论文信息 - The shape of low minima of the envelope of narrowband Gaussian noise

The shape of low minima of the envelope of narrowband Gaussian noise

Low minima of the envelope of narrowband noise are shown to be hyperbolic in shape. They are accompanied by large, short impulses in the instantaneous frequency of the noise. The statistics of these phenomena are described, and they are related to Rice's formula for the rate of zero-crossings of Gaussian noise.

Nelson M. Blachman | N. Blachman

[1] NELSON M. BLACHMAN. Zero-crossing rate for the sum of two sinusoids or a signal plus noise (Corresp.) , 1975, IEEE Trans. Inf. Theory.

[2] N. Blachman. Gaussian noise: prediction based on its value and N derivatives , 1993 .

[3] J. H. Roberts,et al. F.M. click rates: a simple derivation , 1974 .

[4] Nelson M. Blachman. Gaussian noise-I: The shape of large excursions , 1988, IEEE Trans. Inf. Theory.

[5] J. Gurland,et al. Distribution of Quadratic Forms and Ratios of Quadratic Forms , 1953 .

[6] S. Rice. Mathematical analysis of random noise , 1944 .