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Articles - CCRMA - Stanford University

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Implementation<br />

Let hij(n) = impulse response from source j to ear i.<br />

Then the output is given by six convolutions:<br />

y1(n) = (s1∗h11)(n)+(s2∗h12)(n)+(s3∗h13)(n)<br />

y2(n) = (s1∗h21)(n)+(s2∗h22)(n)+(s3∗h23)(n)<br />

• For small n, filters hij(n) are sparse<br />

• Tapped Delay Line (TDL) a natural choice<br />

Transfer-function matrix:<br />

<br />

Y1(z) H11(z) H12(z) H13(z)<br />

=<br />

Y2(z) H21(z) H22(z) H23(z)<br />

⎡<br />

⎣<br />

3<br />

S1(z)<br />

S2(z)<br />

S3(z)<br />

⎤<br />

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