Dynamic Time Warping (DTW) Algorithm: A Dynamic Programming Approach
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The Dynamic Time Warping (DTW) algorithm is a dynamic programming-based technique designed to solve matching problems when speakers' utterance lengths and speaking rates vary across different time segments. The algorithm operates by constructing a cost matrix to measure similarities between two speech signals, then computes an optimal warping path through dynamic programming recurrence relations. Key implementation steps involve calculating local distances (typically Euclidean distance between feature vectors), building a cumulative cost matrix with constraints to prevent excessive warping, and backtracking to extract the optimal alignment path. DTW finds significant applications in speech recognition (for template matching), voiceprint identification, and audio sequence alignment, providing robust solutions for handling temporal variations through its flexible time-normalization approach.
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