A synthesis of low-sensitivity digital filters using T-cascade of wave lattice sections

Synthesis of 2-Channel IIR Paraunitary Filter Banks by Successive Extraction of 2-Port Lattice Sections

“…As sections to be extracted and extracting method, we use the technique introduced in [3]. That literature uses a wave digital lattice filter (WDLF) shown in Fig.…”

“…Then, we reconfirm the extraction method in [3]. In [3], when we determine a multiplier coefficient in a zerothorder section, a value of characteristic function at pole before extraction was arbitrary. But, we confirm the formula to determine the multiplier coefficient in zeroth-order section is different depending on the value of characteristic function at pole.…”

“…When we have such a transfer function, we show that we can synthesize IIR paraunitary cascade connected structure by extracting 2-port lattice sections. We use a WDLF (wave digital lattice filter) as a fundamental section like [3]. Although [3] deals with scalar transfer functions, this paper extends [3] to filter banks.…”

“…We use a WDLF (wave digital lattice filter) as a fundamental section like [3]. Although [3] deals with scalar transfer functions, this paper extends [3] to filter banks. Then, we reconfirm the extraction method in [3].…”

“…Although [3] deals with scalar transfer functions, this paper extends [3] to filter banks. Then, we reconfirm the extraction method in [3]. In [3], when we determine a multiplier coefficient in a zerothorder section, a value of characteristic function at pole before extraction was arbitrary.…”