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Topic: Help! Discrete Sine Transform & Hadamard Transform
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Vincent

Posts: 2
Registered: 12/12/04
Help! Discrete Sine Transform & Hadamard Transform
Posted: Jun 20, 1996 3:26 AM
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Help! I have 2 questions about DST and WHT: (SUM means sigma)
1. If the coefficient formula of 2-D Discrete Sine Transform (DST) is

2 N-1 N-1 (j+1)*(u+1)*PI (k+1)*(v+1)*PI
F(u,v)= ----- SUM SUM f(j,k)sin{--------------}sin{--------------}
N+1 j=0 k=0 N+1 N+1

then what is formula of the inverse DST ? ( f(j,k)=? )

2. If the coefficient formula of 2-D Hadamard Transform ( WHT ) is

1 N-1 N-1 p(j,k,u,v)
F(u,v)= --- SUM SUM f(j,k)(-1)
N j=0 k=0

n-1 n
where p(j,k,u,v)= SUM ( u(i)*j(i) + v(i)*k(i) ), N=2
i=0

The terms u(i),v(i),j(i), and k(i) are the bit states of
the binary representations of u,v,j, and k, respectively.
e.g. u=12 , in binary form ==>1 1 0 0
u(3)=1, u(2)=1, u(1)=0, u(0)=0

What is the formula of inverse WHT? ( f(j,k)=? )

Thank you for answering my questions.


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