Abstract: A system and method for automatic differentiation are disclosed. The system and method provide automatic differentiation (AD) that accurately supports functions whose domains and/or ranges are functions. The system and method advantageously enable AD that is completely general and which can be applied in an unrestricted fashion to correctly compute the derivative of all programs that compute differentiable mathematical functions. This includes application to functions whose domain and/or ranges include the entire space of data types supported by programming languages, including not only aggregates but also functions. Moreover, the system and method advantageously remedy an insidious bug that would otherwise lead to incorrect results.

Abstract: An apparatus and method for use in treating tinnitus, employs a sound processing unit, a tactile unit, and an interface therebetween. The tactile unit comprises an array of stimulators each of which can be independently actuated to apply a tactile stimulus to a subject, and an input for receiving a plurality of actuation signals from the interface and directing individual actuation signals to individual stimulators. The sound processing unit receives an audio signal at an input, analyses the signal with a digital signal processor to generate the actuation signals which are representative of the audio signal, and provides the plurality of actuation signals to the interface. In a preferred embodiment the digital signal processor divides the audio signal into a series of frames in the time domain, performs a transform on each frame to generate a set of coefficients representing said frame, and maps the set of coefficients to a set of actuation signals to be applied to the array.

Abstract: An apparatus and method for use in treating tinnitus, employs a sound processing unit, a tactile unit, and an interface therebetween. The tactile unit comprises an array of stimulators each of which can be independently actuated to apply a tactile stimulus to a subject, and an input for receiving a plurality of actuation signals from the interface and directing individual actuation signals to individual stimulators. The sound processing unit receives an audio signal at an input, analyses the signal with a digital signal processor to generate the actuation signals which are representative of the audio signal, and provides the plurality of actuation signals to the interface. In a preferred embodiment the digital signal processor divides the audio signal into a series of frames in the time domain, performs a transform on each frame to generate a set of coefficients representing said frame, and maps the set of coefficients to a set of actuation signals to be applied to the array.

Abstract: An apparatus and method for use in treating tinnitus, employs a sound processing unit, a tactile unit, and an interface therebetween. The tactile unit comprises an array of stimulators each of which can be independently actuated to apply a tactile stimulus to a subject, and an input for receiving a plurality of actuation signals from the interface and directing individual actuation signals to individual stimulators. The sound processing unit receives an audio signal at an input, analyses the signal with a digital signal processor to generate the actuation signals which are representative of the audio signal, and provides the plurality of actuation signals to the interface. In a preferred embodiment the digital signal processor divides the audio signal into a series of frames in the time domain, performs a transform on each frame to generate a set of coefficients representing said frame, and maps the set of coefficients to a set of actuation signals to be applied to the array.

Abstract: An apparatus and method for use in treating tinnitus, employs a sound processing unit, a tactile unit, and an interface therebetween. The tactile unit comprises an array of stimulators each of which can be independently actuated to apply a tactile stimulus to a subject, and an input for receiving a plurality of actuation signals from the interface and directing individual actuation signals to individual stimulators. The sound processing unit receives an audio signal at an input, analyses the signal with a digital signal processor to generate the actuation signals which are representative of the audio signal, and provides the plurality of actuation signals to the interface. In a preferred embodiment the digital signal processor divides the audio signal into a series of frames in the time domain, performs a transform on each frame to generate a set of coefficients representing said frame, and maps the set of coefficients to a set of actuation signals to be applied to the array.

Abstract: An apparatus and method for use in treating tinnitus, employs a sound processing unit, a tactile unit, and an interface therebetween. The tactile unit comprises an array of stimulators each of which can be independently actuated to apply a tactile stimulus to a subject, and an input for receiving a plurality of actuation signals from the interface and directing individual actuation signals to individual stimulators. The sound processing unit receives an audio signal at an input, analyses the signal with a digital signal processor to generate the actuation signals which are representative of the audio signal, and provides the plurality of actuation signals to the interface. In a preferred embodiment the digital signal processor divides the audio signal into a series of frames in the time domain, performs a transform on each frame to generate a set of coefficients representing said frame, and maps the set of coefficients to a set of actuation signals to be applied to the array.

Abstract: An apparatus and method for use in treating tinnitus, employs a sound processing unit, a tactile unit, and an interface therebetween. The tactile unit comprises an array of stimulators each of which can be independently actuated to apply a tactile stimulus to a subject, and an input for receiving a plurality of actuation signals from the interface and directing individual actuation signals to individual stimulators. The sound processing unit receives an audio signal at an input, analyses the signal with a digital signal processor to generate the actuation signals which are representative of the audio signal, and provides the plurality of actuation signals to the interface. In a preferred embodiment the digital signal processor divides the audio signal into a series of frames in the time domain, performs a transform on each frame to generate a set of coefficients representing said frame, and maps the set of coefficients to a set of actuation signals to be applied to the array.

Abstract: An auditory stimulation treatment for alleviating tinnitus and hyperacusis by compensating for hearing loss and loss of non-linear compression. Natural auditory signals are delivered correcting for hearing loss and compressive non-linearity, both determined at separate frequency bands for the individual subject. This differs from existing treatment in that synthetic “masking” signals are not delivered, but rather the natural auditory input to the subject is modified. Consequently, the method is more akin to a conventional hearing aid. In contrast to conventional hearing aids, however, perception thresholds are specifically corrected and non-linear compression is matched to the specific hearing deficit of the user.

Abstract: Systems and methods for performing source separation are provided. Source separation is performed using a composite signal and a signal dictionary. The composite signal is a mixture of sources received by a sensor. The signal dictionary is a database of filtered basis functions that are formed by the application of directional filters. The directional filters approximate how a particular source will be received by the sensor when the source originates from a particular location. Each source can be characterized by a coefficient and a filtered basis function. The coefficients are unknown when the sources are received by the sensor, but can be estimated using the composite signal and the signal dictionary. Various ones of the sources may be selectively reconstructed or separated using the estimated value of the coefficients.

Abstract: Systems and methods for performing source separation are provided. Source separation is performed using a composite signal and a signal dictionary. The composite signal is a mixture of sources received by a sensor. The signal dictionary is a database of filtered basis functions that are formed by the application of directional filters. The directional filters approximate how a particular source will be received by the sensor when the source originates from a particular location. Each source can be characterized by a coefficient and a filtered basis function. The coefficients are unknown when the sources are received by the sensor, but can be estimated using the composite signal and the signal dictionary. Various ones of the sources may be selectively reconstructed or separated using the estimated value of the coefficients.

Abstract: A reflective rotund lens is positioned for projecting a panoramic picture of its horizontal surroundings at a given elevation onto a CCD array, for converting the picture into "pixel form" or an image signal. The image signal is digitized via an A/D converter circuit. A digital signal processor system is programmed for extracting a strip of pixel locations representative of an image ring mapped to pixel locations via superimposition upon the image, whereby all pixel locations outside of the image ring are eliminated by passing the pixels thereof through said A/D converter circuit at a rate higher than the conversion rate of the A/D converter circuit.