Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A novel way to calculate the gradient of real functions of quaternion variables, typical cost functions in quaternion signal processing, is proposed. This is achieved by revisiting quaternion involutions and by simplifying the existing ℍℝ derivatives. This has allod us to express the class of quaternion least mean square (QLMS) algorithms in a more compact form while keeping the same generic form of LMS. Simulations in the prediction setting support the approach.
['Cyrus Jahanchahi', 'Clive Cheong Took', 'Danilo P. Mandic']
I am writing a research paper on a idea On gradient calculation in quaternion adaptive filtering
[{"from": "human", "value": "I am writing a research paper on a idea On gradient calculation in quaternion adaptive filtering"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A novel way to calculate the gradient of real functions of quaternion variables, typical cost functions in quaternion signal processing, is proposed. This is achieved by revisiting quaternion involutions and by simplifying the existing \u210d\u211d derivatives. This has allod us to express the class of quaternion least mean square (QLMS) algorithms in a more compact form while keeping the same generic form of LMS. Simulations in the prediction setting support the approach."}]