Abstract: There is provided a method and system for linear signal processing with signal decomposition. The system including: a decomposition module to receive an analog input signal and perform signal decomposition, the signal decomposition including slicing the analog input signal into a plurality of slices to produce one or more analog components and one or more digital components, the decomposition module directing each component to a separate signal path; and a processing module to perform one or more linear operations on at least one of the signal paths. In some cases, the signal decomposition includes slicing the analog input signal into the plurality of slices by amplitude. In some cases, the analog components include unsaturated slices of the analog input signal and the digital components include saturated slices of the analog input signal.

Abstract: There is provided a method and system for linear signal processing with signal decomposition. The system including: a decomposition module to receive an analog input signal and perform signal decomposition, the signal decomposition including slicing the analog input signal into a plurality of slices to produce one or more analog components and one or more digital components, the decomposition module directing each component to a separate signal path; and a processing module to perform one or more linear operations on at least one of the signal paths. In some cases, the signal decomposition includes slicing the analog input signal into the plurality of slices by amplitude. In some cases, the analog components include unsaturated slices of the analog input signal and the digital components include saturated slices of the analog input signal.

Abstract: Some of the embodiments of the present disclosure provide a receiver comprising a class AB common-gate transformer-based low noise transconductance amplifier (LNT) configured to receive an electromagnetic signal, a passive resonant mixer electrically connected to (i) an output port of the class AB common-gate transformer-based LNT and (ii) a local oscillator. The passive resonant mixer can be configured to reject at least one harmonic of the local oscillator. The receiver also comprises a base-band module electrically connected to an output port of the passive resonant mixer.

Abstract: An analog to digital converter including a low pass filter element, a quantizer, and a digital to analog converter provide in a feedback path. The low pass filter element is configured to filter an analog input signal. The quantizer is configured to receive an analog output signal that is based on the filtered analog input signal and convert the analog output signal to a digital output signal. The digital to analog converter is configured to generate an analog feedback signal based on the digital output signal and selectively inject or absorb current associated with the feedback path to reduce noise associated with the digital to analog converter. The analog feedback signal is combined with the analog input signal at an input of the low pass filter element.

Abstract: In accordance with an embodiment of the disclosure, circuits and methods are provided for using a reconfigurable voltage controlled oscillator to support multi-mode applications. A voltage control oscillator circuit comprises a resonant circuit, a first oscillator circuitry coupled to the resonant circuit, and a second oscillator circuitry coupled to the resonant circuit. The voltage control oscillator circuit further comprises switching circuitry configured to select, based on an operating metric, one of the first oscillator circuitry and the second oscillator circuitry for providing an output voltage.

Abstract: Devices and methods capable of correcting for distortion are disclosed. For example, a method for compensating for non-idealities in a frequency-conversion circuit having a high-frequency input side separated from a baseband side by a passive mixer is presented. The method includes injecting a plurality of calibration signals in the baseband side to determine cross-talk between an In-phase (I) portion of the baseband side and a Quadrature (Q) portion of the baseband side to produce a first measurement ?+ and a second measurement ??, synthesizing a crosstalk compensation filter g(?) based on the first measurement ?+ and the second measurement ??, and applying the crosstalk compensation filter g(?) to an output of the frequency-conversion circuit.

Abstract: In one embodiment, an apparatus includes a first circuit of a digitally controlled oscillator (DCO). The first circuit has a loss component. A second circuit is coupled to the first circuit and configured to transform a positive impedance into a negative impedance in series with a negative resistance. The negative impedance includes an adjustable reactive component used to adjust a frequency of an output signal of the DCO. An equivalent reactance seen by the first circuit is less than a reactance of the adjustable reactive component.

Abstract: An analog to digital converter including a low pass filter element, a quantizer, and a digital to analog converter provide in a feedback path. The low pass filter element is configured to filter an analog input signal. The quantizer is configured to receive an analog output signal that is based on the filtered analog input signal and convert the analog output signal to a digital output signal. The digital to analog converter is configured to generate an analog feedback signal based on the digital output signal and selectively inject or absorb current associated with the feedback path to reduce noise associated with the digital to analog converter. The analog feedback signal is combined with the analog input signal at an input of the low pass filter element.

Abstract: A filtering analog to digital converter (ADC) includes an integrator receiving at its input an analog input signal. A filtering capacitor at the input of the integrator filters out a large portion of out-of-band interferers in the analog input signal. The integrator produces an output that is quantized to produce a digital output. A feedback path between the quantizer output and the integrator input includes a digital to analog converter (DAC).

Abstract: In one embodiment, an apparatus includes a first circuit of a digitally controlled oscillator (DCO). The first circuit has a loss component. A second circuit is coupled to the first circuit and configured to transform a positive impedance into a negative impedance in series with a negative resistance. The negative impedance includes an adjustable reactive component used to adjust a frequency of an output signal of the DCO. An equivalent reactance seen by the first circuit is less than a reactance of the adjustable reactive component.

Abstract: A filtering analog to digital converter (ADC) includes an integrator receiving at its input an analog input signal. A filtering capacitor at the input of the integrator filters out a large portion of out-of-band interferers in the analog input signal. The integrator produces an output that is quantized to produce a digital output. A feedback path between the quantizer output and the integrator input includes a digital to analog converter (DAC).

Abstract: The present disclosure provides for a time to digital converter (TDC). The time to digital converter can include a reference ingress that receives a reference signal and passes the reference signal through multiple delay elements, a clock signal ingress that receives a clock signal and passes the clock signal through another set of delay elements, and multiple comparators, which are fewer in number than the total number of delay elements. The multiple comparators 1) receive the delayed reference and delayed clock signals and 2) output a set of comparison results for comparisons of pairs of delayed references and delayed clock signals.