| 講演抄録/キーワード |
| 講演名 |
2017-10-26 11:00
A Signal Space Theory of Interferences Cancellation Systems ○Osamu Ichiyoshi(HNB21C) SAT2017-41 |
| 抄録 |
(和) |
昨年のJSATで筆者は干渉波相殺法の解析法として源の異なる信号の無相関性を直交性として空間表示する信号空間論を提案し、その有効性を示した。当時は三次元(希望波に加えて干渉波2つ)までは直接計算で証明していたが一般の次元(任意の数の干渉波)および付加熱雑音の扱いについては未確認であった。その後の研究により一般次元の信号空間について正接二乗加算定理、あるいはSIR逆数加算定理とも称さるるべき定理を証明し信号空間論を完成する事を得たので報告する。これは衛星通信においては隣接衛星間の干渉問題や更には現在盛んに研究されているMIMOなどを含む広汎な通信網に適用可能である。 |
| (英) |
Interferences among signals from different sources are universal problems in communication networks. In general the directions, bandwidths, modulation schemes and even numbers of the interferences are unknown at the receiver. The main receiver is set to receive the desired signal but it may also receive an unknown number of interference signals of unknown nature. In order to cancel those interferences we set a number of auxiliary receivers aimed to collect the interference signals. The auxiliary receiver outputs are adaptively weighted in amplitude and phase and are combined with the main receiver output in order to cancel the interference signals therein. The problem is; how can we control the adaptive weights without knowledge about those interference signals? One universal method is Least-Mean-Square-Error (LMSE) method which is based on the belief that the output signal after successful cancellation of the interference signals will give the minimum power output. Although this is quite a reasonable assumption the author showed a fundamental limit exists in the method, which practically deteriorates rather than improve the quality of the output signal. The author also proposed a signal space concept that can graphically show the mechanism of the problem [1].
In this paper the author reports a further study of the signal space theory. A “tangent square summation theorem” gives the basis of the signal space theory. The square tangent of a vector in the signal space corresponds to the inverse of Signal-to-Interference power ratio (SIR), hence the theorem can be restated as “Inverse SIR summation theorem”. The theorem tells the more auxiliary paths signals bring the greater SIR deterioration of the output from the canceller based on LSME algorithm. If the number of the auxiliary paths exceeds the number of the interferences signals, we will have simply a zero output. This “trivial zero output problem” is readily explained by the signal space theory. The basis theorem is applied to generalization of the theory to include the thermal noise additive to each auxiliary path receive signal.
The problem of the LMSE cancellation method can be solved by elimination of the desired signal component from the correlation measurements for control of the adaptive weights. The essence of the method lies in regeneration of the desired signal, which is the very objective of communication. The mechanism of the improvement is clearly depicted by the Signal Space theory. A few examples are given in the paper. |
| キーワード |
(和) |
信号空間 / 相関 / 無相関 / 直交 / ベクトル空間 / 内積 / MIMO / 最小二乗法 |
| (英) |
Signal Space / Correlation / Uncorrelated / Orthogonal / Vector Space / Inner Product / LMSE / Decision Feedback |
| 文献情報 |
信学技報, vol. 117, no. 261, SAT2017-41, pp. 17-22, 2017年10月. |
| 資料番号 |
SAT2017-41 |
| 発行日 |
2017-10-19 (SAT) |
| ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
著作権に ついて |
技術研究報告に掲載された論文の著作権は電子情報通信学会に帰属します.(許諾番号:10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
| PDFダウンロード |
SAT2017-41 |