Output SIR distribution of optimum combining in Rayleigh fading channels with channel estimation errors
Bibliographic record
Abstract
This paper investigates the effect of imperfect channel estimates on the distribution of signal to interference ratio (SIR) at the output of the optimum combiner for space diversity reception with multiple interferers in a flat Rayleigh fading environment. Channel estimation errors result in flawed optimum combiner weights degrading the system performance. We consider interference-limited systems in which the number of interferers is no less than the number of antenna elements. It is assumed that the channel estimation errors are circularly symmetric Gaussian distributed, and the interferers have equal powers. The main contribution of the paper is applying multivariate statistical analysis to derive an exact closed-form expression for the probability density function of the output SIR. The analytical result is a useful tool to find the impact of imperfect channel estimation on several measures of performance such as average SIR, outage probability and average bit error probability. The analytical expression is verified by Monte Carlo simulations.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".