Lattice All-Pole Structure of Digital Filters and Its Zero Input Response

The lattice structures for linear prediction were formulated in speech processing by Makhoul [1]. The LPC coders are often used in the transmission of speech signals. Such systems include a filter in the receiver that produces an approximation of a speech waveform. The parameters of this filter are extracted from the speech signal in the vocoder for frames of N samples. The lattice all-pole structure -with two multipliers frequently occurs in such vocoders. The signal flow graphs (SFG) are very useful for a computation of the transfer function from the source nodes to the sink nodes