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Simulation results demonstrate that the asynchronous sigma-delta modulator has better performance than the synchronous one, and its quality even can be enhanced by increasing the timer resolution.
The test harness then determines iteration counts -- the number of times it has to run the empty or full branches to accumulate a time much greater than the timer resolution.
It can be comprehended from this figure that for a specific timer resolution, the SNR of the reconstructed signal cannot be enhanced by increasing the number of iterations after a certain threshold.
Ideally in this case, samples amplitudes are exactly known since they are exactly equal to one of the predefined levels, while the sampling instants are quantized at the timer resolution.
Also, it can be seen that, by increasing the timer resolution, the SNR of the reconstructed signal is increased and the SNR in the case that 1 T C = 8, 192 is about 7dB better than 1 T C = 4, 096 after 10 iterations.
This could be a message from the authors, not to use so many decimal places, since we know that the timer resolution on a typical machine is at best 10-2 s.
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SNR versus the iteration number for three different timer resolutions is illustrated in Figure 7.
Figure 7 SNR versus iteration number for three different timer resolutions.
The number of bits that are needed to encode the difference time of between samples for different timer resolutions 1 T C is shown in Table 1.
The SNR of the reconstructed signal versus the precision of the time quantizer 1 T C for different over sampling rates is shown in Figure 9. Similarly to Table 1, the number of bits that are needed to encode the difference time between samples for different timer resolutions 1 T C is shown in Table 2.
Scheduling overhead is a major limiting factor for implementing dynamic scheduling algorithms with high frequency timer-tick resolution in real time systems.
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