Piecewise Iterative Extrapolation Method for Bandlimited Signal

Abstract

In some high spectrally efficient communication structures, the Gerchberg-Papoulis extrapolation algorithm can be used to reconstruct nonorthogonal signals. However, the extrapolation efficiency and accuracy degrades when the energy of known signal is small or the iterative filter bandwidth is large. Focused on these drawbacks, a piecewise iterative extrapolation method is proposed to extrapolate bandlimited signals with higher extrapolation efficiency and accuracy. In this paper, the amplitude change of the unknown part over iterations is analyzed and the feasibility of the proposed extrapolation method is discussed. Numerical simulation shows the accuracy superiority of proposed method with the frequency offset compared to the GP algorithm with fixed computational complexity. Besides, the feasibility of the proposed method is verified in fractional Fourier domain with performance advantages.

Toward Efficient Geolocation in SAGIN: A Single-Satellite Geolocation Method Combined with Bandlimited Signal Extrapolation

“…When where I denotes the unit matrix with 2M orders. The stopping condition of the iteration can be set as a maximum iteration [12].…”

“…For more practical application, GPA is extended to discrete signals and the feasibility of a discrete GPA is analysed in case of uniform samples [10]. Since its simple core computation of discrete Fourier transform (DFT) for discrete signals Fourier transform (FT) for analytic signals, accelerated algorithms and extended applications are studied according to GPA [11,12]. While the interference signals may present more apparent bandlimited characteristic in some other domain, such as the LFM signals in the fractional domain.…”

“…While the interference signals may present more apparent bandlimited characteristic in some other domain, such as the LFM signals in the fractional domain. In those cases, extrapolation methods have also been modified and analysed [12][13][14][15].…”

Fast algorithms for band-limited extrapolation by over sampling and Fourier series

“…The extrapolation of band-limited signals is widely applied in Engineering, Seismology, Industrial Electronics and other fields [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

“…In [19], it is pointed out that the extrapolation for bandlimited signals is one of essential research objects in signal processing, wireless communication, and positioning scenarios where the transmitted signals are always bandlimited.…”