Title :
Some properties of generalized 2-D mirror image and anti mirror image polynomials
Author :
Ramachandran, V. ; Ramachandran, Ravi P. ; Gargour, C.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
This paper considers a new generalized method of formulating 2D mirror-image polynomials (TMIP) and anti-mirror-image polynomials (TAMIP), starting from the 2D denominator polynomial of a digital transfer function. The sets of polynomials are obtained such that the magnitude response of the starting transfer function is unaltered. The different cases for the TMIP and the TAMIP are presented along with how the TMIP and TAMIP can be used to test the minimum phase property of the 2D polynomial they were derived from. The concept and new properties of a 2D discrete reactance function are introduced.
Keywords :
electric reactance; frequency response; polynomials; signal processing; transfer functions; 2D denominator polynomial; 2D discrete reactance function; anti mirror image polynomials; digital transfer function; generalized 2D mirror image; magnitude response; minimum phase property; Frequency response; Mirrors; Polynomials; Testing; Transfer functions;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465089