Presentation 2017-10-26
A Signal Space Theory of Interferences Cancellation Systems
Osamu Ichiyoshi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) 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.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Signal Space / Correlation / Uncorrelated / Orthogonal / Vector Space / Inner Product / LMSE / Decision Feedback
Paper # SAT2017-41
Date of Issue 2017-10-19 (SAT)

Conference Information
Committee SAT
Conference Date 2017/10/26(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Okinawa Cellular Telephone Company
Topics (in Japanese) (See Japanese page)
Topics (in English) Satellite communications, etc.
Chair Toshinori Susuki(Tohoku Gakuin Univ.)
Vice Chair Hiroyuki Tsuji(NICT) / Fumihiro Yamashita(NTT)
Secretary Hiroyuki Tsuji(KDDI Reesarch) / Fumihiro Yamashita(NICT)
Assistant

Paper Information
Registration To Technical Committee on Satellite Telecommunications
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Signal Space Theory of Interferences Cancellation Systems
Sub Title (in English)
Keyword(1) Signal Space
Keyword(2) Correlation
Keyword(3) Uncorrelated
Keyword(4) Orthogonal
Keyword(5) Vector Space
Keyword(6) Inner Product
Keyword(7) LMSE
Keyword(8) Decision Feedback
1st Author's Name Osamu Ichiyoshi
1st Author's Affiliation Human Network for Better 21 Century(HNB21C)
Date 2017-10-26
Paper # SAT2017-41
Volume (vol) vol.117
Number (no) SAT-261
Page pp.pp.17-22(SAT),
#Pages 6
Date of Issue 2017-10-19 (SAT)