Array signal processing is widely used in some areas such as radar andcommunication, including beamforming and parameter estimation. The spatial-temporal snapshots are obtained from the received data of array antenna. This thesisdeals with some problems of array signal processing in spatial-temporal undersampling.Based on the analysis of solving ambiguity, the thesis presents several algorithms forestimating DOA and an algorithm for estimating frequency by using methods ofsubspace parameter estimation under sub-nyquist spatio-temporal sampling condition.At the same time the case of coherent signal sources is also discussed and an algorithm forestimating 1-D angle-of-arrival from under-sampled data is proposed in the thesis.Moreover, a system of digital signal processing receiver using spatio-temporalundersampling technique is described and some practical problems are also discussed.
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