AD-A 235 543 Coding Capacity and Error Exponent of the Poisson Channel with Time-Varying Parameters

The coding capacity of the Poisson channel with nonrandom periodic noise intensity is obtained for an average constraint and a periodic peak constraint on the encoder intensity. The case of almost periodic channel parameters is also treated. For these Poisson channels, the coding capacity equals the information capacity. Also, the coding capacity is the same with and without causal feedback. A random coding lower bound on the optimum error exponent is given for these classes of Poisson channels. These results are derived using work of Wyner for the Poisson channel with nontime-varying channel parameters. Supported by ARO Contract DAAL03-86-G-0022 and ONR Contract N00014-86-K-0039. Pprov. ,-j 110 95 13 061 UNCLASSIFIED SECURITY CLASSIFICATION OF THIS PAGE REPORT DOCUMENTATION PAGE is. REPORT SECURITY CLASSIFICATION lb. RESTRICTIVE MARKINGS UNCLASSIFIED 2&. SECURITY CLASSIFICATION AUTHORITY 3. DISTRIBUTiONAVAILABILITY OF REPORT 21. DECLASSIFICATION/DOWNGRADiNG SCHEDULE Approved for Public Release: Distribution Unlimited A. PERFORMING ORGANIZATION REPORT NUMBER(S) 5. MONITORING ORGANIZATION REPORT NUMBER(S) 6. NAME OF PERFORMING ORGANIZATION 1. OFFICE SYMBOL 70. NAME OF MONITORING ORGANIZATION (itlapplicable) Department of Statistics 6c. ADDRESS (City. State and ZIP Code) 7b. ADDRESS (City. State and ZIP Code) University of North Carolina Chapel Hill, North Carolina 27514 Aa. NAME OF FUNDING/SPONSORING 8b. OFFICE SYMBOL. 9. PROCUREMENT INSTRUMENT InEN'IPICATION NUMPcr, ORGANIZATION 1fapplinble. Office of Naval Research N00014-86-K-0039 Sr. ADDRESS (City. State and ZIP Codet 10. SOURCE OF FUNDING NOS. Statistics & Pr6bability Program PROGRAM PROJECT TASK WORK UNIT Arlington, VA 22217 ELEMENT NO. NO. NO. NO. 11. TITLE U(nclude Security Clawificationi Coding Capacity and Error Exponent of* 12. PERSONAL AUTHORS) M.R. Frey 13. TYPE OF REPORT 13b. TIME COVERED T 14. DATE OF REPORT (Yr. Mo. Day) 115. PAGE COUNT TECHNICAL I;ROM TO ____ August 1989 28 16. SUPPLEMENTARY NOTATION 17. COSATI CODES I. SUBJECT TERMS (Continue On muerae ifnecessary and identify by block number) FIELD GROUP SUB. GR. Poisson channel, coding capacity, information capacity. 19. ABSTRACT (Continue on reve se if necessary and identify by block number) The coding capacity of the Poisson channel with nonrandom periodic noise intensity is obtained for an average constraint'and a periodic peak constraint on the encoder intensity. The case of almost per-iodic channel parameters is also treated. For these Poisson channels, the codinS capacity equals the information capacity. Also, the coding capacity is the same with and without causal feedback. A random coding lower bound on the optimum error exponent is given for these classes of Poisson channels. These results are derived using work of Wyner for the Poisson channel with nontime-varying channel parameters 10. DISTRIBUTION/AVAILABILITY OF ABSTRACT 21. ABSTRACT SECURITY CLASSIF IC.ATION NCL ASSIIED/UNLIMITEDA SAME AS RPT.X)9 OTIC USERS C1 2&. NAME OF RESPONSISLE INOIVIDUAL 22b "'tLEPHONE NUMBER 22c. OFFICE SYMBOL I (Include Area Code) . D)der (919) 962-2189 D D FORM 1473, 83 APR EDITION OF 1 JAN 73 IS OBSOLETE. UNCLASSIFIED SECURITY CLASSIFICATION OF THIS PAGE