Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A real-time coding system with lookahead consists of a memoryless source, a memoryless channel, an encoder, which encodes the source symbols sequentially with knowledge of future source symbols up to a fixed finite lookahead  d  , with or without feedback of the past channel output symbols and a decoder, which sequentially constructs the source symbols using the channel output. The objective is to minimize the expected per-symbol distortion. For a fixed finite lookahead  d  ≥ 1,  invoke the theory of controlled Markov chains to obtain an average cost optimality equation (ACOE), the solution of which, denoted by  D ( d ), is the minimum expected per-symbol distortion. With increasing  d ,  D ( d ) bridges the gap beten causal encoding,  d =0, where symbol-by-symbol encoding-decoding is optimal and the infinite lookahead case,  d =∞, where Shannon Theoretic arguments show that separation is optimal.  extend the analysis to a system with finite-state decoders, with or without noise-free feedback. For a Bernoulli source and binary symmetric channel, under Hamming loss,  compute the optimal distortion for various source and channel parameters, and thus obtain computable bounds on  D ( d ).  also identify regions of source and channel parameters where symbol-by-symbol encoding-decoding is suboptimal. Finally,  demonstrate the wide applicability of our approach by applying it in additional coding scenarios, such as the case where the sequential decoder can take cost-constrained actions affecting the quality or availability of side information about the source.
['Himanshu Asnani', 'Tsachy Weissman']
I am writing a research paper on a idea Real-Time Coding With Limited Lookahead
[{"from": "human", "value": "I am writing a research paper on a idea Real-Time Coding With Limited Lookahead"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A real-time coding system with lookahead consists of a memoryless source, a memoryless channel, an encoder, which encodes the source symbols sequentially with knowledge of future source symbols up to a fixed finite lookahead  d  , with or without feedback of the past channel output symbols and a decoder, which sequentially constructs the source symbols using the channel output. The objective is to minimize the expected per-symbol distortion. For a fixed finite lookahead  d  \u2265 1,  invoke the theory of controlled Markov chains to obtain an average cost optimality equation (ACOE), the solution of which, denoted by  D ( d ), is the minimum expected per-symbol distortion. With increasing  d ,  D ( d ) bridges the gap beten causal encoding,  d =0, where symbol-by-symbol encoding-decoding is optimal and the infinite lookahead case,  d =\u221e, where Shannon Theoretic arguments show that separation is optimal.  extend the analysis to a system with finite-state decoders, with or without noise-free feedback. For a Bernoulli source and binary symmetric channel, under Hamming loss,  compute the optimal distortion for various source and channel parameters, and thus obtain computable bounds on  D ( d ).  also identify regions of source and channel parameters where symbol-by-symbol encoding-decoding is suboptimal. Finally,  demonstrate the wide applicability of our approach by applying it in additional coding scenarios, such as the case where the sequential decoder can take cost-constrained actions affecting the quality or availability of side information about the source."}]