Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  demonstrate relationships beten the convolutional and unitary forms of certain trigonometric transform matrices.  then use the new relationships to derive forms of the symmetric convolution-multiplication property based on unitary rather than convolutional forms of the transform matrices.
['Thomas M. Foltz', 'Byron M. Welsh', 'Courtney D. Holmberg']
I am writing a research paper on a idea Symmetric convolution using unitary transform matrices
[{"from": "human", "value": "I am writing a research paper on a idea Symmetric convolution using unitary transform matrices"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  demonstrate relationships beten the convolutional and unitary forms of certain trigonometric transform matrices.  then use the new relationships to derive forms of the symmetric convolution-multiplication property based on unitary rather than convolutional forms of the transform matrices."}]