Title :
A new metric for comparing performance of high-order spectral-null codes
Author :
Xin, Yan ; Fair, Ivan J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta., Canada
Abstract :
We introduce a new metric, low-frequency spectrum-weight (LFSW), for evaluating spectrum compression of arbitrarily high-order spectral-null (HOSN) codes around dc. We show that the asymptotic low-frequency spectral components of Mth-order spectral-null codes (dc M-free codes, M⩾1) are exclusively determined by the order M and the LFSW, and that LFSW equals the zero-frequency spectral content of the corresponding sequence of Mth-order running digital sum values. Closed-form expressions for LFSW of HOSN codes constructed through independent encoding and maxentropic dc-free codes are presented
Keywords :
block codes; spectral analysis; Mth-order running digital sum values; Mth-order spectral-null codes; asymptotic low-frequency spectral components; block dc-free codes; closed-form expressions; high-order spectral-null codes; independent encoding; low-frequency spectrum-weight; maxentropic dc-free codes; performance metric; spectrum compression; zero-frequency spectral content; Block codes; Encoding; Frequency; Taylor series;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.936115
