The dense signal identification based on inner product and iteration

The dense signal identification requires resolving leakage-error and the cross-interference produced by the different frequency signals at the same time. Inner product and iteration calculation are combined to identify the dense signal. The max of amplitude of inner product is searched to estimate the parameters of a signal initially; then the estimated signal is subtracted from the total signal and a residual signal is obtained. Identify the next frequency signal from the residual signal. Iteration calculation is adopted to repeat this process. Inner product and iteration calculation function together to decrease leakage-error and the cross-interference for a dense signal. In consideration of the effect of the negative frequency term, it is also subtracted from total signal in the iteration calculation. This is a key calculation for making the estimated values close to its true values. Simulation examples verify the effective of this method. Then noise disturbance is investigated and the method is still effective.