Shunt bootstrapping technique to improve bandwidth of transimpedance amplifiers - Electronics Letters

c c,-1 = f(a,,-z, ..., aora,,-1, L 2 , ..., bo, h 1 ) (4) The result is easy to show since f(u,-*, ..., a,, U,,,-,, b,n.2, ..., bo, b,,) is the first bit of l o ~ ( o ( a ) + o(p)) = logr(o(y)) = ( ~ ( c ) ) ~ , the first bit of which is cm-,. The argument is repeated for the other bits. This shows that the same f can be used to calculate each bit of the logarithmic representation of y = a + 0. f can easily be implemented with logic gates or be stored in a ROM. The concept is similar to the Massey-Omura multiplier for elements represented in the normal basis expansion. The structure of the adder is similar to that of the Massey-Omura multiplier [ l , 21. It is particularly well suited for a parallel-input-serial-output implementation. f has no known general analytical form. It satisfies (i)Au,,r-l, ..., a,, b,-], ..., bo) =Abm-,, ..., bo, a,-,, ..., a,) (ii)Aagn.,, ..., a,, a,,-,, ..., a,) = 1 (iii)f(u,,,-,, ..., a,, 1, ..., 1) =f(l , ..., 1, a,.,, ..., U,) = a,.