To avoid aliasing, the maximum allowed sampling periods of an image are dx =dy=0.2mm Calculate the cutoff frequencies of the 2D image. QA photodetector called a single-photon counting module (SPCM) can be used to detect ultraweak light. Thenumber of photons counted per unit area on the detector sensor follows the Poisson distribution. Explainquantitatively (using equations) why stronger light detection yields higher amplitude SNR than weaker light.Q. A 2D imaging system has the following MTF: MTF(u, v) = e-(u²+»*). There is a sin-wave object f(x, y) =1+ sin(2rx). We will image the object using the system:(i) Figure out the modulation frequency of the object and the image uo.(ii) Calculate the modulation depth of the object m, and the modulation depth of the image m,.Q. Two 1-D LSI sub-systems are connected in cascade with the following Gaussian PSFs, respectively:h,(x) = 2no,h,(x)The combined system has a PSF which is the convolution of the two PSFS as follows:1.h(x) = h (x) * h2(x) =e2n(of + o})(i) Calculate the resolution (FWHM) of system-1, system-2, and the combined system. Show fullprocesses.(i) Take o, = 1, and o, = 2. Re-calculate (a). Suppose x is in the unit of mm.Q. A company is developing a new biomarker for clinical diagnosis of Alzheimer's disease (AD). In oneexperimental trial, 100 subjects were tested, including 23 AD patients and 77 healthy volunteers. The researchteam found this information from the medical records. Table 1 shows the diagnostic results using differentthreshold values.

1. Given The sampling period of an image are dx = dy = 0.2 mm

Answered: To avoid aliasing, the maximum allowed…

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