Abstract: A LiDAR and a method of a fast photon-count integration for a LiDAR are disclosed. The proposed method, wherein the LiDAR includes a laser, includes: providing a target and the LiDAR; causing the laser to fire a laser pulse towards the target according to a random mechanism; and causing an interval between two adjacent laser pulses to be less than a time that the laser spent for a round trip of maximum unambiguous range to speed up a detection and a ranging of the target.

Abstract: A system and method for LiDAR defogging is disclosed. The method comprises: applying a detection device to determine the fog status and generate a histogram; determining the fog concentration between a target location and the detection device in the histogram according to the histogram; and applying a defogging method to defog the fog concentration between the target location and the detecting device.

Abstract: A receiver for processing frequency division multiplexing (FDM) signals, the receiver includes a processor configured to: convert the FDM signals from at least two transmitters into frequency domain signals; determine a first component of the frequency domain signals, the first component of the frequency domain signals comprising a channel noise and a composite residual inter-carrier interference (ICI) contributed by the at least two transmitters; calculate a set of correlation values corresponding to the first component of the frequency domain signals; and process the first component of the frequency domain signals based on the set of correlation values.

Abstract: A method for processing a frequency division multiplexing signal transmitted in a channel is provided. The method includes the steps of a) receiving the frequency division multiplexing signal having a residual intercarrier interference (ICI) and a channel noise and transmitted by plural subcarriers; b) performing a cyclic prefix removal and a discrete Fourier transform for the frequency division multiplexing signal to obtain a frequency-domain signal; c) analyzing the frequency-domain signal to obtain a plurality of correlation values for the residual ICI and the channel noise; and d) performing a communication signal processing for the frequency division multiplexing signal based on at least one of the plural correlation values.

Abstract: A method for processing a frequency division multiplexing signal transmitted in a channel is provided. The method includes the steps of a) receiving the frequency division multiplexing signal having a residual intercarrier interference (ICI) and a channel noise and transmitted by plural subcarriers; b) performing a cyclic prefix removal and a discrete Fourier transform for the frequency division multiplexing signal to obtain a frequency-domain signal; c) analyzing the frequency-domain signal to obtain a plurality of correlation values for the residual ICI and the channel noise; and d) performing a communication signal processing for the frequency division multiplexing signal based on at least one of the plural correlation values.

Abstract: A communication device adopted for a multi-input multi-output orthogonal frequency division multiplexing (MIMO-OFDM) system and a method thereof are provided. The MIMO-OFDM system comprises the communication device and a corresponding communication device, and they communicate with each other. The communication device comprises a transceiving module, a singular value decomposition (SVD) operation module, and an interpolation operation module. The transceiving module receives a channel state information (CSI) from the corresponding communication device, wherein the CSI comprises CSIs of a plurality of selected subcarriers. For each of the selected subcarriers, the SVD module performs an SVD decomposition operation on the channel matrix representing the CSI of the selected subcarrier to obtain a decomposed result, wherein the decomposed result comprises a beamforming matrix, an SVD matrix, and a decoding matrix.

Abstract: A communication device adopted for a multi-input multi-output orthogonal frequency division multiplexing (MIMO-OFDM) system and a method thereof are provided. The MIMO-OFDM system comprises the communication device and a corresponding communication device, and they communicate with each other. The communication device comprises a transceiving module, a singular value decomposition (SVD) operation module, and an interpolation operation module. The transceiving module receives a channel state information (CSI) from the corresponding communication device, wherein the CSI comprises CSIs of a plurality of selected subcarriers. For each of the selected subcarriers, the SVD module performs an SVD decomposition operation on the channel matrix representing the CSI of the selected subcarrier to obtain a decomposed result, wherein the decomposed result comprises a beamforming matrix, an SVD matrix, and a decoding matrix.

Abstract: An image reconstruction method for diffuse optical tomography is implemented using a diffuse optical tomography system, and includes the steps of: a) activating one of optical detecting units of the diffuse optical tomography system to emit a near-infrared ray to illuminate a target for outputting a received light signal corresponding to one of a plurality of sub-frames of the tomographic image of the target; b) obtaining a light intensity matrix based upon the received light signal; c) obtaining an absorption coefficient matrix corresponding to the one of the sub-frames based upon a product of the light intensity matrix and an inverse matrix of a weight matrix; d) repeating steps a) to c) with activating another one of the optical detecting units until the absorption coefficient matrices corresponding respectively to the sub-frames are obtained; and e) reconstructing the tomographic image of the target based upon the absorption coefficient matrices.

Abstract: A method includes converting a received time domain digital signal to a corresponding frequency domain digital signal, calculating phase angles of tones of at least one symbol of the frequency domain digital signal when a symbol timing offset exists, and calculating at least one differential phase offset (DPO). A DPO is the difference between two consecutive gaps, a gap being the difference between the phase angle of a tone of the symbol of the frequency domain digital signal when the timing offset of the symbol exists and a correct phase angle of the tone of the symbol of the frequency domain digital signal. The method estimates the symbol timing offset with at least one DPO.

Abstract: According to an embodiment of present invention, an algorithm for computing static pre-equalizer coefficients, comprises the steps of determining a length of algorithm iterations; calculating a feedforward coefficient vector associated with a feedforward equalizer; calculating a pre-equalizer coefficient vector associated with a pre-equalizer filter; and performing the steps of calculating for the length of the algorithm iterations; wherein a mean square of an error between an output sequence and a transmitted digital input sequence is minimized.

Abstract: A method includes converting a received time domain digital signal to a corresponding frequency domain digital signal, calculating phase angles of tones of at least one symbol of the frequency domain digital signal when a symbol timing offset exists, and calculating at least one differential phase offset (DPO). A DPO is the difference between two consecutive gaps, a gap being the difference between the phase angle of a tone of the symbol of the frequency domain digital signal when the timing offset of the symbol exists and a correct phase angle of the tone of the symbol of the frequency domain digital signal. The method estimates the symbol timing offset with at least one DPO.

Abstract: According to an embodiment of present invention, an algorithm for computing static pre-equalizer coefficients, comprises the steps of determining a length of algorithm iterations; calculating a feedforward coefficient vector associated with a feedforward equalizer; calculating a pre-equalizer coefficient vector associated with a pre-equalizer filter; and performing the steps of calculating for the length of the algorithm iterations; wherein a mean square of an error between an output sequence and a transmitted digital input sequence is minimized.

Abstract: A sigma-delta circuit converts an analog or digital input sequence xn representing a quantity with at least p-bit resolution into an m-bit output sequence yn, where m<p<0. The sigma-delta circuit offsets the xn sequence by a first feedback sequence cn that is proportional to output sequence yn to produce a sequence an. The signal-delta circuit filters the an sequence using a filter having a transfer function H(z−1) to produce a sequence dn that is offset by a second feedback sequence rn to produce an analog or digital sequence bn. The bn sequence is then digitized or quantized to produce the lower resolution m-bit output yn sequence.

Abstract: A minimum mean square error linearly constrained fast algorithm for adaptive training of a Time Domain Equalizer (MLC-TEQ) is provided. A fast adaptive algorithm of the present invention may be used to obtain Finite Impulse Response (FIR) filter coefficients for Time domain Equalizer (TEQ) used in Discrete Multitone (DMT) based applications, such as ADSL, for example. The TEQ coefficients obtained by the algorithm of the present invention shortens the overall effective discrete time channel impulse response length within a given target length (e.g., symbol prefix length for DMT application). Advantages of the proposed data aided adaptive algorithm may include providing the TEQ filter coefficients with near-optimal performance; having low computational requirements, having fast convergence, and exhibiting attractive stability properties. Other advantages may also be realized by the present invention and variations thereof.

Abstract: A weighted error echo canceller for transceivers with unequal bandwidths is provided. The present invention enables an adaptive echo cancellation filter to perform at a lower sample rate. An efficient echo cancellation scheme, referred to as Weighted Vector Error Echo Canceller (WEVE-EC) is proposed for various applications, such as applications where the receive path has a higher sampling rate. The WEVE-EC architecture may be implemented along with an adaptive algorithm, which may be based on Least Mean Square (LMS) update rules. Various other adaptive algorithms may be used to train the WEVE-EC of the present invention. An Error Weighting Multi-input-multi-output Filter (EWMF) of the present invention provides a flexible weighting scheme on most or all the sampling phases of the error signal.