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In this paper, a compressed sensing approach for the reconstruction of 2D sparse signals with missing samples is presented. The statistical behavior of transform coefficients in the case of randomly undersampled signals is exploited as the basis of a simple algorithm for the signal support detection. With the detected signal support various reconstruction methods can be applied in the signal recovery:...
Rounding error in the discrete Fourier transform calculated with fast fixed-point algorithms is considered. It is shown that the variance of the rounding error depends on frequency index. Theoretically obtained results for error variance are statistically checked on decimation-in-time fast Fourier transform with two rounding methods.
A new coherent optical transmission system is proposed that makes use of the digital multicarrier fractional Fourier transform to obtain serial optical Nyquist pulses at the receiver side in the time domain by adopting the time-lens effect. Theoretical time-lens effect is derived based on fractional Fourier transform (FrFT) and chromatic dispersion effect. A fundamental study to explore the limits...
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