A theorem for wide bandwidth echo-location systems
Echo-location systems are unavoidably subject to range-velocity ambiguities. Although the total amount (volume) of ambiguity increases with increasing signal bandwidth, it is shown here that ambiguity density decreases with increasing bandwidth. This result, which is stated in the paper as a theorem...
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| Published in | Journal of sound and vibration Vol. 16; no. 2; pp. 223 - 230 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.01.1971
|
| Online Access | Get full text |
| ISSN | 0022-460X 1095-8568 |
| DOI | 10.1016/0022-460X(71)90484-6 |
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| Abstract | Echo-location systems are unavoidably subject to range-velocity ambiguities. Although the total amount (volume) of ambiguity increases with increasing signal bandwidth, it is shown here that ambiguity density decreases with increasing bandwidth. This result, which is stated in the paper as a theorem, means that for systems observing targets with restricted relative velocities, the effective volume of ambiguity decreases as the bandwidth is increased. It is suggested that this may help one to understand the performance of mammals with advanced echo-location senses, since increasing the bandwidth not only reduces effective ambiguity volume but also improves range resolution and reverberation suppression. For a given bandwidth the effective ambiguity volume is minimized if the energy spectrum of the echo-location signal is uniform throughout the band. |
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| AbstractList | Echo-location systems are unavoidably subject to range-velocity ambiguities. Although the total amount (volume) of ambiguity increases with increasing signal bandwidth, it is shown here that ambiguity density decreases with increasing bandwidth. This result, which is stated in the paper as a theorem, means that for systems observing targets with restricted relative velocities, the effective volume of ambiguity decreases as the bandwidth is increased. It is suggested that this may help one to understand the performance of mammals with advanced echo-location senses, since increasing the bandwidth not only reduces effective ambiguity volume but also improves range resolution and reverberation suppression. For a given bandwidth the effective ambiguity volume is minimized if the energy spectrum of the echo-location signal is uniform throughout the band. |
| Author | Bates, R.H.T. |
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| References | Griffin (BIB1) 1958; 199 Mitchell, Rihaczek (BIB17) 1968; AES-4 Milne, Milne (BIB3) 1962 Kramer (BIB16) 1967; 55 Glisson, Black, Sage (BIB13) 1970; AES-6 Cahlander (BIB8) 1964 Woodward (BIB15) 1953 Romanenko (BIB2) 1965; 10 Grinnell (BIB6) 1966 Cook, Bernfeld (BIB7) 1967 Purdy, Cooper (BIB10) 1968; IT-14 Poulter (BIB4) 1966; 6 Rihaczek (BIB9) 1967; AES-3 Harris, Kramer (BIB11) 1968; 56 Gassner, Cooper (BIB12) 1967; IT-13 Kelly, Wishner (BIB14) 1965; MIL-9 Griffin, McCue, Grinnell (BIB5) 1963; 152 Gassner (10.1016/0022-460X(71)90484-6_BIB12) 1967; IT-13 Cahlander (10.1016/0022-460X(71)90484-6_BIB8) 1964 Harris (10.1016/0022-460X(71)90484-6_BIB11) 1968; 56 Griffin (10.1016/0022-460X(71)90484-6_BIB5) 1963; 152 Poulter (10.1016/0022-460X(71)90484-6_BIB4) 1966; 6 Romanenko (10.1016/0022-460X(71)90484-6_BIB2) 1965; 10 Cook (10.1016/0022-460X(71)90484-6_BIB7) 1967 Kramer (10.1016/0022-460X(71)90484-6_BIB16) 1967; 55 Mitchell (10.1016/0022-460X(71)90484-6_BIB17) 1968; AES-4 Grinnell (10.1016/0022-460X(71)90484-6_BIB6) 1966 Purdy (10.1016/0022-460X(71)90484-6_BIB10) 1968; IT-14 Rihaczek (10.1016/0022-460X(71)90484-6_BIB9) 1967; AES-3 Kelly (10.1016/0022-460X(71)90484-6_BIB14) 1965; MIL-9 Griffin (10.1016/0022-460X(71)90484-6_BIB1) 1958; 199 Milne (10.1016/0022-460X(71)90484-6_BIB3) 1962 Woodward (10.1016/0022-460X(71)90484-6_BIB15) 1953 Glisson (10.1016/0022-460X(71)90484-6_BIB13) 1970; AES-6 |
| References_xml | – year: 1964 ident: BIB8 article-title: Echolocation with wide-band waveforms: bat sonar signals publication-title: Lincoln Lab., Mass. Inst. Technol. tech. Rep. 271 – volume: IT-13 start-page: 126 year: 1967 ident: BIB12 article-title: Note on a generalized ambiguity function publication-title: IEEE Trans. – volume: 56 start-page: 2149 year: 1968 ident: BIB11 article-title: Asymptotic evaluation of the ambiguity functions of high-gain FM matched filter sonar systems publication-title: Proc. IEEE – volume: 10 start-page: 331 year: 1965 ident: BIB2 article-title: The underwater echo-location (sonar) capability of dolphins (review) publication-title: Soviet Phys. 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IEEE – year: 1962 ident: 10.1016/0022-460X(71)90484-6_BIB3 – volume: 56 start-page: 2149 year: 1968 ident: 10.1016/0022-460X(71)90484-6_BIB11 article-title: Asymptotic evaluation of the ambiguity functions of high-gain FM matched filter sonar systems – year: 1953 ident: 10.1016/0022-460X(71)90484-6_BIB15 – volume: IT-14 start-page: 153 year: 1968 ident: 10.1016/0022-460X(71)90484-6_BIB10 article-title: A note on the volume of generalized ambiguity functions publication-title: IEEE Trans. – year: 1967 ident: 10.1016/0022-460X(71)90484-6_BIB7 – year: 1964 ident: 10.1016/0022-460X(71)90484-6_BIB8 article-title: Echolocation with wide-band waveforms: bat sonar signals publication-title: Lincoln Lab., Mass. Inst. Technol. tech. Rep. 271 – volume: 55 start-page: 627 year: 1967 ident: 10.1016/0022-460X(71)90484-6_BIB16 article-title: Doppler and acceleration tolerances of high-gain, wideband linear FM correlation sonars – year: 1966 ident: 10.1016/0022-460X(71)90484-6_BIB6 article-title: Mechanisms of overcoming interference in echolocating animals – volume: AES-4 start-page: 417 year: 1968 ident: 10.1016/0022-460X(71)90484-6_BIB17 article-title: Matched-filter responses of the linear FM waveform publication-title: IEEE Trans. – volume: MIL-9 start-page: 56 year: 1965 ident: 10.1016/0022-460X(71)90484-6_BIB14 article-title: Matched-filter theory for highvelocity accelerating targets publication-title: IEEE Trans. – volume: 6 start-page: 165 year: 1966 ident: 10.1016/0022-460X(71)90484-6_BIB4 article-title: The use of active sonar by the California sea lion publication-title: J. 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| Title | A theorem for wide bandwidth echo-location systems |
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