A signal f is a function of the location (x,y), given by: f = sin[2(u₀x+v₀y)]+2, where u₀ and v₀ are the spatial frequencies (/mm) of x and y directions, respectively. The response of an imaging system to the input signal f is given by: g(x,y) = 0.5sin[2(u₀x+v₀y)]+1. Seat the frequencies, u₀ and v₀, to the inverse number of 7 and 11 respectively. u₀=1/7 (/mm) and v₀=1/11 (/mm). Then, calculate f in the range of 0 x,y 150 mm (1mm step) using Matlab.

• Attach your Matlab code in your answer.
• to create [x,y] data, you may use meshgrid.

(a) Show the grayscale image of the signal f. Label the axis Distance, x [mm], Distance, y [mm], respectively, in the image. Indicate the values of u₀ and v₀ that you used.

(b) Calculate the modulation, m_f, of the signal f.