Linear-phase quadrature mirror filters with coefficients −1,0 and +1
Signal Processing
Digital Signal Processing: A Computer-Based Approach
Digital Signal Processing: A Computer-Based Approach
IEEE Transactions on Signal Processing
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This paper describes a two channel linear phase quadrature mirror filter bank using Kekre's matrix. It has been derived mathematically that the rows of the Kekre's second order matrix satisfies the conditions for perfect reconstruction. The filters obtained from the Kekre's matrix satisfies the aliasing cancellation conditions and the distortion transfer function is a all pass filter with linear phase response. It is shown that when a sampled speech signal is passed through the filter the signal experiences a one sample delay without any change in amplitude.