Finite impulse response utilizing the principle of superposition

A critical parameter in any finite impulse response (FIR) design is the impulse response length, which must be optimized for the given design specifications in order to reduce the filter size. To this end, many design algorithms have been introduced such as Remez exchange, linear programming, and least mean squares. A new algorithm has been derived which is simple, efficient, and accurate for the design of arbitrary filter specifications which requires greatly reduced computation time compared to many other FIR approaches for high order, low shape factor filters. An overview of the design process is given and the design technique used to design filters with tailored passband and stopband responses to yield near-optimum time length is presented. The results of the current FIR approach are discussed and compared with other design techniques. The effect of monotonically increasing sidelobes in reducing the impulse response length versus an equiripple sidelobe design is discussed and the reason illustrated. A surface acoustic wave (SAW) filter design where one transducer is designed to compensate for a second transducer and modeled second order effects is presented.