In the modern digital world, everything needs to be faster, smaller and efficient. Transistor size is shrinking day by day as per the statement of Moore’s Law. Also, the demand for effective device in every field is ever increasing. In this research work, an 8-tap FIR filter is being considered for the speech processing applications. In order to meet the circuit optimization, the quantum cellular automata have been chosen for the functional verification. The basic modules of FIR filter are Adders, Delay element and a multiplier. These basic elements are constructed using the majority voter. The interconnections between various logic elements are of the circuit are carried out using novel multi-layer interconnection. Also, fast adders such as carry look ahead adder, carry save adder, and carry select adder has been realized in quantum cellular automata. Among them ripple carry adder needs lesser cell count and area, hence the FIR filter has been constructed using it in quantum cellular automata. The circuit performance has been evaluated mainly based on number of cells used for construction and area. Also additionally, area-latency product (ALP), QCA cost and power-performance area (PPA) has been estimated for validating the effectiveness of the design. Because of the majority voter and multi-layer configuration, the basic elements had occupied lesser area; due to which the overall area for the 8-tap filter has been reduced effectively The basic elements had cell count of improvement of 16.27% to 89.37% for full adder, 52.54% - 94.11% for DFF and 15.71% - 94.79% for multiplier with respect to the existing methods. Also, 8-tap FIR filter consumes 2156 cells, 3447.6 nm^2 area, 36.0876 energy dissipation, 13790.4 ALP, and 124415.6 PPA in quantum cellular automata.