On nontrivial analytic signals with positive instantaneous frequency

Authors:
Milos I. Doroslovački
Affiliations:
Department of Electrical and Computer Engineering, The George Washington University, 801 22nd Street, N.W., Washington, DC
Venue:
Signal Processing
Year:
2003

Citing 4
Cited 0

Discrete-time signal processing (2nd ed.)

Discrete-time signal processing (2nd ed.)
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Abstract

This communication recalls that the design of analytic signals with positive instantaneous frequency is a dual problem to the design of causal linear time-invariant systems (e.g., filters) with monotonically decreasing phase response. Recent publications that specify the structure of analytic signals with instantaneous positive frequency for the aperiodic and periodic case, are referenced. The design of a finite-energy analytic signal with positive periodic instantaneous frequency is illustrated.