Multirate systems and filter banks
Multirate systems and filter banks
Multirate Digital Signal Processing
Multirate Digital Signal Processing
Representations of linear periodically time-varying and multirate systems
IEEE Transactions on Signal Processing
Bifrequency and bispectrum maps: a new look at multirate systemswith stochastic inputs
IEEE Transactions on Signal Processing
Fractional biorthogonal partners in channel equalization and signal interpolation
IEEE Transactions on Signal Processing
Multirate processing of time series exhibiting higher ordercyclostationarity
IEEE Transactions on Signal Processing
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We consider a multirate system, which is a generalization of linear time-invariant systems. Such a system is invariant to a certain shift in the input sequence. In particular, assume that p and q are coprime. A multirate system with the property that a delay of mq samples in its input sequence results in a delay of mp samples in its output sequence is called an (mp, mq)-periodic system. This multirate system can be obtained by cascading an upsampler, followed by a linear periodically time-varying (LPTV) kernel system, then followed by a downsampler. Here, we study the alias-component matrices of multirate systems. We show that they can be obtained from the alias-component matrices of their LPTV kernels by some row and column additions. An example shows the use of the method to design rate changers for a specified frequency band swap.