cbadc.datasets.chain_of_integrators.ChainOfIntegrators

class cbadc.datasets.chain_of_integrators.ChainOfIntegrators(N: int = 5, beta: float = 6250.0, rho: float = 0.0, kappa: float = 1.0)

Bases: object

Control-bounded Chain-of-integrators ADC example.

This class instantiates the chain-of-integrators control-bounded ADC which was frequently used in

• H. Malmberg, Control-bounded converters, Ph.D. dissertation, Dept. Inf. Technol. Elect. Eng., ETH Zurich, 2020.

• H.-A. Loeliger, H. Malmberg, and G. Wilckens, Control-bounded analog-to-digital conversion: transfer function analysis, proof of concept, and digital filter implementation,” arXiv:2001.05929

• H.-A. Loeliger and G. Wilckens, Control-based analog-to-digital conversion without sampling and quantization, 2015 Information Theory & Applications Workshop (ITA), UCSD, La Jolla, CA, USA, Feb. 1-6, 2015

• H.-A. Loeliger, L. Bolliger, G. Wilckens, and J. Biveroni, Analog-to-digital conversion using unstable filters, 2011 Information Theory & Applications Workshop (ITA), UCSD, La Jolla, CA, USA, Feb. 6-11, 2011

Furthermore, many pre-computed control-signals can be conveniently be accessed through the cbadc.datasets.chain_of_integrators.ChainOfIntegrators.sin() and cbadc.datasets.chain_of_integrators.ChainOfIntegrators.ramp() methods.

Parameters

• N (int) – number of analog states, (for the chain-of-integrator this also determines M=N), defaults to N=5.

• beta (float) – the integration slope or amplification, defaults to beta=6250.

• rho (float) – the local feedback term, defaults to rho=0.

• kappa (float) – the control gain, defaults to kappa=1

Methods

__init__([N, beta, rho, kappa])
ramp(amplitude, frequency[, phase, offset])	Provide control signals and simulation settings for a ramp input signal.
sin(amplitude, frequency[, phase, offset])	Provide control signals and simulation settings for a sinusoidal input signal.

ramp(amplitude: float, frequency: float, phase: float = 0.0, offset: float = 0.0)

Provide control signals and simulation settings for a ramp input signal.

Specifically for an input signal

\(u(t) = \mathrm{amplitude} \cdot \mathrm{ramp}(t / \mathrm{frequency} + \mathrm{phase}) + \mathrm{offset}\)

where \(\mathrm{ramp}(\cdot)\) is an unit-scale ramp function.

Parameters

• amplitude (float) –

• frequency (float) – specified in [Hz].

• phase (float) – defaults to phase=0.

• offset (float) – defaults to offset=0.

Returns

• control_signal (Generator[np.ndarray, None, None]) – a control signal sequence, possibly retrived over http.

• simulator (cbadc.simulator.StateSpaceSimulator) – an instantated simulator.

• size (int) – the maximum length of the simulation (1G control signal samples)

sin(amplitude: float, frequency: float, phase: float = 0.0, offset: float = 0.0)

Provide control signals and simulation settings for a sinusoidal input signal.

Specifically for an input signal

\(u(t) = \mathrm{amplitude} \cdot \sin(2 \pi \mathrm{frequency} t + \mathrm{phase}) + \mathrm{offset}\)

the resulting simulator and possibly pre-computed control-signals are retrived.

Parameters

• amplitude (float) –

• frequency (float) – specified in [Hz].

• phase (float) – defaults to phase=0.

• offset (float) – defaults to offset=0.

Returns

• control_signal (Generator[np.ndarray, None, None]) – a control signal sequence, possibly retrived over http.

• simulator (cbadc.simulator.StateSpaceSimulator) – an instantated simulator.

• size (int) – the maximum length of the simulation (1G control signal samples)