trace_reconstruct: Reconstruct More Granular Trace Based on Average Trace.
In carlonlv/DataCenterSim: Simulations for Data Centers

Reconstruct a more granular trace of frequency new_sample_freq based on Nyquist–Shannon sampling theorem with assumption that the frequency of the original trace must not contain frequencies higher than 1/2 of the new_sample_freq.

trace_reconstruct(
  avg_trace,
  max_trace = NULL,
  orig_rate,
  new_rate,
  h = new_rate,
  d
)

`avg_trace`	A numeric vector that represents the average trace taken in a fixed sampled rate.
`max_trace`	A numeric vector that represents the maximum trace with sample length as `max_trace` and same sampled rate. Used for fine tuning of the generated trace, or `NULL`. Default value is `NULL`.
`orig_rate`	A numeric positive integer that is typicall smaller that the frequency of `avg_trace` and `max_trace`.
`new_rate`	A numeric positive integer that is typicall smaller that the frequency of `avg_trace` and `max_trace`.
`h`	A numeric value representing the granularity for numerical differentiation, (f(x+h) - f(x)) / h, must be smaller or equal to the value of `new_freq`. Default value is `new_rate`.
`d`	A numeric integer representing the distance of nearest neighbourhood to take into account in sinc function. Passed into function `signal::resample`.