Perfect Reconstruction Of Quadrature Mirror Filter Bank Using Window Technique

QMF finds wide range of application such as design of wavelet bases, speech and image compression, trans-multiplexers, antenna systems, digital audio industry, and biomedical signal processing due to advancement in QMF banks. This paper presents the design of perfect reconstruction quadrature mirror filter using window technique. A common approach to construct such filter-banks is to employ a two channel quadrature-mirror filter (QMF) bank with FIR analysis and synthesis filters. However, filters of high degree are required to achieve a steep transition band and a high stop band attenuation, which results in a high computational complexity and a high system delay. The computational complexity in the design of perfect reconstruction (PR) type filter bank is much higher. If QMF bank is free from aliasing distortion, amplitude distortion and phase distortion, it is said to have perfect reconstruction. The design examples illustrate that the proposed algorithm is superior in term of peak reconstruction error, computation time, and number of iterations. The proposed algorithm is simple, easy to implement, and linear in nature.