For IDMA with low-cost Gaussian-approximation detection, the K-user MSE tuple forms a conservative field whose potential equals the achievable rate, so sum-rate capacity is reached independently of integration path.
IDMA vs. CDMA: Analysis and Comparison of Two Multiple Access Schemes
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Achievable Rate Region for Iterative Multi-User Detection via Low-cost Gaussian Approximation
For IDMA with low-cost Gaussian-approximation detection, the K-user MSE tuple forms a conservative field whose potential equals the achievable rate, so sum-rate capacity is reached independently of integration path.