Approximate Linear Phase Hilbert Transformer

Ljiljana D. Mili c and Miroslav D. Lutovac Abstract|The IIR realizations of the Hilbert transformer require less computations than FIR realizations, but the main disadvantage of the minimum phase IIR realization is the nonlinearity of the phase characteristic. In this paper, we show that using allpass IIR sub lters from the minimal phase solution it is possible to design an IIR Hilbert transformer which exhibits simultaneously approximate constant amplitude response and approximate linear phase. Keywords| IIR lter, two{pass ltering, Hilbert transformer, halfband lter, linear phase