### Abstract

Quadratic distributions such as time-frequency distributions and ambiguity functions have many useful applications. In some cases it is desirable to have a quadratic distribution of more than two variables. Using the technique of applying operators to variables, general quadratic distributions of more than two variables can be developed. We use this technique to develop a four-parameter quadratic distribution that includes variables of time, frequency, lag, and doppler. A general distribution is first developed and some of the mathematical properties are discussed. The distribution is then applied to the improvement of an adaptive time-frequency distribution. An example signal is shown to evaluate the performance of the technique.

Original language | English (US) |
---|---|

Pages (from-to) | 3533-3536 |

Number of pages | 4 |

Journal | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |

Volume | 6 |

State | Published - Sep 26 2001 |

Event | 2001 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing - Salt Lake, UT, United States Duration: May 7 2001 → May 11 2001 |

### ASJC Scopus subject areas

- Software
- Signal Processing
- Electrical and Electronic Engineering

### Cite this

*ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings*,

*6*, 3533-3536.

**A four-parameter quadratic distribution.** / Roberts, D. S.; Jones, Douglas L.

Research output: Contribution to journal › Conference article

*ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings*, vol. 6, pp. 3533-3536.

}

TY - JOUR

T1 - A four-parameter quadratic distribution

AU - Roberts, D. S.

AU - Jones, Douglas L

PY - 2001/9/26

Y1 - 2001/9/26

N2 - Quadratic distributions such as time-frequency distributions and ambiguity functions have many useful applications. In some cases it is desirable to have a quadratic distribution of more than two variables. Using the technique of applying operators to variables, general quadratic distributions of more than two variables can be developed. We use this technique to develop a four-parameter quadratic distribution that includes variables of time, frequency, lag, and doppler. A general distribution is first developed and some of the mathematical properties are discussed. The distribution is then applied to the improvement of an adaptive time-frequency distribution. An example signal is shown to evaluate the performance of the technique.

AB - Quadratic distributions such as time-frequency distributions and ambiguity functions have many useful applications. In some cases it is desirable to have a quadratic distribution of more than two variables. Using the technique of applying operators to variables, general quadratic distributions of more than two variables can be developed. We use this technique to develop a four-parameter quadratic distribution that includes variables of time, frequency, lag, and doppler. A general distribution is first developed and some of the mathematical properties are discussed. The distribution is then applied to the improvement of an adaptive time-frequency distribution. An example signal is shown to evaluate the performance of the technique.

UR - http://www.scopus.com/inward/record.url?scp=0034841988&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034841988&partnerID=8YFLogxK

M3 - Conference article

VL - 6

SP - 3533

EP - 3536

JO - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

JF - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

SN - 0736-7791

ER -