spectrum, propagation: 3GPP channel realizations depend on the order in which links are first used
In working on non-zero propagation delay insertion to 5G NR, I hit upon the following issue, which makes it more difficult to compare results between zero-delay simulations and non-zero delay simulations.
The issue is that 3GPP channel fading realizations are assigned upon first use, and if some event perturbation changes the first use slightly, the results can shift dramatically even though, conceptually, nothing has changed (or changed much) about the scenario.
Claude isolated this problem and wrote up the following, which I reviewed and can confirm. I think that fixing it will aid in future reproducibility/debugging, but it will change existing simulation results (multi-UE scenarios) across releases (although they are just stream differences).
## Summary
`ThreeGppChannelModel` draws every link's fading realization (large-scale
parameters, cluster delays and powers, angles, ray shuffles, XPR and
initial phases) from four random variables shared by all links
(`m_normalRv`, `m_uniformRv`, `m_uniformRvShuffle`, `m_uniformRvDoppler`).
The draws for a link happen in `GetNewChannel()` the first time that link
is requested. The realization a link ends up with therefore depends on how
many draws other links consumed before it, i.e. on the order in which the
links are first used during the simulation. `ThreeGppChannelConditionModel`
has the same structure for its LOS/NLOS draw (`m_uniformVar`).
A change that only alters event timing, with the same topology, seed and
run number, can reorder the first uses and silently hand every link a
different realization. The realizations are equally valid statistically,
so this is a reproducibility problem rather than a modeling error, but it
defeats any before/after comparison whose radio-level results are expected
to be unchanged.
## How it was found
In the 5G-LENA `nr` module, work on non-zero propagation delay compares a
run without a delay model against the same run with a distance-based
delay (`ConstantSpeedPropagationDelayModel`). With two UEs, the first
downlink control burst is a broadcast: at zero delay its two receptions
are scheduled at the same timestamp and execute in receiver insertion
order (node 1, then node 2); with the delay model they execute in
distance order (node 2 at 8.835 us, node 1 at 9.194 us). Both links then
consume the shared draws in the opposite order and every link's gain
changes by several dB in both directions (for example the low-latency
UE's two carriers moved from -72.98 / -75.37 dBm to -78.52 / -73.37 dBm),
which flipped an RSRP-driven carrier switch and collapsed a saturated
flow's throughput. A uniform delay preserves the order and reproduces the
zero-delay results bit-for-bit, and the effect is the same at every
propagation speed including c, where the differential delay is a few
nanoseconds: only the order matters, not the magnitude.
The same mechanism affects any timing change in a multi-link scenario
(a scheduler change, a different measurement period, an added
transmission), not only propagation delay.
## Reproducer (no simulation events needed)
```cpp
// Three nodes with ThreeGpp mobility/antennas; one ThreeGppChannelModel.
// Order 1: link (a,b) first, then (a,c).
auto hAB1 = model->GetChannel(a, b, antA, antB);
auto hAC1 = model->GetChannel(a, c, antA, antC);
// Fresh model, same seed/run. Order 2: (a,c) first, then (a,b).
auto hAC2 = model2->GetChannel(a, c, antA, antC);
auto hAB2 = model2->GetChannel(a, b, antA, antB);
// hAB1 != hAB2 and hAC1 != hAC2 (element-wise), although topology, seed
// and run are identical.
```
The equivalent statement for `ThreeGppChannelConditionModel`: calling
`GetChannelCondition()` for two pairs in either order can give each pair
the other's LOS draw.
## Why it matters
- Any exact before/after comparison over a multi-link 3GPP scenario is
only valid if the first-use order is unchanged, which nothing enforces
and nothing reports.
- Bit-exact regression tests over 3GPP channels are fragile against
unrelated timing changes, and a failure looks like a modeling
regression rather than a re-roll.
- The channel condition variant can flip a link between LOS and NLOS,
which is a tens-of-dB change, from a timing change alone.
## Proposed fix (sketch)
Make each link's draws come from a stream derived from the link's
identity instead of from generators shared across links, so that the
realization depends on topology, seed and run only.
1. In `ThreeGppChannelModel`, keep the per-link random variables in the
per-link state (`ThreeGppChannelParams` already exists per node pair
and carries `m_generatedTime`). On first use of a link, create its
normal, uniform and shuffle variables and set their streams to
`Derive(base, key, i)`, where `key` is the reciprocal node-pair key
the model already computes (`GetKey(a, b)`) and `i` selects the
variable. `GetNewChannel()` and the channel-parameter generation then
draw from the link's own variables.
2. `Derive()` maps `(base, key, i)` into the deterministic stream range.
`RandomVariableStream::SetStream(s)` uses stream index `2^63 + s`;
the automatic assigner uses the first `2^63` indices, so any `s` in
`[0, 2^63)` is free of automatic collisions. To stay clear of small
explicitly assigned indices from other models' `AssignStreams`, fold
a 64-bit hash of `(base, key, i)` into `[2^62, 2^63)`. Collisions
between links are then negligible and every index is an independent
MRG32k3a stream, so no extra state is shared.
3. `base` comes from `AssignStreams(stream)` when the user calls it; if
not called, take one automatic index at construction as the base so
that the model still participates in the run-to-run variation via
`RngRun` and consumes a fixed number of automatic indices (one
instead of four).
4. Apply the same pattern to `ThreeGppChannelConditionModel` using its
`GetKey(a, b)` for the LOS draw and the O2I draws, and to
`ThreeGppPropagationLossModel::GetShadowing()`, which draws each
pair's shadowing on first use (and on the correlated update after
movement) from one shared normal variable keyed by the same pair.
All three models must change together for a fixed topology to be
order-invariant; fixing the channel model alone leaves the LOS state
and the shadowing value order-dependent.
5. Add a test that generates channels for several links in two different
orders and asserts element-wise equality, and the same for channel
conditions.
What this does not change: realizations still depend on node IDs and
therefore on node creation order, as every ns-3 result does. The new
property is invariance to event order for a fixed topology.
## Compatibility
The change alters the realizations of every existing 3GPP-channel run,
so tests that pin expected values (spectrum, propagation, lte, nr
downstream) need their expectations regenerated. If a silent change of
results is not acceptable, a boolean attribute (for example
`PerLinkStreams`, default false for one release, then true) keeps the
current behavior selectable; the test above runs with the attribute set.
## Workarounds available today
- Use a uniform delay, a single link per channel instance, or a channel
model without shared-stream fading when an exact radio-level
comparison is required.
- Pre-generate all links in a fixed order before `Simulator::Run()`, for
example by requesting `GetChannel()` / `GetChannelCondition()` for
every pair in device order from a helper. This gives event-order
invariance without touching the model, at the cost of generating
channels for pairs that may never communicate.
issue
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