Saddlepoint approximations of lower and upper bounds to the error probability in channel coding

Name: Work Video:
Duration: 3 min 30 s
Description: Saddlepoint approximations of the meta-converse and random-coding union bounds are derived. These bounds accurately characterize the channel coding minimum error probability for symmetric memoryless channels in a wide range of system parameters. The proposed approximations are simple to compute and yield a unified analysis of both hypothesis-testing lower bounds and random-coding upper bounds.
Josep Font‐Segura; Gonzalo Vazquez-Vilar; Alfonso García Martínez; Albert Guillén i Fàbregas; Alejandro Lancho
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'abstract_inverted_index': {'Saddlepoint': [0], 'approximations': [1, 34], 'of': [2, 29, 44], 'the': [3, 15], 'meta-converse': [4], 'and': [5, 39, 49], 'random-coding': [6, 50], 'union': [7], 'bounds': [8, 12, 48], 'are': [9, 35], 'derived.': [10], 'These': [11], 'accurately': [13], 'characterize': [14], 'channel': [16], 'coding': [17], 'minimum': [18], 'error': [19], 'probability': [20], 'for': [21], 'symmetric': [22], 'memoryless': [23], 'channels': [24], 'in': [25], 'a': [26, 41], 'wide': [27], 'range': [28], 'system': [30], 'parameters.': [31], 'The': [32], 'proposed': [33], 'simple': [36], 'to': [37], 'compute': [38], 'yield': [40], 'unified': [42], 'analysis': [43], 'both': [45], 'hypothesis-testing': [46], 'lower': [47], 'upper': [51], 'bounds.': [52]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2804347328', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 6}, {'year': 2022, 'cited_by_count': 5}, {'year': 2021, 'cited_by_count': 3}, {'year': 2020, 'cited_by_count': 6}, {'year': 2019, 'cited_by_count': 9}, {'year': 2018, 'cited_by_count': 3}], 'updated_date': '2024-12-14T08:25:48.328409', 'created_date': '2018-06-01'}
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