A waveform conversion unit (42) of a numerically controlled oscillator has a cosine table (101) and a sine table (102) in which parameters for cosine wave and sine wave signal generation are stored, a correction mechanism (50) for generating correction values according to the phase of an inputted phase signal, an adder (111) for generating a cosine wave signal from a parameter in the cosine table (101) and a correction value, and an adder (112) for generating a sine wave signal from a parameter in the sine table (102) and a correction value. The correction mechanism (50) uses waveform data which is a kind of parabolic data and whose phase interval is more minute than the phase interval of the parameters in each table (101), (102) to generate correction values for correcting cosine wave and sine wave signals to be found by linear interpolation.

A waveform conversion unit (42) of a numerically controlled oscillator has a cosine table (101) and a sine table (102) in which parameters for cosine wave and sine wave signal generation are stored, a correction mechanism (50) for generating correction values according to the phase of an inputted phase signal, an adder (111) for generating a cosine wave signal from a parameter in the cosine table (101) and a correction value, and an adder (112) for generating a sine wave signal from a parameter in the sine table (102) and a correction value. The correction mechanism (50) uses waveform data which is a kind of parabolic data and whose phase interval is more minute than the phase interval of the parameters in each table (101), (102) to generate correction values for correcting cosine wave and sine wave signals to be found by linear interpolation.

Embodiments of the present disclosure are based on a recognition that some processors are configured with instructions to compute logarithms and exponents (i.e. some processors include log and exp circuits). Embodiments of the present disclosure are further based on an insight that the use of the existing log and exp circuits could be extended to compute certain other functions by using the existing log and exp circuits to transform from a Cartesian to a logarithmic domain and vice versa and performing the actual computations of the functions in the logarithmic domain, which may be computationally easier than performing the computations in the Cartesian domain.

Embodiments of the present disclosure are based on a recognition that some processors are configured with instructions to compute logarithms and exponents (i.e. some processors include log and exp circuits). Embodiments of the present disclosure are further based on an insight that the use of the existing log and exp circuits could be extended to compute certain other functions by using the existing log and exp circuits to transform from a Cartesian to a logarithmic domain and vice versa and performing the actual computations of the functions in the logarithmic domain, which may be computationally easier than performing the computations in the Cartesian domain.

A programmable analog processing array for programmable time-discrete processing of analog input signals in accordance with a desired signal processing function comprises a network of mutually interconnectable and pre-configurable analog processing slices that form unit circuit cells of the network. Each processing slice comprises a set of cell circuit elements including: a switchable clock input port for receiving a clock signal, a delay element for receiving a respective analog slice input signal and for forwarding the received slice input signal with a pre-configurable time delay as a respective delayed slice input signal, an analog multiplier element receiving the delayed slice input signal for providing an analog multiplier output signal corresponding to a product of the delayed slice input signal with a pre-configurable multiplication factor, an analog adder element receiving a pre-configurable selection of at least two adder input signals including the multiplier output signal and for providing an analog adder output signal corresponding to a sum of the adder input signals, and including an analog resample element for receiving the adder output signal and for providing the received adder output with a pre-configurable time delay as an analog slice output signal.

A semiconductor device with a small circuit scale and reduced power consumption is provided. The semiconductor device includes first to fifth circuits. Each of the first to fourth circuits includes first and second cells, a sixth circuit, first and second current generation circuits, a first input terminal, and a second output terminal. The first circuit to the fourth circuit are electrically connected to each other in a ring, and the first circuit is electrically connected to the fifth circuit. In each of the first to fourth circuits, the first cell is electrically connected to the second cell through the first wiring, the first current generation circuit, and the third wiring, and is electrically connected to the first input terminal and the sixth circuit through the second wiring. The second cell is electrically connected to the first output terminal through the second current generation circuit. Note that the first current generation circuit functions as a current mirror circuit, and the second current generation circuit functions as an arithmetic circuit of a function system. The first cell performs an arithmetic operation of a product, and the second cell retains the result of the arithmetic operation.

A function generator provides a first signal unit for the delivery of a first signal at a first output. The function generator provides a second signal unit for the delivery of a second signal at a second output. The function generator provides a calibration unit for the generation of a test signal, wherein the test signal can be supplied to the first signal unit and/or to the second signal unit. A comparison unit is connected downstream of the first signal unit and/or the second signal unit. The comparison unit compares the test signal delivered at the first output and/or at the second output with a calibration signal, wherein the output signal of the comparison unit can be supplied to the calibration unit.

A function generator provides a first signal unit for the delivery of a first signal at a first output. The function generator provides a second signal unit for the delivery of a second signal at a second output. The function generator provides a calibration unit for the generation of a test signal, wherein the test signal can be supplied to the first signal unit and/or to the second signal unit. A comparison unit is connected downstream of the first signal unit and/or the second signal unit. The comparison unit compares the test signal delivered at the first output and/or at the second output with a calibration signal, wherein the output signal of the comparison unit can be supplied to the calibration unit.

It is provided a signal processing system, comprising at least a first, a second and a third digital-to-analog converter (DAC); a processing unit configured for splitting a sampled signal into a first and a second signal corresponding to different frequency portions of the sampled signal, transmitting the first signal to the first DAC, splitting the second signal into a first and a second subsignal and transmitting the first subsignal to the second DAC and the second subsignal to the third DAC, the first subsignal corresponding to the real part of the second signal and the second subsignal corresponding to the imaginary part of the second signal; an IQ mixer configured for mixing an analog output signal of the second DAC and an analog output signal of the third DAC and a combiner for combining an analog output signal of the first DAC and an output signal of the IQ mixer.

It is provided a signal processing system, comprising at least a first, a second and a third digital-to-analog converter (DAC); a processing unit configured for splitting a sampled signal into a first and a second signal corresponding to different frequency portions of the sampled signal, transmitting the first signal to the first DAC, splitting the second signal into a first and a second subsignal and transmitting the first subsignal to the second DAC and the second subsignal to the third DAC, the first subsignal corresponding to the real part of the second signal and the second subsignal corresponding to the imaginary part of the second signal; an IQ mixer configured for mixing an analog output signal of the second DAC and an analog output signal of the third DAC and a combiner for combining an analog output signal of the first DAC and an output signal of the IQ mixer.