With reference now to the drawing and more particularly
Having described the physical arrangement of the embodiment, the mode of operation will be described. It is convenient to describe the mechanical excursion of the cone of transducer 2 in response to the electrical drive signal V1 caused by acoustic coupling from the movement of the cone of transducer 1 as X21 per unit of V1 and its mechanical excursion in response to the electrical drive signal V2 as X22 per unit of V2. The resultant excursion X2 of the cone of transducer 2 in response to the input signals Vi and Vii in the absence of circuits 16 and 17 is:
It is convenient to define a filter based on the first two transfer functions as:
H
22
=X
21
/X
22 (2)
The output signal from filter 16 with transfer characteristic H22 corresponds to the input signal Vi multiplied by transfer characteristic H22. Applying this output signal with phase reversed through summing circuit 17 creates a component of the electrical drive signal V2 applied to transducer 2 that cancels the sympathetic vibration of transducer 2 caused by the acoustic coupling from transducer 1 in enclosure 13.
The modified excursion of transducer 2, X2′, is expressed:
X
2
′=X
2
−V
i
*H
22
*X
22 (3)
Substituting equations (1a) and (2) for terms X2 and H22 respectively gives:
X
2
′=V
i
*X
21
+V
ii
*X
22
−V
i*(X21/X22)*X22 (4)
Note that the first and third terms of equation (4) cancel, leaving:
X
2
′=V
ii
*X
22 (5)
So the mechanical response of the cone of transducer 2 to the input Vi is identically 0.
Referring to
Referring to
Referring to
Referring to
Referring to
In a specific form of the invention a Texas Instruments DA708E001RFP250 DSP chip loaded with the ASCII representation of hex code in the appended text file implements the sympathetic vibration cancellation.
While the invention has been illustrated with two electroacoustical drivers, the principles of the invention may be extended to a larger plurality of drivers.
The invention has a number of advantages. In a system where a plurality of drivers in a common enclosure each receive different signals, the distortion in the acoustic output generated by any one of the drivers due to the acoustic coupling between it and the other drivers is significantly reduced. It helps maintain the excursion of the driver cones within the linear region of the transducers to facilitate reproducing sound at substantial levels without audible distortion. It is evident that those skilled in the art may now make numerous uses and modifications of and departures from the specific embodiments disclosed herein without departing from the inventive concepts. Consequently, the invention is to be construed as embracing each and every novel feature and novel combination of features present in or possessed by the apparatus and techniques herein disclosed and limited only by the spirit and scope of the appended claims.