Trans-filter/Detectors are extremely sensitive circuits that recover exponentially modulated signals buried in noise. They can be used wherever Matched Filter/Coherent Detectors are used and operate at negative input signal-to-noise ratios to recover RADAR, SONAR, communications or data signals. Input signal and noise is split into two paths where complementary derivatives are extracted. Outputs of the two paths are equal in amplitude and 180 degrees relative to each other at the band center frequency. The outputs are summed, causing stationary in-band noise to be reduced by cancellation while exponentially modulated signals are increased by addition. Trans-filters are Linear Time Invariant circuits, have no noise x noise threshold and can be cascaded, increasing in-band signal-to-noise ratio prior to detection. Trans-filters are most sensitive to all types of digital modulation, producing easily detected polarized pulses synchronous with data transitions. Trans-filters do not require coherent conversion oscillators and complex synchronizing circuits.

Frequency domain (FDTF) and time domain (TDTF) trans-filters compress in-band AWGN, demodulate input signals and have no threshold due to applied noise. Two parallel frequency selective networks with opposite amplitude vs frequency slopes are designed to remain 180 degrees out of phase over the signal band in the FDTF whereas two parallel delay networks are used in the TDTF. Output amplitudes are equal at band center and are summed producing a monotonic amplitude vs frequency characteristic going thru zero at center frequency with abrupt phase reversal. This produces the parabolic output noise density and differentiates applied signals. Absence of nonlinear circuit components and product devices prevents generation of noisenoise products, avoiding the threshold phenomenon. Exponentially modulated digital signals produce output impulses due to the slope and abrupt phase reversal. The impulses have strong fundamental frequency components and may be recovered at baseband without frequency conversion. Cascading trans-filters increases noise reduction and impulse amplitude. The trans-filter algorithm may be used separately or in conjunction with one or more hardware trans-filters.

A signal processing apparatus includes one or more memories storing instructions, and one or more processors executing the instructions to acquire a sound characteristic generated by vibration depending on a real-world object with which a virtual object is in contact, in a virtual-reality display in which an image of the virtual object is superimposed and displayed on a real-world image, apply the acquired sound characteristic generated by vibration to a sound source signal of the virtual object, and reproduce a sound depending on the sound signal to which the sound characteristic generated by vibration is applied.

A polyphase decimation FIR filter apparatus including a modulo integrator circuit configured to integrate input samples and to provide integrated input samples; and a polyphase FIR filter circuit configured to process the integrated input samples, the polyphase FIR filter circuit including a plurality of multiplier accumulator circuits, each configured to accumulate products of coefficients and respective integrated signal samples, wherein each of the multiplier accumulator circuits receives a subset of FIR filter coefficients, wherein the FIR filter coefficients are derived as the nth difference of original filter coefficients, where n is a number of integrators in the integrator circuit, and wherein the FIR filter circuit is configured to perform computation operations with modulo arithmetic.

Frequency domain (FDTF) and time domain (TDTF) trans-filters compress in-band AWGN, demodulate input signals and have no threshold due to applied noise. Two parallel frequency selective networks with opposite amplitude vs frequency slopes are designed to remain 180 degrees out of phase over the signal band in the FDTF whereas two parallel delay networks are used in the TDTF. Output amplitudes are equal at band center and are summed producing a monotonic amplitude vs frequency characteristic going thru zero at center frequency with abrupt phase reversal. This produces the parabolic output noise density and differentiates applied signals. Absence of nonlinear circuit components and product devices prevents generation of noisenoise products, avoiding the threshold phenomenon. Exponentially modulated digital signals produce output impulses due to the slope and abrupt phase reversal. The impulses have strong fundamental frequency components and may be recovered at baseband without frequency conversion. Cascading trans-filters increases noise reduction and impulse amplitude. The trans-filter algorithm may be used separately or in conjunction with one or more hardware trans-filters.

Embodiments of the present disclosure provide a digital filter module for use in receivers, particularly suitable for use in a narrow-band electromagnetic receiver. Design of the module is based on a recognition that providing to the module samples of a signal received by a receiver and sampled at a sampling frequency equal to four times the intermediate frequency of the receiver, eliminating zeros in the filter, and implementing the filter module as a resource-shared second-order filter structure that includes two sections advantageously enables saving some hardware components, particularly some multipliers and adders, in implementing a versatile digital filter module that can function either as two real filters or one complex filter. In this manner, substantial reduction of area and power consumption of the filter module may be achieved, while maintaining sufficiently high filtering performance.

The disclosed electrosurgical systems and methods accurately determine the power actually applied to a load by using equalizers to calibrate the power measurements. The electrosurgical systems include an electrosurgical generator and an electrosurgical instrument coupled to the electrosurgical generator through an electrosurgical cable. The electrosurgical generator includes an electrical energy source, voltage and current detectors, equalizers that estimate the voltage and current applied to a load, and a power calculation unit that calculates estimated power based upon the estimated voltage and current. The methods of calibrating an electrosurgical generator involve applying a resistive element across output terminals of the electrosurgical generator, applying a test signal to the resistive element, measuring the magnitude and phase angle of voltage and current components of the test signal within the electrosurgical generator, estimating the magnitude and phase angle of the voltage and current at the resistive element using equalizers, and determining gain correction factors and minimum phase angles for the equalizers.

A filter system for filtering an input signal comprises a network of Prism filters including at least one cosine Prism filter and at least one sine Prism filter. The network comprises a first branch (210) in parallel with a second branch, (220) each branch arranged to receive the input signal as an input, the first branch comprising the cosine Prism filter/s (211), the second branch comprising the sine Prism filter/s (221). The network of Prism filters is arranged to generate an output signal based on a combination of an output of the first branch with an output of the second branch. A method of designing a convolutional filter is also provided, comprising inputting a test signal into a filter system to generate an impulse response of the filter system and generating a convolutional filter based on the impulse response.

A multi-rate filter system is disclosed. More particularly, a computationally efficient multi-rate filter system for processing an audio stream on a consumer electronics device is disclosed. The multi-rate filter system includes a plurality of multi-rate filtering blocks, at least one block including a linear filter component. At least one multi-rate filtering block may include a nonlinear signal processing component. The multi-rate filter system may include a nonlinear functional block. A method of filtering a signal is also disclosed.

Embodiments of the present disclosure provide a digital filter module for use in receivers, particularly suitable for use in a narrow-band electromagnetic receiver. Design of the module is based on a recognition that providing to the module samples of a signal received by a receiver and sampled at a sampling frequency equal to four times the intermediate frequency of the receiver, eliminating zeros in the filter, and implementing the filter module as a resource-shared second-order filter structure that includes two sections advantageously enables saving some hardware components, particularly some multipliers and adders, in implementing a versatile digital filter module that can function either as two real filters or one complex filter. In this manner, substantial reduction of area and power consumption of the filter module may be achieved, while maintaining sufficiently high filtering performance.