A time-domain approach is proposed to design signal-adapted FIR (Finite impulse response) filter banks without the perfect reconstruction property. For a given Wide sense stationary (WSS) input process and a total bit budget, it is a highly nonlinear and large size optimization problem to design the optimal FIR filter bank that minimizes the sum of the quantization distortion and systematic distortion. Thus, the design algorithm is crucial, in particular, selection of the initial filter bank. Here, the FIR approximation of the optimal IIR biorthogonal filter bank is used as the initial filter bank and an ad hoc three-stage algorithm is developed to solve the optimization problem. The numerical results show: the design achieves large subband coding gains (GSBC) that are close to or exceed the GSBC's of the optimal IIR biorthogonal filter banks.
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