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Extra info for 3-Colorability of plane hypergraphs
29 Chapter 2. 9 Optimal filtering in speckle Speckle The human tissue can be considered as composed by an ensemble of scatterers, which are spaced much closer than the effective waveform resolution at the matched filter output and thus cannot be resolved. The resulting speckle pattern in an ultrasound image is only a constructive and destructive interference (depending on the phases) of the scattering strengths. e. the same signal will result for repeated measurements. That implies that averaging cannot reduce the speckle signal as does with noise.
15Simulated images of a phantom consisting of 3 groups of 3 point scatterers each, 3 mm apart. The two first images are the single-emission images from pulse train excitation. Both transmitted pulse trains are QLFM-FSK signals with a duty cycle of 94%. In the second image the transmitted pulse train has additional PSK modulation. Because of this difference, the ambiguous spikes are opposite in phase and can be eliminated by summing the rf-data from the two images (shown in the third image). The dynamic range of all 3 images is 45 dB.
In spread spectrum application, this coding is called phase shift coding or keying (PSK). Frequency shift keying (FSK) yields FM discrete waveforms where the frequency changes in discrete steps. Shifting of the phase in the frequency domain rather than in the time domain is also possible, but results in waveforms with non-constant amplitude and practically is not used. Binary or phase-reversal codes are referred to as the phase-modulated codes where the phase takes only two values: 0◦ and 180◦ .