Separating Horn Output from Base Leakage

Note that Fig.3.16 indicates the existence of fixed and angle-dependent components in the measured impulse responses. An iterative algorithm was developed to model the two components separately [477].

Let denote the number of impulse-response samples in each measured impulse response,and let denote the number of angles (-180:15:180) at which impulse-response measurements were taken. We denote the impulse-response matrix by . Each column of is an impulse response at some horn angle. (Figure 3.16 can be interpreted as a plot of the transpose of .)

We model as

where is the arrival-time delay, in samples, for the horn output in the th row (the delays clearly visible in Fig.3.16 as a function of angle). These arrival times are estimated as the location of the peak in the cross-correlation between the th impulse response and the same impulse response after converting it to