Bandwidth expansion is a technique for widening the bandwidth or the resonances in an LPC filter. This is done by moving all the poles towards the origin by a constant factor γ {displaystyle gamma } . The bandwidth-expanded filter A ′ ( z ) {displaystyle A'(z)} can be easily derived from the original filter A ( z ) {displaystyle A(z)} by: Bandwidth expansion is a technique for widening the bandwidth or the resonances in an LPC filter. This is done by moving all the poles towards the origin by a constant factor γ {displaystyle gamma } . The bandwidth-expanded filter A ′ ( z ) {displaystyle A'(z)} can be easily derived from the original filter A ( z ) {displaystyle A(z)} by: Let A ( z ) {displaystyle A(z)} be expressed as: