Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission. In various embodiments, transmitter and receivers utilizing symbol waveforms based on a PSW alphabet designed may be in wireless and/or wired data transmission systems that may or may not include transmitters and receivers employing traditional modulation formats.

Systems, devices, and methods of the present invention enhance data transmission through the use of polynomial symbol waveforms (PSW) and sets of PSWs corresponding to a symbol alphabet is here termed a PSW alphabet. Methods introduced here are based on modifying polynomial alphabet by changing the polynomial coefficients or roots of PSWs and/or shaping of the polynomial alphabet, such as by polynomial convolution, to produce a designed PSW alphabet including waveforms with improved characteristics for data transmission. In various embodiments, transmitter and receivers utilize symbol waveforms based on a PSW alphabet designed using methods that may include specifying the location of particular polynomial roots, such as placing roots at the symbol time boundaries with amplitude zero, to minimize symbol boundary discontinuities, translating the nearest polynomial root to a particular point in the complex plane, directly editing the location of one or more polynomial roots, adjusting the complex conjugate of an edited PSW root in order to keep the PSW real-valued, and shaping one of more PSWs using polynomial convolution with polynomial versions of the raised cosine, root raised cosine, Gaussian, or other band-limiting filters. Stochastic methods for PSW optimization are also introduced.

Embodiments of the present invention provide methods, systems, and computer-readable storage medium for managing access to an application on a mobile computing device. In an embodiment, a method includes receiving a request from a user to return to the application and return to a previous screen of the application on the mobile computing device, and determining, using a processor, whether the previous screen of the application was in a secured area of the application. If it was in the secured area, then an authentication protocol is triggered prior to allowing the user to return to the previous screen in the secured area of the application on the mobile computing device. In another embodiment, geolocation dependent information is provided to a user via an application on a mobile computing device.

A transmitting device (e.g., a base station, a user equipment (UE)) may pre-generate waveform components, for a transmission to be sent subsequent to a listen before talk (LBT) procedure, based on a waveform generation capability of the transmitting device (e.g., based on their memory storage capability, their ability to combine waveform components in the time domain following a per subband LBT procedure, etc.). Further, certain behavior or rules (e.g., which waveform components are generated, how many subbands are included in a waveform component, etc.) may be expected by both a base station and a UE depending on the waveform generation capability of the transmitting device and the resource allocation. Additionally, resource block group (RBG) configurations (e.g., RBG definitions) for improved resource allocation are also described. A bases station may indicate one or more guard band boundaries to a UE to indicate such RBG configurations that account for guard bands.

Systems, methods and devices for communicating comprise one or more of a computer-readable media, a computer, a satellite communication device and a mobile device, wherein the at least one of a computer-readable media, a computer, a satellite communication device and a mobile device to perform at least one of supplying data as input communication symbols to an encoder, which converts the input communication symbols into transmittable waveforms having a head function and a tail function, which are different. A transmitter transmits transmittable waveforms over a communication channel, which is received by a receiver, then demodulated and output communication symbols carrying the data to at least one of a user, a secondary computer-readable media, a secondary computer, a secondary satellite communication device and a secondary mobile device.

The present invention relates to a wavelet bandpass sampling method, with low aliasing and a corresponding device. The analogue signal to sample is correlated with a sequence of wavelets succeeding each other with a rate f.sub.p of which the positions in the sequence are temporally modulated from arguments of a CAZAC sequence, notably a Zadoff-Chu sequence. The correlation results are next sampled at a frequency f.sub.sf.sub.p and digitally converted to provide a compressed representation of the signal. The temporal modulation of the positions of the wavelets makes it possible to obtain incoherent aliasing of the correlation signal in the sampling band and thereby to reduce aliasing.

Systems and methods for processing online data are disclosed. One such method includes receiving a plurality of data points in a time-series at a short term storage. The method also includes calculating at least one approximation coefficient based on the plurality of data points using a wavelet transform, including calculating a highest level approximation coefficient, and calculating estimated value based on the highest level approximation coefficient. The method further includes calculating differences between the estimated value and the plurality of data points of the short term storage, and determining whether a maximum difference among the calculated differences is less than a predetermined threshold. The method further includes, based on the maximum difference being greater than or equal to the predetermined threshold, storing the oldest data point of the short term storage in a long term storage.

Embodiments are disclosed for moment estimation in high-speed electrical signal processing. An example apparatus includes a first attenuator configured to attenuate a first analog signal to be integrated so as to generate a first attenuated signal. The apparatus further includes a second attenuator configured to attenuate a second analog signal to be integrated so as to generate a second attenuated signal. The apparatus further includes a first slicer configured to directly receive the first attenuated signal from the first attenuator and to slice the first attenuated signal to generate a first quantized signal. The first slicer introduces Gaussian noise to the first attenuated signal. The apparatus further includes a second slicer configured to directly receive the second attenuated signal from the second attenuator and to slice the second attenuated signal to generate a second quantized signal. The second slicer introduces Gaussian noise to the second attenuated signal. The apparatus further includes an exclusive or (XOR) gate configured to receive the first quantized signal and the second quantized signal as input. The apparatus further includes an integrator configured to receive an output of the XOR gate, wherein an output of the integrator is used for moment estimation.

Currently, wideband channel simulation/emulation is carried out through channel realizations obtained from dispersion functions dictated by communication standards, in order to perform the tests and validation of the new data communication schemes. However, the channel models available in the state of the art only consider the simulation/emulation of stationary channels with separable dispersion characteristics, allowing only the treatment of unrealistic channels. The present invention describes and details a method and apparatus for performing the channel simulation/emulation in scenarios where the channel is doubly selective, i.e., selective in time and frequency, where the simulation/emulation is of an arbitrarily long duration, and for a channel that is locally non-stationary in time, not stationary in frequency and with a non-separable dispersion function. To solve this, the orthogonalization technique of the channel is used in conjunction with a windowing scheme in order to generate arbitrarily long realizations of doubly dispersive channels.

A technology related to a distributed antenna system is disclosed. In an exemplary embodiment, a distributed antenna system may include a master unit and a plurality of remote units. The master unit may be interfaced with a wireless communications network and perform a bidirectional simultaneous digital radio frequency distribution of a wireless signal. The plurality of remote units may be each coupled to the master unit, and each perform a wireless transmission or reception of a split radio frequency signal to or from terminals located within a coverage. The master unit and the plurality of remote units may transmit or receive digital radio frequency signals in a wavelet transform domain. The master unit may determine whether the digital radio frequency signal, transmitted by each of the remote units, is normal, and merge the digital radio frequency signals.