Data Rate Formula: Finding the Right Solution

[oneamp]

I am trying to come up with a good data-rate formula for a system. The system sends out 'x' symbols per transaction. The transactions take place sequentially, but there is a delay 'z' between them. 'z' is variable and can even be pseudo-random. Also each transaction takes a time as well, but that time is constant.

I tried to derive a formula for symbols sent by a time 't' (in seconds): sent_t = ts(transactions/second) - zt, but that didn't quite work out. Where can I go from here?

Since 'z' can be random, I can either make 'z' constant for the formula, or make the formula an average data-rate...

Thank you

 

[sophiecentaur]

You seem to be talking about the effects of Phase Noise or Jitter, on error rate here. I Googled those terms and there were loads of hits. Trawl through a few of them a see if anything suits your 'level'. That could be more efficient for you, initially. You could then come back with some more specific queries.

 

[meBigGuy]

lets call the delay time Tz, the packet time Tp and the number of packets n

For convienience assume there are an equal number of packets and delays (you can delete the last Tz if you want).

Since every Tz is unique you need to sum those delays (sum)Tz (Like Tz1+Tz2... to Tzn) and add the delay for the number of packets n*Tt to get the total time.

You cannot determine how many packets fit in a time without an expression for the interpacket delay. If you know the number of packets, you can determine the total interpacket delay, but not the specific delay between any two sequential packets.

That should more you forward a bit. Post clarification if I misinterpreted what you are asking.

 

[oneamp]

Thanks both of you

 

[alphy]

for your question. I understand the importance of finding a reliable and accurate data-rate formula for your system. After reviewing your current formula, I can see that it may not account for the variable delay 'z' between transactions. In order to incorporate this variable into your formula, you may want to consider using a statistical approach.

One option could be to calculate the average delay time for 'z' and incorporate it into your formula as a constant. This would provide a more accurate representation of the data-rate over time. Alternatively, you could also use a probabilistic approach by assigning different probabilities to different values of 'z' and incorporating it into your formula as a weighted average.

Additionally, it may be helpful to consider the impact of the constant transaction time on your formula. Depending on the specific parameters of your system, this may also need to be accounted for in order to accurately calculate the data-rate.

I would recommend conducting further research and possibly consulting with other experts in the field to find the best approach for your specific system. It may also be beneficial to gather more data and conduct experiments to validate your formula and ensure its accuracy.

I wish you the best of luck in finding the right solution for your data-rate formula. Remember to always carefully consider all variables and constantly evaluate and refine your formula as needed.