A filter circuit includes multiple registers, a switch circuit, multiple multipliers and a summation circuit. Each register is configured to store an input. The switch circuit is coupled to the registers and configured to receive the inputs from the registers as a series of registered inputs and adjust arrangement of the inputs of the series of registered inputs to generate a series of rearranged inputs according to a count value. The count value is accumulated in response to reception of a new input of the filter circuit. The multipliers are coupled to the switch circuit. The inputs of the series of rearranged inputs are sequentially provided to the multipliers. Each multiplier is configured to generate a multiplication result according to the received input and a coefficient. The summation circuit is coupled to the multipliers and configured to sum up the multiplication results to generate an output.

A Scalable Finite Impulse Response (SFIR) filter is disclosed. The SFIR filter includes a pre-processing section, a post-processing section, and a finite impulse response (FIR) Matrix. The FIR Matrix includes a plurality of filter taps and a plurality of signal paths in signal communication with each filter tap. The plurality of signal paths are arranged to allow re-configurable data throughput between the each filter tap and the pre-processing section and post-processing section are in signal communication with the FIR Matrix.

A Scalable Finite Impulse Response (SFIR) filter includes a pre-processing section, a post-processing section, and a finite impulse response (FIR) Matrix. The FIR Matrix is coupled to the pre-processing section and the post-processing section. The FIR Matrix includes a plurality of filter taps and a plurality of signal paths. Each filter tap of the plurality of filter taps has at least a first input, a second input, a multiplexer coupled to the first input and the second input, and a first flip-flop coupled to an output of the multiplexer. The plurality of signal paths are arranged to allow re-configurable data throughput between the each filter tap of the plurality of filter taps.

Various embodiments relate to delta-sigma loop filters with input feedforward. A delta-sigma loop filter may include a first integrator and a quantizer having an input coupled to an output of the first integrator. The delta-sigma loop filter may further include a first summing node having an output coupled to an input of the first integrator. Further, the delta-sigma loop filter may include a feedforward path from an input of the delta-sigma loop filter to a first input of the first summing node. The delta-sigma loop filter may also include a first feedback path from an output of the quantizer to a second input of the first summing node.

Various embodiments relate to an analog-to-digital converter (ADC). The ADC may include a first channel including a first delta-sigma loop filter and a second channel including a second delta-sigma loop filter. Each of the first delta-sigma loop filter and the second delta-sigma loop filter may include a first integrator and a quantizer having an input coupled to an output of the first integrator. Each of the first delta-sigma loop filter and the second delta-sigma loop filter may also include a first summing node having an output coupled to an input of the first integrator, and a feedforward path from an input of the delta-signal loop filter to a first input of the first summing node. Further, each of the first delta-sigma loop filter and the second delta-sigma loop filter may include a first feedback path from an output of the quantizer to a second input of the first summing node.

A Scalable Finite Impulse Response (SFIR) filter is disclosed. The SFIR filter includes a pre-processing section, a post-processing section, and a finite impulse response (FIR) Matrix. The FIR Matrix includes a plurality of filter taps and a plurality of signal paths in signal communication with each filter tap. The plurality of signal paths are arranged to allow re-configurable data throughput between the each filter tap and the pre-processing section and post-processing section are in signal communication with the FIR Matrix.

Aspect of the present disclosure provide for a circuit. In an example, the circuit comprises a multiplexer having a first input, a second input, a control input, and an output. The circuit further comprises a first register having an input coupled to the output of the multiplexer and an output. The circuit further comprises a second register having an input coupled to the output of the first register and an output. The circuit further comprises a subtractor having a first input coupled to the output of the multiplexer and a second input coupled to the output of the second register. The circuit further comprises a third register having an input coupled to the output of the subtractor and an output coupled to the first input of the multiplexer.

Provided is a digital filter circuit in which a filter coefficient can be easily changed, for which circuit scale and power consumption can be reduced, and which carries out digital filter processing in a frequency domain. This digital filter circuit includes: a separating circuit for separating a first complex number signal, of a frequency domain that was subjected to Fourier transform, into a real number portion and an imaginary number portion; a filter coefficient generating circuit for generating a first frequency domain filter coefficient from a first input filter coefficient and a third input filter coefficient, and for generating a second frequency domain filter coefficient from a second input filter coefficient and the third input filter coefficient; a first filter that filters the separated real number portion using the first frequency domain filter coefficient; a second filter that filters the separated imaginary number portion using the second frequency domain filter coefficient; and a combining circuit for combining the output from the two filters.

A finite impulse response (FIR) filter circuit design method using approximate computing, the FIR filter circuit design method including: replacing adders of the FIR filter with approximate adders; and performing a synthesis work according to a set approximate synthesis flow when the replacing of the adders of the FIR filter are replaced with the approximate adders is performed, wherein, in the approximate synthesis flow, a numeric column of each of the approximate adders is divided into an accurate part and an inaccurate part, and a numeric column of the inaccurate part is approximated. In the FIR filter, conventional adders/subtractors are replaced with addition/subtraction having an automated synthesis flow so that energy consumption can be reduced.

A parallel transfer rate converter inputs first parallel data with number of samples being S1 pieces in synchronism with a first clock, and outputs second parallel data with number of samples being S2=S1(m/p) pieces (p is an integer equal to or larger than 1) in synchronism with a second clock having a frequency which is p/m times of a frequency of the first clock. A convolution operation device inputs the second parallel data in synchronism with the second clock, generates third parallel data with number of samples being S3=S2(n/m) pieces (S3 is an integer equal to or larger than 1) by executing a convolution operation with a coefficient indicating a transmission characteristic to the second parallel data, and outputs the third parallel data in synchronism with the second clock.