Write a MATLAB script to generate a 512 × 512 test image consisting of a white c
ID: 3921267 • Letter: W
Question
Write a MATLAB script to generate a 512 × 512 test image consisting of a white circle against a black background, use this image as an input to the fft2 function, and display the resulting spectrum. You should be able to notice the presence of “ringing” artifacts in the resulting spectrum, owing to the sharp transitions between the circle and the background. Andimplement the solution to the ringing artifact, while keeping the input image similar to the original (white circle against a black background) as much as possible.
Explanation / Answer
mm:
la $a3, array_A # base address for array_A loaded into $a3
la $a1, array_B # base address for array_B loaded into $a1
la $a2, array_C # base address for array_C loaded into $a2
li $t1, four # $t1 = four (row-size and loop end)
li $s0, zero # i = 0; initialize first for loop
loop1:
li $s1, zero # j = 0; restart 2d for loop
loop2:
li $s2, zero # k = 0; restart third for loop
sll $t2, $s0, two # $t2 = i * four (size of row of c)
addu $t2, $t2, $s1 # $t2 = i * size(row) + j
sll $t2, $t2, two # $t2 = computer memory unit offset of [i][j]
addu $t2, $a2, $t2 # $t2 = computer memory unit offset of [i][j]
lw $t4, 0($t2) # $t4 = two bytes of c[i][j]
loop3:
sll $t0, $s2, two # $t0 = k * four (size of row of b)
addu $t0, $t0, $s1 # $t0 = k * size(row) + j
sll $t0, $t0, two # $t0 = computer memory unit offset off [k][j]
addu $t0, $a1, $t0 # $t0 = computer memory unit address of b[k][j]
lw $t5, 0($t0) # $t5 = two bytes of b[k][j]
sll $t0, $s0, two # $t0 = i * four (size of row of a)
addu $t0, $t0, $s2 # $t0 = i * size(row) + k
sll $t0, $t0, two # $t0 = computer memory unit offset of [i][k]
addu $t0, $a3, $t0 # $t0 = computer memory unit address of a[i][k]
lw $t6, 0($t0) # $t6 = two bytes of a[i][k]
mul $t5, $t6, $t5 # $t5 = a[i][k] * b[k][j]
add $t4, $t4, $t5 # $t4 = c[i][j] + a[i][k] * b[k][j]
addiu $s2, $s2, one # $k = k + one
bne $s2, $t1, loop3 #if (k != 4) attend loop3
sw $t4, 0($a2) # c[i][j] = $t4
#----------TEST-------------
li $v0, 1
lw $a0, ($a2)
syscall
li $v0, 4
la $a0, new_row
syscall
#----------TEST-------------
addiu $s1, $s1, one # $j = j + one
addi $a2, $a2, 4
bne $s1, $t1, loop2 # if (j != 4) attend loop2
addiu $s0, $s0, one # $i = i + one
bne $s0, $t1, loop1 # if (i != 32) attend L1
Exit:
li $v0, 10 #exits
syscall
.data
array_A: .word 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
array_B: .word 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2
array_C: .word 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
output_row_string_C: .asciiz "Matrix C Output Row "
colon_string: .asciiz ":
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