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What Is the Definition of Linear Predictive Coefficients When the Optimal Value Aren't Unique?

Linear predictive coefficients of signal y are defined as the best $k$ coefficients $a_i, i = 1, \ldots, k$, that will approximate $y_n$ by $-\sum_{i=1}^k{a_iy_{n-i}}$. (Best approximation is that whi …
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What Is the Definition of Linear Predictive Coefficients When the Optimal Value Aren't Unique?

Constant zero sequence is the only finite sequence for which $a_i$ are not uniquely defined. Indeed, $a_i$ are a solution to the equation $$ \begin{bmatrix} R_0 && R_1 && \ldots && R_{k-1} \\ R_1 && …
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