If the set of linear equations from the equation \(\sum_{k=0}^M b_k r_{hh} (k-l)=r_{dh} (l)\), l=0,1,…M are expressed in matrix form, then what is the type of matrix obtained?(a) Symmetric matrix(b) Skew symmetric matrix(c) Toeplitz matrix(d) Triangular matrixI had been asked this question by my college director while I was bunking the class.This interesting question is from FIR Least Squares Inverse Filters topic in section Digital Filters Design of Digital Signal Processing

If the set of linear equations from the equation \(\sum_{k=0}^M b_k r_

1.	If the set of linear equations from the equation \(\sum_{k=0}^M b_k r_{hh} (k-l)=r_{dh} (l)\), l=0,1,…M are expressed in matrix form, then what is the type of matrix obtained?(a) Symmetric matrix(b) Skew symmetric matrix(c) Toeplitz matrix(d) Triangular matrixI had been asked this question by my college director while I was bunking the class.This interesting question is from FIR Least Squares Inverse Filters topic in section Digital Filters Design of Digital Signal Processing
Answer» Correct ANSWER is (C) Toeplitz MATRIX To elaborate: We observe that the matrix is not only symmetric but it also has the special property that all the elements ALONG any diagonal are equal. Such a matrix is CALLED a Toeplitz matrix and lends itself to efficient inversion by means of an algorithm.

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