## 1aSP5. Blind deconvolution based on common zeros of the z transforms of two observed signals.

### Session: Monday Morning, December 2

### Time: 11:15

**Author: Ken'ichi Furuya**

**Location: Speech and Acoust. Lab., NTT Human Interface Labs., 3-9-11 Midori-cho Musashino-shi, Tokyo, 180 Japan**

**Author: Yutaka Kaneda**

**Location: Speech and Acoust. Lab., NTT Human Interface Labs., 3-9-11 Midori-cho Musashino-shi, Tokyo, 180 Japan**

**Abstract:**

A new method is proposed for recovering an unknown source signal, which is
observed through two unknown channels characterized by finite impulse response
filters. Unlike conventional blind deconvolution methods, this method can
recover not only the spectrum of the signal but also the phase characteristics.
This method is based on a cost function that comes from a filter arrangement
with a double-layer structure. The cost function is minimized when the common
zeros of the z transforms of the two observed signals are extracted. If there
are no common zeros between the system transfer functions of the two unknown
channels, the common zeros of the observed signals represent the source signal
and the noncommon zeros represent the characteristics of the two channels.
Therefore, the source signal can be recovered by separating the common zeros
from the other zeros, that is, by minimizing the cost function. Adaptive filters
are used for this procedure. Computer simulations using room transfer functions
as the two unknown channels demonstrate the effectiveness of this method.

ASA 132nd meeting - Hawaii, December 1996