Abstract: Communication systems and methods in accordance with various embodiments of the invention utilize modulation on zeros. Carrier frequency offsets (CFO) can result in an unknown rotation of all zeros of a received signal's z-transform. Therefore, a binary MOCZ scheme (BMOCZ) can be utilized in which the modulated binary data is encoded using a cycling register code (e.g. CPC or ACPC), enabling receivers to determine cyclic shifts in the BMOCZ symbol remitting from a CFO. Receivers in accordance with several embodiments of the invention include decoders capable of decoding information bits from received discrete-time baseband signals by: estimating a timing offset for the received signal; determining a plurality of zeros of a z-transform of the received symbol; identifying zeros from the plurality of zeros that encode received bits by correcting fractional rotations resulting from the CFO; and decoding information bits based upon the received bits using a cycling register code.

Abstract: This present disclosure provides methods and systems for measuring the concentration of multiple nucleic acid sequences in a sample. The nucleic acid sequences in the sample are simultaneously amplified, for example, using polymerase chain reaction (PCR) in the presence of an array of nucleic acid probes. The amount of amplicon corresponding to the multiple nucleic acid sequences can be measured in real-time during or after each cycle using a real-time microarray. The measured amount of amplicon produced can be used to determine the original amount of the nucleic acid sequences in the sample. Also provided herein are biosensor arrays, systems and methods for affinity based assays that are able to simultaneously obtain high quality measurements of the binding characteristics of multiple analytes, and that are able to determine the amounts of those analytes in solution. The present disclosure also provides a fully integrated bioarray for detecting real-time characteristics of affinity based assays.

Abstract: Disclosed herein are systems and methods for estimating target ranges, angles of arrival, and speed using optimization procedures. Target ranges are estimated by performing an optimization procedure to obtain a denoised signal, performing a correlation of a transmitted waveform and the denoised signal, and using a result of the correlation to determine an estimate of a distance between the sensor and at least one target. Target angles of arrival are estimated by determining ranges at which targets are located, and, for each range, constructing an array signal from samples of received echo signals, and using the array signal, performing another optimization procedure to estimate a respective angle of arrival for each target of the at least one target. Doppler shifts may also be estimated using another optimization procedure. Certain of the optimization procedures use atomic norm techniques.

Abstract: A hybrid LiDAR system may include a long-range LiDAR subsystem characterized by a first range and a first azimuth angular coverage, and a short-range LiDAR subsystem characterized by a second range and a second azimuth angular coverage, wherein the first range is greater than the second range, and the second azimuth angular coverage is greater than the first azimuth angular coverage.

Abstract: Systems and methods for transmitting data using various Modulation on Zeros schemes are described. In many embodiments, a communication system is utilized that includes a transmitter having a modulator that modulates a plurality of information bits to encode the bits in the zeros of the z-transform of a discrete-time baseband signal. In addition, the communication system includes a receiver having a decoder configured to decode a plurality of bits of information from the samples of a received signal by: determining a plurality of zeros of a z-transform of a received discrete-time baseband signal based upon samples from a received continuous-time signal, identifying zeros that encode the plurality of information bits, and outputting a plurality of decoded information bits based upon the identified zeros.

Abstract: Disclosed herein are multiple-input, multiple-output (MIMO) LiDAR systems in which the fields of view of multiple illuminators (e.g., lasers) overlap and/or fields of view of multiple detectors (e.g., photodiodes) overlap. Some embodiments provide for illuminators that transmit substantially white pulse sequences that are substantially uncorrelated with each other so that they can be distinguished from one another when detected by a single detector.

Abstract: Communication systems and methods in accordance with various embodiments of the invention utilize modulation on zeros. Carrier frequency offsets (CFO) can result in an unknown rotation of all zeros of a received signal's z-transform. Therefore, a binary MOCZ scheme (BMOCZ) can be utilized in which the modulated binary data is encoded using a cycling register code (e.g. CPC or ACPC), enabling receivers to determine cyclic shifts in the BMOCZ symbol resulting from a CFO. Receivers in accordance with several embodiments of the invention include decoders capable of decoding information bits from received discrete-time baseband signals by: estimating a timing offset for the received signal; determining a plurality of zeros of a z-transform of the received symbol; identifying zeros from the plurality of zeros that encode received bits by correcting fractional rotations resulting from the CFO; and decoding information bits based upon the received bits using a cycling register code.

Abstract: Disclosed herein are systems and methods for estimating target ranges, angles of arrival, and speed using optimization procedures. Target ranges are estimated by performing an optimization procedure to obtain a denoised signal, performing a correlation of a transmitted waveform and the denoised signal, and using a result of the correlation to determine an estimate of a distance between the sensor and at least one target. Target angles of arrival are estimated by determining ranges at which targets are located, and, for each range, constructing an array signal from samples of received echo signals, and using the array signal, performing another optimization procedure to estimate a respective angle of arrival for each target of the at least one target. Doppler shifts may also be estimated using another optimization procedure. Certain of the optimization procedures use atomic norm techniques.

Abstract: Disclosed herein are light detection and ranging (LiDAR) systems and methods of using them. In some embodiments, a LiDAR system comprises an array of optical components and at least one processor coupled to it. The array comprises n1 illuminators configured to illuminate a point in space, and n2 detectors configured to observe the point in space, wherein n1×n2>2 and the illuminators and n2 detectors are situated in a non-collinear arrangement. The at least one processor is configured to determine a first time-of-flight set corresponding to a first location of the LiDAR system at a first time; determine a second time-of-flight set corresponding to a second location of the LiDAR system at a second time; and solve an optimization problem to estimate a position of the target, wherein the optimization problem minimizes a cost function that takes into account the first time-of-flight set and the second time-of-flight set.

Abstract: Disclosed herein are light detection and ranging (LiDAR) systems. In some embodiments, a LiDAR system comprises a plurality of N illuminators, each of the plurality of N illuminators configured to illuminate a respective one of a plurality of N illuminator fields-of-view (FOVs); a detector comprising at least one focusing component and at least one detector array, wherein the detector is configured to observe a detector FOV that overlaps at least a first illuminator FOV of the plurality of N illuminator FOVs; and at least one processor configured to cause a first illuminator of the plurality of N illuminators to emit an optical pulse to illuminate the first illuminator FOV, obtain a signal representing at least one reflected optical pulse detected by the detector, and determine a position of at least one target using the signal.

Abstract: Disclosed herein are optical systems (e.g., LiDAR systems) and methods with improved eye safety. In some embodiments, a system includes a first light emitter configured to illuminate a first field of view (FOV) using light emitted at a first wavelength and a second light emitter configured to illuminate a second FOV using light emitted at a second wavelength. The second FOV is wider than the first FOV, and the first FOV extends to a further distance from the system than the second FOV. The system also includes a sensor configured to detect reflections off of targets within the second FOV, and at least one processor configured to execute one or more machine executable instructions.

Abstract: Systems and methods for transmitting data using various Modulation on Zeros schemes are described. In many embodiments, a communication system is utilized that includes a transmitter having a modulator that modulates a plurality of information bits to encode the bits in the zeros of the z-transform of a discrete-time baseband signal. In addition, the communication system includes a receiver having a decoder configured to decode a plurality of bits of information from the samples of a received signal by: determining a plurality of zeros of a z-transform of a received discrete-time baseband signal based upon samples from a received continuous-time signal, identifying zeros that encode the plurality of information bits, and outputting a plurality of decoded information bits based upon the identified zeros.

Abstract: This invention provides methods and systems for measuring the concentration of multiple nucleic acid sequences in a sample. The nucleic acid sequences in the sample are simultaneously amplified, for example, using polymerase chain reaction (PCR) in the presence of an array of nucleic acid probes. The amount of amplicon corresponding to the multiple nucleic acid sequences can be measured in real-time during or after each cycle using a real-time microarray. The measured amount of amplicon produced can be used to determine the original amount of the nucleic acid sequences in the sample. Also provided herein are biosensor arrays, systems and methods for affinity based assays that are able to simultaneously obtain high quality measurements of the binding characteristics of multiple analytes, and that are able to determine the amounts of those analytes in solution. The invention also provides a fully integrated bioarray for detecting real-time characteristics of affinity based assays.

Abstract: Communication systems and methods in accordance with various embodiments of the invention utilize modulation on zeros. Carrier frequency offsets (CFO) can result in an unknown rotation of all zeros of a received signal's z-transform. Therefore, a binary MOCZ scheme (BMOCZ) can be utilized in which the modulated binary data is encoded using a cycling register code (e.g. CPC or ACPC), enabling receivers to determine cyclic shifts in the BMOCZ symbol resulting from a CFO. Receivers in accordance with several embodiments of the invention include decoders capable of decoding information bits from received discrete-time baseband signals by: estimating a timing offset for the received signal; determining a plurality of zeros of a z-transform of the received symbol; identifying zeros from the plurality of zeros that encode received bits by correcting fractional rotations resulting from the CFO; and decoding information bits based upon the received bits using a cycling register code.

Abstract: Disclosed herein are systems and methods for estimating target ranges, angles of arrival, and speed using optimization procedures. Target ranges are estimated by performing an optimization procedure to obtain a denoised signal, performing a correlation of a transmitted waveform and the denoised signal, and using a result of the correlation to determine an estimate of a distance between the sensor and at least one target. Target angles of arrival are estimated by determining ranges at which targets are located, and, for each range, constructing an array signal from samples of received echo signals, and using the array signal, performing another optimization procedure to estimate a respective angle of arrival for each target of the at least one target. Doppler shifts may also be estimated using another optimization procedure. Certain of the optimization procedures use atomic norm techniques.

Abstract: Communication systems and methods in accordance with various embodiments of the invention utilize modulation on zeros. Carrier frequency offsets (CFO) can result in an unknown rotation of all zeros of a received signal's z-transform. Therefore, a binary MOCZ scheme (BMOCZ) can be utilized in which the modulated binary data is encoded using a cycling register code (e.g. CPC or ACPC), enabling receivers to determine cyclic shifts in the BMOCZ symbol resulting from a CFO. Receivers in accordance with several embodiments of the invention include decoders capable of decoding information bits from received discrete-time baseband signals by: estimating a timing offset for the received signal; determining a plurality of zeros of a z-transform of the received symbol; identifying zeros from the plurality of zeros that encode received bits by correcting fractional rotations resulting from the CFO; and decoding information bits based upon the received bits using a cycling register code.

Abstract: Systems and methods for transmitting data using various Modulation on Zeros schemes are described. In many embodiments, a communication system is utilized that includes a transmitter having a modulator that modulates a plurality of information bits to encode the bits in the zeros of the z-transform of a discrete-time baseband signal. In addition, the communication system includes a receiver having a decoder configured to decode a plurality of bits of information from the samples of a received signal by: determining a plurality of zeros of a z-transform of a received discrete-time baseband signal based upon samples from a received continuous-time signal, identifying zeros that encode the plurality of information bits, and outputting a plurality of decoded information bits based upon the identified zeros.

Abstract: Disclosed herein are systems, devices, and methods that may be used for autonomous driving and/or in autonomous vehicles. Some embodiments use an integrated wide-aperture multi-band radar subsystem and leverage the unique propagation properties of multiple bands and/or multiple sensor technologies to significantly improve detection and understanding of the scenery and, in particular, to see around corners to identify non-line-of-sight targets. In some embodiments, at least one processor of the system is capable of jointly processing return (reflected) signals in multiple bands to provide high accuracy in a variety of conditions (e.g., weather). The disclosed radar subsystem can be used alone or in conjunction with another sensing technology, such as, for example, LiDAR and/or cameras.

Abstract: Systems and methods for transmitting data using various Modulation on Zeros schemes are described. In many embodiments, a communication system is utilized that includes a transmitter having a modulator that modulates a plurality of information bits to encode the bits in the zeros of the z-transform of a discrete-time baseband signal. In addition, the communication system includes a receiver having a decoder configured to decode a plurality of bits of information from the samples of a received signal by: determining a plurality of zeros of a z-transform of a received discrete-time baseband signal based upon samples from a received continuous-time signal, identifying zeros that encode the plurality of information bits, and outputting a plurality of decoded information bits based upon the identified zeros.

Abstract: Communication systems and methods in accordance with various embodiments of the invention utilize modulation on zeros. Carrier frequency offsets (CFO) can result in an unknown rotation of all zeros of a received signal's z-transform. Therefore, a binary MOCZ scheme (BMOCZ) can be utilized in which the modulated binary data is encoded using a cycling register code (e.g. CPC or ACPC), enabling receivers to determine cyclic shifts in the BMOCZ symbol resulting from a CFO. Receivers in accordance with several embodiments of the invention include decoders capable of decoding information bits from received discrete-time baseband signals by: estimating a timing offset for the received signal; determining a plurality of zeros of a z-transform of the received symbol; identifying zeros from. the plurality of zeros that encode received bits by correcting fractional rotations resulting from the CFO; and decoding information bits based upon the received bits using a cycling register code.