Question

6.30 A bandlimited differentiator system with frequency response H(ω)-ja) rect(ω/m)) is used to convert CAT-scan (computed axial tomography x-ray images) signals into medical images (a) Obtain the corresponding impulse response h(t). (b) Using linear approximations for small arguments of sine and cosine, show that h(0) 0. Can you deduce this result directly frrn the functional form of H(a)?

NOTE: you may need to use integration by parts to solves part a.

This was all the information I was given to do the problem

Answer 1

@ pio rect(噐0 H(O): Transfom Dbteasntation propety d sin eat dlt trt 夕ㄇㄧ豐.cos 수t sinuot hlt) sin wot t-0 using L-hogital Aude Cos tzo

h (0): 흙 (0-0) hlo)-o HCju Method 3 21 20 う
kindly see the above images for the solution.