Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a multiterminal source coding problem in which a random source signal is estimated from encoded versions of multiple noisy observations. Each encoded version, hover, minimizes a local distortion measure, defined only with respect to the distribution of the corresponding noisy observation.  denote the form of encoding as mismatched multiterminal encoding (MME). derive a single letter expression for the minimal distortion under MME of an i.i.d source.  evaluate this expression for the case of a Gaussian source observed through multiple parallel AWGN channels and quadratic distortion and in the case of a nonuniform binary i.i.d source observed through multiple binary symmetric channels under Hamming distortion. For the case of a Gaussian source,  show that there is no loss of performance compared to the indirect source coding distortion-rate function due to MME using a centralized encoder and small code rates, whereas distributed encoding achieves distortion strictly larger then in an optimal multiterminal source coding scheme. For the case of a binary source,  show that even with a single observation, the distortion-rate function under MME is strictly larger than that of indirect source coding.
['Alon Kipnis', 'Stefano Rini', 'Andrea J. Goldsmith']
I am writing a research paper on a idea Mismatched Multiterminal Source Coding
[{"from": "human", "value": "I am writing a research paper on a idea Mismatched Multiterminal Source Coding"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a multiterminal source coding problem in which a random source signal is estimated from encoded versions of multiple noisy observations. Each encoded version, hover, minimizes a local distortion measure, defined only with respect to the distribution of the corresponding noisy observation.  denote the form of encoding as mismatched multiterminal encoding (MME). derive a single letter expression for the minimal distortion under MME of an i.i.d source.  evaluate this expression for the case of a Gaussian source observed through multiple parallel AWGN channels and quadratic distortion and in the case of a nonuniform binary i.i.d source observed through multiple binary symmetric channels under Hamming distortion. For the case of a Gaussian source,  show that there is no loss of performance compared to the indirect source coding distortion-rate function due to MME using a centralized encoder and small code rates, whereas distributed encoding achieves distortion strictly larger then in an optimal multiterminal source coding scheme. For the case of a binary source,  show that even with a single observation, the distortion-rate function under MME is strictly larger than that of indirect source coding."}]