I would have guessed that the curve would peak near an elevation of 0 degrees, which it did, but then slope down steadily as the elevation increased or decreased. Now that I've developed approximated polynomials describing the relationship of amplitude to azimuth and elevation, I'm ready to analyze the time delays relative to direction. Upon closer inspection, I realized that the impulse response actually consisted of a cluster of spikes which may vary in relative amplitude as you change azimuth and elevation. A typical impulse response and its close-up may be found as Figure 4. There are usually three main spikes, always approximately six samples apart.
Smaller spikes follow, but they are consistantly smaller in magnitude.
I first tried correlating the impulse responses with three impulses, each six samples apart. The resulting plots of time delay versus azimuth yielded choppy results at times, probably due to further inconsistencies in the three-spike phenomenon. A couple examples of time delay versus azimuth may be found in Figure 5. After pondering this relationship of time delay in relation to azimuth, I realized that there may be an easier, geometrical approach to solve this problem. Knowing that the propagation time of sound is proportional to the path length or distance it travels, a mathematical method to calculating the necessary delay time was uncovered.