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The use of phase codes in ultrasound imaging: SNR gain and bandwidth requirements
Authors:Claudia Leavens  Ross Willams  Michael Sherar
Institution:a University of Toronto, Department of Medical Biophysics, Canada
b Ontario Cancer Institute, Princess Margaret Hospital, Room 5-612, 610 University Avenue, Toronto, ON, Canada M5G 2M9
c Cancer Care Ontario, Canada
d Sunnybrook Health Sciences Center, Canada
Abstract:Most of the literature on coded excitation describes the signal-to-noise ratio gain of a coded waveform in terms of the time-bandwidth product. We have shown that in the context of ultrasound imaging, the expression for the SNR gain provided by matched filtering a coded waveform, can be reduced to the total number of chips in the transmit signal. Hence, the SNR gain is independent of both the bandwidth and the duration of a single-chip. This concept is described in detail, clarifying this seeming contradiction. The impact of bandwidth and pulse duration on the SNR, SNR gain and axial resolution is described. Bandwidth requirements and the impact of regulatory peak-power limitations are also addressed.
Keywords:Coded excitation  Phase codes  Pulse compression  SNR gain  Golay complementary sequences
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