Abstract: A method for recovering data included in a digitally modulated signal is described. The digitally modulated signal includes a symbol sequence. The method includes providing a mathematical model of the digitally modulated signal, the mathematical model describing the digitally modulated signal in terms of the symbol sequence and describing the digitally modulated signal in terms of a step response and/or an impulse response, and wherein the mathematical model also takes disturbances into account; and processing the digitally modulated signal based on the mathematical model, thereby recovering the data included in the digitally modulated signal. The disturbances include a random disturbance component modelled as a Gaussian disturbance, and include an inter-symbol interference component modelled as Gaussian noise, and wherein a dependence of the at least one step response on the symbol sequence is neglected within the mathematical model. Further, a measurement instrument and a measurement system are described.

Abstract: A digital filter circuit is described. The digital filter circuit includes a digital filter input, at least two finite impulse response (FIR) filter circuits, and a connection circuit. The digital filter input is configured to receive a digital input signal set having a data parallelism. The at least two FIR filter circuits are configured to process the digital input signal set at least partially. The at least two FIR filter circuits include a pre-adder sub-circuit, a convolution sub-circuit, and a post-adder sub-circuit, respectively. The connection circuit is configured to selectively connect the at least two FIR filter circuits based on the data parallelism of the digital input signal set.

Abstract: A method for recovering data included in a digitally modulated signal is described. The digitally modulated signal includes a symbol sequence. The method includes providing a mathematical model of the digitally modulated signal, the mathematical model describing the digitally modulated signal in terms of the symbol sequence and describing the digitally modulated signal in terms of a step response and/or an impulse response, and wherein the mathematical model also takes disturbances into account; and processing the digitally modulated signal based on the mathematical model, thereby recovering the data included in the digitally modulated signal. The disturbances include a random disturbance component modelled as a Gaussian disturbance, and include an inter-symbol interference component modelled as Gaussian noise, and wherein a dependence of the at least one step response on the symbol sequence is neglected within the mathematical model. Further, a measurement instrument and a measurement system are described.

Abstract: A signal analysis method is disclosed. The method comprises the following steps: An input signal comprising a symbol sequence is received, wherein the input signal is associated with a first clock signal comprising at least one jitter component. A second clock signal is recovered based on said input signal. At least one jitter parameter is determined that is associated with said at least one jitter component. A jitter signal is reconstructed based on said at least one jitter parameter, wherein said jitter signal is associated with said at least one jitter component. A third clock signal is determined based on said second clock signal and said jitter signal. Further, a measurement instrument is disclosed.

Abstract: A bit error rate determination method for determining a bit error rate of an input signal is described, wherein the input signal is generated by a signal source, comprising: at least one of receiving and generating a first histogram of a time interval error associated with a first bounded jitter component of the input signal; at least one of receiving and generating random jitter data comprising information on a time interval error associated with a random jitter component of the input signal; and determining the bit error rate based on at least one of the first histogram and the random jitter data. Further, a measurement instrument is described.

Abstract: A method for recovering a clock signal from a data signal by using a clock recovery module is described. Edge timings of the data signal are accumulated. The edge timings accumulated are transformed into one reference bit period. A time offset for the reference bit period is determined. A reference clock signal is determined based on the time offset. The number of bits within a system clock of the clock recovery module is determined. The clock signal is recovered based on the reference clock signal and the number of bits. Further, a clock recovery module as well as a computer program are described.

Abstract: A jitter determination method for determining at least one jitter component of an input signal is described, wherein the input signal is generated by a signal source. The method comprises: receiving the input signal; determining a step response based on the decoded input signal, the step response being associated with at least the signal source; and determining a data dependent jitter signal based on the determined step response and based on the decoded input signal. Further, a measurement instrument is described.

Abstract: A method of analyzing at least one periodic horizontal impairment component of an input signal is described. The input signal is received that includes at least a periodic horizontal impairment component. The at least one periodic horizontal impairment component is analyzed based on a first model, thereby obtaining a first estimated parameter set for each analyzed periodic horizontal impairment component. The at least one periodic horizontal impairment component is analyzed based on a second model, thereby obtaining a second estimated parameter set for each analyzed periodic horizontal impairment component. The first model is different to the second model. Further, the present disclosure provides a measurement instrument.

Abstract: A method of analyzing at least one periodic horizontal impairment component of an input signal is described. The input signal is received that includes at least a periodic horizontal impairment component. The at least one periodic horizontal impairment component is analyzed based on a first model, thereby obtaining a first estimated parameter set for each analyzed periodic horizontal impairment component. The at least one periodic horizontal impairment component is analyzed based on a second model, thereby obtaining a second estimated parameter set for each analyzed periodic horizontal impairment component. The first model is different to the second model. Further, the present disclosure provides a measurement instrument.

Abstract: A jitter determination method for determining at least one jitter component of an input signal is described. The input signal is generated by a signal source, including: receiving the input signal; determining a step response based on the decoded input signal, the step response being associated with at least the signal source; and determining the at least one jitter component of the input signal based on at least one of the input signal and the determined step response. Further, a measurement instrument is described.

Abstract: A clock recovery method for recovering a clock signal from a data signal is described, wherein the data signal comprises a symbol sequence. The clock recovery method comprises the following steps: The data signal is received. At least two partial clock timings of a partial clock signal that is based on the data signal are determined. The number of symbols between the at least two partial clock timings is determined. Clock timings of the clock signal are determined based on the at least two partial clock timings and the number of symbols. Further, a clock recovery module is described.

Abstract: A signal analysis method for determining at least one perturbance component of an input signal is described, wherein the perturbance is associated with at least one of jitter and noise.

Abstract: A signal analysis method is disclosed. The method comprises the following steps: An input signal comprising a symbol sequence is received, wherein the input signal is associated with a first clock signal comprising at least one jitter component. A second clock signal is recovered based on said input signal. At least one jitter parameter is determined that is associated with said at least one jitter component. A jitter signal is reconstructed based on said at least one jitter parameter, wherein said jitter signal is associated with said at least one jitter component. A third clock signal is determined based on said second clock signal and said jitter signal. Further, a measurement instrument is disclosed.

Abstract: A jitter determination method for determining at least one jitter component of an input signal is described, wherein the input signal is generated by a signal source, comprising: receiving and/or generating probability data containing information on a collective probability density function of a random jitter component of the input signal and a other bounded uncorrelated jitter component of the input signal; determining a standard deviation of the random jitter component based on the probability data; determining a RJ probability density function associated with the random jitter component based on the standard deviation; and determining a OBUJ probability density function associated with the other bounded uncorrelated jitter component, wherein the OBUJ probability density function is determined based on the probability data and based on the probability density function that is associated with the random jitter component. Further, a measurement instrument is described.

Abstract: A clock timing recovery method for determining a clock timing of an input signal is described, wherein the input signal is generated by a signal source, comprising: receiving the input signal; determining signal edges of the input signal based on the received input signal; determining at least a first clock timing model parameter; determining at least one jitter component of the input signal; and determining a clock timing error associated with the at least one jitter component, wherein the clock timing error is determined based on the determined signal edges, the determined first clock timing model parameter and the determined jitter component. Moreover, a measurement instrument is described.

Abstract: A jitter determination method for determining at least one random jitter component of an input signal is described, wherein the input signal is generated by a signal source, comprising: receiving the input signal; determining a time interval error associated with the random jitter component; determining at least one statistical moment of the time interval error based on the determined time interval error, wherein the order of the statistical moment is two or larger; at least one of determining an impulse response based on the input signal and receiving the impulse response, the impulse response being associated with at least the signal source; and determining the standard deviation of the random jitter component based on at least one of the determined statistical moment and the determined impulse response. Moreover, a measurement instrument is described.

Abstract: A signal analysis method for recovering a clock signal from an input signal is described. The input signal comprises a symbol sequence, wherein each symbol has one of N different amplitude values, and wherein N is an integer bigger than 1. The signal analysis method comprises the following steps: The input signal is received. Transition times of the input signal are determined, wherein the input signal respectively crosses one of several predetermined amplitude thresholds at the transition times. The transition times are transformed into one reference symbol period, thereby obtaining transformed transition times. The clock signal is determined based on the transformed transition times. Further, a signal analysis module for recovering a clock signal from an input signal is described.

Abstract: A method for recovering a clock signal from a data signal by using a clock recovery module is described. At least one bit count of the data signal is received. At least one edge timing of the data signal is received. At least one cost function is formed that comprises the at least one bit count of the data signal and the at least one edge timing of the data signal. The at least one cost function is minimized with respect to at least one of a clock edge timing and a bit period. Further, a clock recovery module is described.

Abstract: A signal analysis method is described. The signal analysis method includes the following steps. A first difference quantity is determined based on a first set of samples by a first polyphase filter, wherein the first set of samples includes at least two input samples. A second difference quantity is determined based on a second set of samples by a second polyphase filter, wherein the second set of samples includes at least two input samples, wherein the input samples associated with the second set of samples are time-shifted with respect to the input samples associated with the first set of samples. The first difference quantity and the second difference quantity are compared based on a predefined criterion. At least one timing parameter of the symbol sequence is determined based on the comparison of the first difference quantity and the second difference quantity. Further, a signal processing module is described.

Abstract: A signal analysis method for determining at least one perturbance component of an input signal is described, wherein the perturbance is associated with at least one of jitter and noise.