Your problem is to determine the number of detectors D to fit into an array of fixed len...

Your problem is to determine the number of detectors D to fit into an array of fixed length L in order to optimize the SNR of a third-generation CT scanner.

(a)Assume the approximate ramp filter is

Assume that where d is the width of a detector and is a fixed constant. Assume that the number of projections M is given by 1.5D. Find an expression for the SNR as a function of D.

(b) To avoid aliasing a J × J pixel reconstructed image it is decided to choose We also restrict the number of detectors to lie in the range What D gives the best SNR?