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1. DTW Overview

DTW (Dynamic Time Warping) is a method for measuring similarity between signals with different time scales.

Unlike transform-based methods, it directly compares signals by aligning them in time.

DTW complements transform-based methods by comparing patterns rather than analyzing signal components.

 

 

 

 

2. Principle

DTW finds the optimal alignment between two signals by allowing nonlinear shifts along the time axis.

It locally stretches or compresses the signals to minimize the overall difference between them.

 

– Illustration: time warping alignment path

 

 

 

 

3. Representation

The result of DTW is an alignment path and a distance value.

The alignment path defines how two signals are matched in time, and the distance quantifies their similarity.

 

-.Illustration: aligned signals with different timing

 

 

 

 

4. Interpretation

A smaller DTW distance indicates higher similarity between signals, even when their timing differs.

The alignment path reveals where and how the signals are temporally distorted to achieve the match.

 

– Illustration: aligned signals with different timing

 

 

 

 

5. Radar Application

In radar systems, DTW is used to compare motion patterns that vary in time.

It enables the recognition of similar behaviors, such as human movement or repetitive actions, even when they occur at different speeds.

 

 

 

 

 

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