634 



BELL SYSTEM TECHNICAL JOURNAL 



The operation of the filter is essentially a linear transformation of co- 

 ordinates. If we think of the different frequency components as the original 

 coordinate system, the new frequency components are merely the old ones 

 multiplied by factors. The coordinate transformation matrix is thus es- 



TABLE I 



sentially diagonalized in terms of these coordinates. The Jacobian of the 

 transformation is (for n sine and n cosine components) 



/ = n I Yiu) 



