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Fig. 1 | EURASIP Journal on Advances in Signal Processing

Fig. 1

From: Orthogonality is superiority in piecewise-polynomial signal segmentation and denoising

Fig. 1

Illustration of the signal parameterization. The top plot shows four segments of a piecewise-polynomial signal (both the samples and the underlying continuous-time model); each segment is of the second order. The middle plot are the three basis polynomials, i.e., the diagonals of matrices Pk (in this particular case, the respective sampled vectors are mutually orthonormal, actually). The parameterization coefficients shown in the bottom plot are vectors x0,x1, and x2. Notice that infinitely many other combinations of values in x0,x1, and x2 generate the same signal, but we show the piecewise-constant case which is of the greatest interest for our study

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