Abstract: Sinusoidal waveforms are synthesized using one or more waveguide resonance oscillators. The waveguide resonance oscillator has two digital delay elements coupled to a digital waveguide junction. Each digital delay element receives a signal on its respective input node and outputs the received signal on its respective output node after a delay of one sample period. In the preferred embodiment, the waveguide junction has three digital signal adders and one signal multiplier interconnected so as to compute, once each sample period, a new input value for each digital delay element as a function of the two signals output by the digital delay elements. The multiplier coefficient used by the waveguide junction's multiplier determines the generated waveform's frequency of oscillation. The two output signals from the waveguide junction are sinusoidal waveforms that are 90 degrees out of phase with each other.

Abstract: A signal synthesizer uses a digital waveguide network having at least a three dimensional matrix of waveguide sections interconnected by junctions to filter one or more excitation signals so as to generate an array of synthesized output signals. The digital waveguide network has sets of waveguide sections interconnected by junctions. Each waveguide section includes two digital delay lines running parallel to each other for propagating signals in opposite directions and each junction has reflection and propagation coefficients assigned to it for controlling reflection and propagation of signals in the waveguide sections connected to that junction. Except for junctions along boundaries of the digital waveguide matrix, a majority of the junctions are 2.sup.w -way junctions, where W is an integer greater than 1.

Abstract: A tone synthesis system employs a filtered delay loop which is excited by an excitation signal. The excitation signal corresponds to a partial impulse response of a body filter to the system which is to be simulated. Additional components of the impulse response of the body filter are imparted to an output from the filtered delay loop. High quality tone synthesis can be achieved without the necessity of providing a complicated body filter.

Abstract: A tone synthesis system employs a filtered delay loop which is excited by an excitation signal. The excitation signal corresponds to the impulse response of a body filter to the system which is to be simulated. High quality tone synthesis can be achieved without the necessity of providing a complicated body filter.

Abstract: A signal synthesizer uses a digital waveguide network having at least a two dimensional matrix of waveguide sections interconnected by junctions to filter one or more excitation signals so as to generate an array of synthesized output signals. The digital waveguide network has sets of waveguide sections interconnected by junctions. Each waveguide section includes two digital delay lines running parallel to each other for propagating signals in opposite directions and each junction has reflection and propagation coefficients assigned to it for controlling reflection and propagation of signals in the waveguide sections connected to that junction. Except for junctions along boundaries of the digital waveguide matrix, each junction is at least a four-way junction that interconnect at least four waveguide sections so as to scatter and intermix signals in flowing through those waveguide sections.

Abstract: A musical sound synthesizer simulates interaction of a hammer having a compressible striking surface with a resonating medium. A digital waveguide resonator that simulates operation of a resonating medium and generates digital resonator waveforms representing signals propagating in said digital waveguide resonator. A hammer filter simulates the hammer striking the resonating medium and generates first and second hammer waveforms. The hammer filter includes a scattering junction that couples the hammer filter to the digital waveguide resonator.

Abstract: A tone generation system includes one or more digital waveguide networks coupled to one or more junctions, one of which receives a control signal for controlling tone generation. The control signal initiates and interacts with a wave signal propagating through the waveguide networks to form a tone signal. A non-linear junction may be employed which receives a signal from a waveguide, converts it in accordance with a non-linear function based upon the value of the control signal and provides it back to the waveguide. A tone signal whose pitch is determined by the wave transmission characteristics of the waveguide network is thereby produced.

Abstract: The restoration of a band-limited signal which has undergone amplitude clipping is viewed as recovery from signal drop-outs (missing samples over an interval of time), with the extrapolated signal constrained to lie outside the clipping interval during the drop out. If the signal is oversampled, and the clipping threshold moderate, a unique reconstruction may result from application of signal matching and bandwidth constraints. More generally, however, candidate reconstructions are seen to lie on or inside a polyhedron in the space of sampled signals. In contrast to the case of extrapolation through missing samples, upper and lower limits typically can be placed on the reconstructed signal at every sample point. In light of this finding, methods for choosing a unique reconstruction are achieved. The use of inequality constraints allows practical restoration of clipped signals.

Abstract: A tone generation system includes one or more digital waveguide networks coupled to one or more junctions, one of which receives a control signal for controlling tone generation. The control signal initiates and interacts with a wave signal propagating through the waveguide networks to form a tone signal. A non-linear junction may be employed which receives a signal from a waveguide, converts it in accordance with a non-linear function based upon the value of the control signal and provides it back to the waveguide. A tone signal whose pitch is determined by the wave transmission characteristics of the waveguide network is thereby produced.