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Aliasing is also present in case of velocity aliasing, as the estimated velocity value is also calculated in the frequency domain. In the case of color Doppler aliasing, a signal component of the underlying color Doppler image is also aliased to a different color. In case of pulsed wave Doppler aliasing, the aliasing effect is also present, but in a different way. Unlike Doppler, the aliased signal of pulsed wave Doppler can be (and often is) processed and displayed. Since Doppler results in the aliased frequency components, they can be filtered out to prevent aliasing. Unfortunately, this cannot be applied to color flow Doppler images, because the aliased frequency component is also present in a color Doppler image and it is thus desirable to display it without filtering.
For example, if a sample time of the ultrasound machine is 10 μs and a Doppler shift frequency of 2 kHz is desired, a sample frequency of 20 kHz will be needed to avoid aliasing of the Doppler shift signal. This frequency is way above the maximum pulse repetition frequency of 20 kHz. Fortunately, the Doppler shift signal can be approximated by a linear frequency shift, which makes it possible to calculate the aliased frequency values based on the true Doppler shift values, without the need of high sampling frequencies.
Although the Doppler shift frequency is calculated with reference to the RF waveform, there is an inherent uncertainty in the estimated Doppler shift, which can cause the aliasing behavior in the color flow Doppler image. This is because the estimated velocity values are calculated from the frequency domain, which is assumed to be a continuous time signal. In reality, the frequency domain is a discrete set of sampled data. As a result, there are some frequency values that are imprecisely calculated and may therefore be aliased.
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