Encoding bandpass signals using level crossings: A model-based approach
Document Type
Conference Proceeding
Date of Original Version
12-1-2007
Abstract
A new approach to representing a time-limited, and essentially bandlimited signal x(t), by a set of discrete frequency/time values is proposed. The set of discrete frequencies is the set of frequency locations at which (real and imaginary parts of) the Fourier transform of x(t) cross certain levels and the set of discrete time values corresponds to the traditional level crossings of x(t). The proposed representation is based on a simple bandpass signal model called a Sum-of-Sincs (SOS) model, that exploits our knowledge of the bandwidth/timewidth of x(t). Given the discrete fequency/time locations, we can reconstruct the x(t) by solving a least-squares problem. Using this approach, we propose an analysis/synthesis algorithm to decompose and represent composite signals like speech.
Publication Title, e.g., Journal
Audio Engineering Society - 123rd Audio Engineering Society Convention 2007
Volume
2
Citation/Publisher Attribution
Kumaresan, Ramdas, and Nitesh Panchal. "Encoding bandpass signals using level crossings: A model-based approach." Audio Engineering Society - 123rd Audio Engineering Society Convention 2007 2, (2007): 1096-1117. https://digitalcommons.uri.edu/ele_facpubs/656