CPC G01R 23/165 (2013.01) [G06F 17/141 (2013.01); H03H 17/0213 (2013.01); H04B 1/1027 (2013.01)] | 32 Claims |
1. A method for performing fractional Fourier transform (FrFT)-based spectrum analysis, comprising:
receiving radio frequency (RF) signals for a portion of an RF spectrum at a sampling rate ƒs, by a receiver;
collecting a block of M samples from the received RF signals, by a spectrum analyzer;
applying the FrFT to the block of M samples, by the spectrum analyzer, to rotate axes for a time domain and a frequency domain by an initial rotational parameter a, producing a rotated portion of the RF spectrum; and
responsive to the one or more signals not being detected above the noise floor for the initial value of a:
incrementing a by an amount Δa, by the spectrum analyzer,
performing the FrFT on the block of M samples, by the spectrum analyzer, for the incremented a, and
passing the M samples through a bandpass filter that removes other signals outside a bandpass filtering bandwidth, wherein
the incrementing of a by Δa and the performing of the FrFT for the incremented a are repeated until the one or more signals are detected above the noise floor or the incremented a equals a final value of a.
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