I was watching the Fleet Week display by the Blue Angels yesterday and we were talking about if you could determine where an aircraft was based on the sounds you were hearing from the engine.
Say we have an aircraft at some unknown position flying at a constant linear velocity. If the engine is emitting sound at a constant frequency and as soon as we start hearing the engine we start recording the sound. Then given just that audio let’s try and determine how far away the aircraft is and how fast it’s traveling. Here’s a generated sample recording of a source starting
315.914 meters away and traveling at
214 meters per second in an unknown direction.
First let’s make a simplification. We can rotate our frame of reference such that the aircraft is traveling along the x-axis from some unknown starting point. If we look from above the situation looks like this.
When working with...
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