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Wideband beamformer in the frequency domain

Elminowicz A.

Hydroacoustics

2003

Vol. 6

235--242

In modern high resolution wideband sonars using linear array, beamforming constitutes one of the most difficult problems. This paper presents a new efficient method of beamforming in the frequency domain. Applying fast Fourier transforms: to transfer into the frequency domain - temporal FFT (TFFT); to make spatial filtration spatial FFT (SFFT) and to transfer from the frequency domain - inverse FFT (IFFT), as well as fast convolution in the frequency domain correlating the conjugated and corrected replicas for each beam with picked up samples of SFFT for each frequency and each beam we obtain a processing that is less calculations burdened than other known processing algorithms.

Theoretical problems of the wideband sonar time-spatial filtration

Janowski T., Kotłowski A., Porosińska E.

Hydroacoustics

2003

Vol. 6

221--228

The paper presents the synthesis of the time-spatial matched filtration algorithm. First part specifies base for the algorithm-input data. Successively, the matched filtration for continuous junction is depicted. This leads to the canonical form of the time-spatial filter. Consecutively, the decomposition into series connection of the matched and spatial filtration is realized. The next step is the signals approximation by Fourier series due to equivalence between approximation and interpolation on uniformly distributed discrete sampIes. The equation of the spatial filtration - in frequency domain - results from this mathematical operations. Application of the Bluestein's method to solve this equation provides to the final algorithm version. Advantages of the developed algorithm are presented in conclusions.