Readily implemented enhanced sinusoid detection in noise

Technical Report · Thu Mar 05 00:00:00 EST 1992

DOI:https://doi.org/10.2172/5321481· OSTI ID:5321481

Lindsay, K V

Significant efforts have been devoted, spanning many years, to the problem of sinusoid detection in noise. Many of these efforts have produced superb, yet complex, algorithms which may be difficult to use for a wide segment of the Digital Signal Processing (DSP) community. This paper presents a simple, easily implemented and high effective method which solves this problem. This method severely degrades non-sinusoidal noise while leaving the embedded sinusoid(s) relatively undisturbed. The algorithm, simply put, exploits the difference between the net effect of integration and differentiation of sinusoids versus the effect of these operations on random noise and other signal sequences. The cross-correlation of sine wave with its differentiated (and/or integrated) self is quite high. Conversely, the cross-reduction of a noise sequence with its differentiated (and/or integrated) self is much lower. Therefore, it is reasonable to assume that for sequences consisting of a sinusoid in noise, significant signal-to-noise-ratios (SNRs) in the correlation results are achievable using a combination of differentiation (and/or integration) and cross-correlation operations on such sequences. This technique has been applied to actual Doppler radar data, as well as to synthesized data, with excellent improvement in signal detection capability. 4 refs.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE; USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5321481
• Report Number(s): LA-UR-92-789; ON: DE92011359
• Country of Publication: United States
• Language: English

Related Subjects

47 OTHER INSTRUMENTATION
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
RADAR
BACKGROUND NOISE
SONAR
ALGORITHMS
COMMUNICATIONS
FOURIER TRANSFORMATION
SIGNAL CONDITIONING
SIGNALS
WAVE FORMS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL LOGIC
MEASURING INSTRUMENTS
NOISE
RANGE FINDERS
TRANSFORMATIONS
440800* - Miscellaneous Instrumentation- (1990-)
990200 - Mathematics & Computers