Ambiguity function

The ambiguity function is a mathematical tool used primarily in signal processing and radar systems. It helps analyze how well a signal can be detected and distinguished from noise. Essentially, it shows how a signal is affected by time and frequency shifts, revealing the trade-offs between resolving time and frequency information. This is crucial for applications like radar and communication systems, where understanding the location and movement of objects is essential. By visualizing these relationships, the ambiguity function aids in optimizing system performance and improving detection accuracy.