... arithmetic operations and hardware components delay, adder and multiplier This makes the implementation of FIR lters, especially in applications demanding narrow transition bands, very costly When ... the L-fold expander is L times faster than that at the input Fig 2.4(a) and Fig 2.4(b) demonstrate an input sequence, x(n), and expanded sequence, y(m), of an expander for L = The expander does ... concurrent with the use of MILP for the design of limited wordlength FIR lter was the use of MILP for the design of FIR lter with SPT coecients [49,52] Filters with SPT coecients have the advantage...