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Therefore, we seek to choose the modulation sequences such that 1 P is as close to being orthogonal to w i as possible, for i = 1, 2, ⋯, N. To this end, we define the following correlation coefficients: γ i = w i T 1 P ∥ w i ∥ 2 ∥ 1 P ∥ 2, i = 1, 2, ⋯, N, (3.20).
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The sampling scheme in [15] is demonstrated to possess great reconstruction performance with time domain modulation measurement functions constructed by Bernoulli random matrix and Gabor window sequences, such as piecewise spline or B-spline window sequences.
Since q is formed from the modulation sequences, we need to design the modulation sequences to minimize ∥q∥2 and the effect of the resulting perturbation term.
However, there is little research for DOA estimation using modulation sequences.
Hence, we can properly choose the modulation sequences to improve the performance of estimation.
However, the high nonlinearity of the modulation sequences contained in q makes it difficult to design.
The design of the modulation sequences when noise is present is given in Section 3.2.
are scalar sequences such that.
Define a sequence such that.
Consider a sequence such that.
Although these authors present integrated systems using object-specific attentional modulation, such modulation is obtained by performing an offline optimization based on heuristically defined positive and negative examples.
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