A sigma delta modulator comprises an input configured to receive an input analog signal; a summing junction configured to subtract a feedback analog signal from the input analog signal; a first stage including a low pass filter coupled to the summing junction, wherein the low pass filter is configured to generate a first filtered signal; a second stage coupled to the low pass filter, configured to generate a second filtered signal by an active filter; a back-end stage coupled to the second stage, wherein the back-end stage comprises an analog to digital converter configured to convert the 2.sup.nd filtered signal to a digital output signal by sampling at a predetermined sampling frequency(fs); and a feedback path for routing the digital output signal to the summing junction, wherein the feedback path comprises a digital to analog converters, DAC, converting the digital output signal to the feedback analog signal.

A sigma delta modulator comprises an input configured to receive an input analog signal; a summing junction configured to subtract a feedback analog signal from the input analog signal; a first stage including a low pass filter coupled to the summing junction, wherein the low pass filter is configured to generate a first filtered signal; a second stage coupled to the low pass filter, configured to generate a second filtered signal by an active filter; a back-end stage coupled to the second stage, wherein the back-end stage comprises an analog to digital converter configured to convert the 2.sup.nd filtered signal to a digital output signal by sampling at a predetermined sampling frequency (fs); and a feedback path for routing the digital output signal to the summing junction, wherein the feedback path comprises a digital to analog converters, DAC, converting the digital output signal to the feedback analog signal.

A signal modulation device comprising: an input for receiving a complex input signal (106) comprising an in-phase component signal and a quadrature-phase component signal, a sigma-delta modulator (110) for modulating the complex input signal at an oversampling clock rate (F1) into an intermediary signal (112), a numerical oscillator (60) for generating a phase signal (61) oscillating at a selected carrier frequency (FC), wherein the phase signal takes a finite number of quantized states, and a symbol mapping table (114) comprising a predefined quantized symbol for each quantized complex state of the intermediary signal and each quantized state of the phase signal, and operates at each oversampling clock period (F1) to select a quantized symbol (116) as a function of a current quantized complex state of the intermediary signal (112) and a current quantized state of the phase signal (61).

An optical network includes a transmitting portion configured to (i) encode an input digitized sequence of data samples into a quantized sequence of data samples having a first number of digits per sample, (ii) map the quantized sequence of data samples into a compressed sequence of data samples having a second number of digits per sample, the second number being lower than the first number, and (iii) modulate the compressed sequence of data samples and transmit the modulated sequence over a digital optical link. The optical network further includes a receiving portion configured to (i) receive and demodulate the modulated sequence from the digital optical link, (ii) map the demodulated sequence from the second number of digits per sample into a decompressed sequence having the first number of digits per sample, and (iii) decode the decompressed sequence.

An optical network includes a transmitting portion configured to (i) encode an input digitized sequence of data samples into a quantized sequence of data samples having a first number of digits per sample, (ii) map the quantized sequence of data samples into a compressed sequence of data samples having a second number of digits per sample, the second number being lower than the first number, and (iii) modulate the compressed sequence of data samples and transmit the modulated sequence over a digital optical link. The optical network further includes a receiving portion configured to (i) receive and demodulate the modulated sequence from the digital optical link, (ii) map the demodulated sequence from the second number of digits per sample into a decompressed sequence having the first number of digits per sample, and (iii) decode the decompressed sequence.

An optical communication apparatus includes a level detector, an FIR filter, and a adjustor. The level detector detects level information that discriminates a change in a multi-value level based on an input signal used in a multi-value amplitude modulation system. The FIR filter compensates a signal band of the input signal in accordance with tap coefficients of a plurality of multipliers. The adjustor corrects the tap coefficient of each of the multipliers included in the FIR filter based on the level information detected in the level detector.

A sigma-delta modulator includes an N-bit quantization circuit that generates a stream of N-bit code words and a feedback signal path with an N-bit DAC circuit, having a non-ideal operation due to mismatch error, that converts the stream of N-bit code words to generate a feedback signal. A digital DAC copy circuit provides a digital replication of the N-bit DAC circuit. The digital replication accounts for the non-ideal operation of the N-bit DAC circuit 126 due to mismatch error, and converts the stream of N-bit code words to generate a stream of P-bit code words, where P>N, that are functionally equivalent to the feedback signal output from the N-bit DAC circuit.

An optical communication apparatus includes a level detector, an FIR filter, and a adjustor. The level detector detects level information that discriminates a change in a multi-value level based on an input signal used in a multi-value amplitude modulation system. The FIR filter compensates a signal band of the input signal in accordance with tap coefficients of a plurality of multipliers. The adjustor corrects the tap coefficient of each of the multipliers included in the FIR filter based on the level information detected in the level detector.

A sigma-delta analog-to-digital converter (ADC) includes a feed-forward circuit, a finite-impulse-response (FIR) digital-to-analog converter (DAC), and a decimation filter. The feed-forward circuit is configured to receive an analog input signal and a feedback signal and generate a set of digital signals. Each feedback element of the FIR DAC includes a flip-flop and a reset circuit. The reset circuit is configured to receive a corresponding reset signal of a set of reset signals and output a reference output signal when the corresponding reset signal is deactivated. The reset signal of each feedback element is deactivated sequentially after each cycle of a clock signal that is received by the flip-flop associated with a corresponding reset circuit of each feedback element. The feedback signal is generated based on the reference output signal. The decimation filter is configured to generate a digital output signal based on the set of digital signals.

A semiconductor device includes a signal input circuit configured to select one of the plurality of differential sensor signals according to a channel selection signal; an amplifier circuit configured to amplify an output of the signal input circuit; and an analog-to-digital converter (ADC) configured to convert an output of the amplifier circuit into a digital value, wherein each of the plurality of sensor signals is a differential signals and the signal input circuit changes polarity of an output signal thereof according to a first chopping signal, and wherein the ADC includes a delta-sigma modulator configured to generate a bit stream from an output of the amplifier circuit; an output chopping circuit configured to adjust phase of the bit stream according to the first chopping signal; and a filter configured to filter an output of the output chopping circuit and to output the digital value.