I know the structure of lattice and wiener filter. But I though FIR filter is always FIR (wiener, tap + delay) filter, But what is the advantage of lattice structure, which in the CMSIS DSP filter algorithms we have two FIR filter, one for wiener and another for lattice! As you can see here in two name:
Finite Impulse Response (FIR) Filters (arm_fir_lattice_f32)
Finite Impulse Response (FIR) Lattice Filters (arm_fir_f32)
Also I can't relate lattice filter with reallity, wiener is easlly realated since its coefficients are the impulse response of system. But what about lattice?