Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Given a set of wireless links, a fundamental problem is to find the largest subset that can transmit simultaneously, within the SINR model of interference. Significant progress on this problem has been made in recent years. In this note,  study the problem in the setting where  are given a fixed set of arbitrary pors each sender must use, and an arbitrary gain matrix defining how signals fade. This variation of the problem appears immune to most algorithmic approaches studied in the literature. Indeed it is very hard to approximate since it generalizes the max independent set problem. Here,  propose a simple semi-definite programming approach to the problem that yields constant factor approximation, if the optimal solution is strictly larger than half of the input size.
['Magnús M. Halldórsson', 'Pradipta Mitra']
I am writing a research paper on a idea Wireless capacity with arbitrary gain matrix
[{"from": "human", "value": "I am writing a research paper on a idea Wireless capacity with arbitrary gain matrix"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Given a set of wireless links, a fundamental problem is to find the largest subset that can transmit simultaneously, within the SINR model of interference. Significant progress on this problem has been made in recent years. In this note,  study the problem in the setting where  are given a fixed set of arbitrary pors each sender must use, and an arbitrary gain matrix defining how signals fade. This variation of the problem appears immune to most algorithmic approaches studied in the literature. Indeed it is very hard to approximate since it generalizes the max independent set problem. Here,  propose a simple semi-definite programming approach to the problem that yields constant factor approximation, if the optimal solution is strictly larger than half of the input size."}]