In this paper, we propose a new approach for optimization based stable linear-phase infinite impulse response (IIR) perfect reconstruction quadrature mirror filter (PRQMF) bank design. To this end, the design problem is formulated using stop-band energy, stability, transition-band, pass-band and stop-band ripples requirements as constraints. Lagrange multiplier method is used for the solution of optimization-based design problem. The brief conclusion with design example that illustrates the proposed design method is presented. (c) 2004 Elsevier GmbH. All rights reserved.