Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The generalized sampling theorem states that any analogue signal whose spectrum is limited to 1/T can be exactly recovered from N sequences of samples taken at a rate 2/NT and all having a different sampling phase. When N=2, the exact interpolation formula can be derived quite easily. The ideal interpolation filters have infinite impulse responses.  addresses the question of recovering from the 2 initial sequences, any other sequence taken at the same rate 1/T and with a different sampling phase. The design problem is dealt with for finite length filters and the criterion is the minimization of the mean squared interpolation error. >
['Luc Vandendorpe', 'Paul Delogne', 'B. Maison', 'Laurent Cuvelier']
I am writing a research paper on a idea MMSE design of polyphase components for generalized interpolators
[{"from": "human", "value": "I am writing a research paper on a idea MMSE design of polyphase components for generalized interpolators"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The generalized sampling theorem states that any analogue signal whose spectrum is limited to 1/T can be exactly recovered from N sequences of samples taken at a rate 2/NT and all having a different sampling phase. When N=2, the exact interpolation formula can be derived quite easily. The ideal interpolation filters have infinite impulse responses.  addresses the question of recovering from the 2 initial sequences, any other sequence taken at the same rate 1/T and with a different sampling phase. The design problem is dealt with for finite length filters and the criterion is the minimization of the mean squared interpolation error. >"}]