Improving the resolution of a continuous wavelet transform

    公开(公告)号:US12217440B2

    公开(公告)日:2025-02-04

    申请号:US17633670

    申请日:2020-07-28

    Inventor: Paul Mason

    Abstract: A computer implemented method of decoding a signal. The method includes receiving a signal (which may be an electromagnetic signal), sampling the received signal to generate an input waveform having magnitude and phase components, applying a transform operation to the input waveform to generate a first decoded signal, and outputting the first decoded signal. The transform operation includes pre-processing the input waveform to generate a mirrored inverted waveform and applying a continuous wavelet transform to the mirrored inverted waveform to generate the first decoded signal. This allows inversion of the frequency and temporal resolution of the continuous wavelet transform, thereby enabling improved temporal and frequency decoding of a signal. The method is particularly suitable for signal filters and filtering units.

    IMPROVING THE RESOLUTION OF A CONTINUOUS WAVELET TRANSFORM

    公开(公告)号:US20220319022A1

    公开(公告)日:2022-10-06

    申请号:US17633670

    申请日:2020-07-28

    Inventor: Paul Mason

    Abstract: A computer implemented method of decoding a signal. The method includes receiving a signal (which may be an electromagnetic signal), sampling the received signal to generate an input waveform having magnitude and phase components, applying a transform operation to the input waveform to generate a first decoded signal, and outputting the first decoded signal. The transform operation includes pre-processing the input waveform to generate a mirrored inverted waveform and applying a continuous wavelet transform to the mirrored inverted waveform to generate the first decoded signal. This allows inversion of the frequency and temporal resolution of the continuous wavelet transform, thereby enabling improved temporal and frequency decoding of a signal. The method is particularly suitable for signal filters and filtering units.

    METHOD AND APPARATUS FOR SIGNAL REGENERATION

    公开(公告)号:US20220123844A1

    公开(公告)日:2022-04-21

    申请号:US17427886

    申请日:2020-01-31

    Abstract: A method (10) of regenerating a signal is provided. The method involves sampling (13) a received signal to obtain a plurality of samples each having an associated magnitude. The samples are sorted (15) to obtain a statistical distribution (which may be a histogram). Known distributions are fitted to the statistical distribution using a fitting operation (16, 17), and for each a measure of similarity is obtained. A matched distribution is then determined from the measures of similarity (18), that is subsequently used to regenerate a signal (12) that itself is statistically representative of the originally sampled signal. Such a method mitigates the storage burden associated with the recording and subsequent regeneration of representative wireless signal environments for wireless device testing. Also relates to an apparatus for the same.

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