to-Noise ratio on the capacity of your channel. You can theoretically go to 24 Mbit/s if you have an SNR of > 83 dB on all your 4 kHz channels, and no interference between them... (the practical issues are significant!)

See: http://en.wikipedia.org/wiki/Shannon–Hartley_theorem

... of course, this is the best you could do if there were no other implementation losses, etc.
 
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