The Theory of Signal Detectability: Cyclo-Stationary Processes in Additive Noise.
Abstract
Cyclo-stationary (CS) processes are those nonstationary processes that appear to be stationary when observed at integral multiples of a basic interval. Wide Sense Cyclo-stationary (WSCS) processes possess autocorrelation functions and autocorrelation matrices with a cyclic structure for continuous and discrete time respectively. Discrete time WSCS processes normally arise from sampling continuous time WSCS processes. Other sampling schemes such as multiplexing samples from different stationary random processes or multiplexing samples from the sensors of an array also generate random processes with a cyclic structure in the autocorrelation matrix. The optimum detector for the fixed time forced choice detection of discrete time WSCS processes in additive noise is designed according to the likelihood ratio. A suboptimum detector is also presented and is the low input signal-to-noise ratio form of the optimum detector. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0769230
Entities
People
- Joseph R. Lapointe Jr
Organizations
- University of Michigan