The invention provides a method for generating and analyzing random sample values. The method includes generating a random population array with a distribution and generating an array of random number coefficients by decomposing the random population array distribution using mean and variance. The array of random number coefficients is normalized and the normalized samples and antithetic samples may be mapped to the distribution of the random population array. The mapped, normalized samples and mapped normalized antithetic samples are arranged into a Walsh pattern.

In accordance with embodiments, a first counter of a plurality of counters of an apparatus receives a plurality of pulse width signals in the time domain. The first counter generates a first increment signal in the time domain from the plurality of pulse width signals based on a first row of a Discrete Transform matrix. A synchronizer of the apparatus receives the first increment signal. The synchronizer generates a first synchronized increment signal in the time domain from the first increment signal. A first accumulator of a plurality of accumulators of the apparatus receives the first synchronized increment signal. The first accumulator accumulates the first synchronized increment signal over a period of time to generate a first frequency domain signal.

A random number generation device includes: a pseudo-random number generation circuit configured to generate a plurality of first pseudo-random numbers; and an orthogonal transformation circuit configured to generate a plurality of normal random numbers by performing orthogonal transformation on the plurality of first pseudo-random numbers, or by performing orthogonal transformation on the plurality of first pseudo-random numbers and a second pseudo-random number.

In accordance with embodiments, a first counter of a plurality of counters of an apparatus receives a plurality of pulse width signals in the time domain. The first counter generates a first increment signal in the time domain from the plurality of pulse width signals based on a first row of a Discrete Transform matrix. A synchronizer of the apparatus receives the first increment signal. The synchronizer generates a first synchronized increment signal in the time domain from the first increment signal. A first accumulator of a plurality of accumulators of the apparatus receives the first synchronized increment signal. The first accumulator accumulates the first synchronized increment signal over a period of time to generate a first frequency domain signal.

The present invention relates to providing a filtered fingerprint pattern signal indicative of a fingerprint pattern with a fingerprint sensing device comprising an array of sensing elements for sensing the fingerprint pattern. Each sensing element is configured to provide a sensing signal indicative of a local fingerprint pattern feature. The method comprises: receiving analog sensing signals from each of a set of sensing elements comprising at least four sensing elements, filtering the set of sensing signals to provide a set of filtered output signals each comprising a linear combination of the set of sensing signals in which each sensing signal has a respective coefficient. The coefficients in each linear combination sum up to zero, and wherein the linear combinations are different from each other. The set of filtered output signals are converted to a filtered digital sensing signal indicative of the user's fingerprint pattern.

Embodiments described herein ensure differential privacy when transmitting data to a server that estimates a frequency of such data amongst a set of client devices. The differential privacy mechanism may provide a predictable degree of variance for frequency estimations of data. The system may use a multibit histogram model or Hadamard multibit model for the differential privacy mechanism, both of which provide a predictable degree of accuracy of frequency estimations while still providing mathematically provable levels of privacy.

An electronic device and a method for accelerating canonical polyadic (CP) decomposition are provided. The method includes: performing at least one of a Walsh-Hadamard transform (WHT) operation and a discrete cosine transform (DCT) operation on a first factor matrix, a second factor matrix, and a tensor respectively to update the first factor matrix, the second factor matrix and the tensor; sampling the updated first factor matrix and the updated second factor matrix to generate a first sampled matrix, and sampling an unfolded matrix of the updated tensor to generate a second sampled matrix; solving a least square problem of the first sampled matrix and the second sampled matrix to generate or update a third factor matrix of the tensor so as to update multiple components of the tensor; and outputting multiple components after an updating of multiple components is finished.

Methods, systems and computer readable media are disclosed for providing a quantum cipher based on phase inversion, A shared key is established between a first party and a second party. A Hadamard transformation is applied to a message intended for a second party from the first party to produce an equal superposition state. A key phase inversion is applied to the output of the Hadamard transformation. A multiple phase inversion transformation is applied to the output of the key phase inversion to produce an encrypted quantum state with a uniform probability and relative phase distributions. The result is sent to the second party.

Embodiments described herein ensure differential privacy when transmitting data to a server that estimates a frequency of such data amongst a set of client devices. The differential privacy mechanism may provide a predictable degree of variance for frequency estimations of data. The system may use a multibit histogram model or Hadamard multibit model for the differential privacy mechanism, both of which provide a predictable degree of accuracy of frequency estimations while still providing mathematically provable levels of privacy.

Disclosed by the present disclosure is a refrigerant leak detection method and device for an air conditioner. The method includes: acquiring current operating parameters of an air conditioner and environment information of a surrounding environment of the air conditioner; inputting the current operating parameters and the environment information into a trained neural network model to obtain an amount of remaining refrigerant outputted by the neural network model; and determining, according to the amount of the remaining refrigerant, whether there is a refrigerant leak in the air conditioner. The present disclosure improves accuracy of detecting a refrigerant leak in the air conditioner by means of an artificial neural network algorithm.