Multirate systems and filter banks
Multirate systems and filter banks
Signal Processing with Lapped Transforms
Signal Processing with Lapped Transforms
Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications
Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications
Time-varying cosine-modulated filter banks
Digital Signal Processing
The Most General Time-Varying Filter Bank and Time-Varying Lapped Transforms
IEEE Transactions on Signal Processing
Multirate filter banks with block sampling
IEEE Transactions on Signal Processing
Time-varying analysis-synthesis systems based on filter banks andpost filtering
IEEE Transactions on Signal Processing
Time-varying filter banks and wavelets
IEEE Transactions on Signal Processing
Time-varying lapped transforms and wavelet packets
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Time-varying filters and filter banks: some basic principles
IEEE Transactions on Signal Processing
Identification of LPTV systems in the frequency domain
Digital Signal Processing
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In this paper we present a new theory to analyze M-channel time-varying filter banks in the transform-domain. Through studying the behavior of time-varying building blocks at a fixed time point we have established two models to analyze the time-varying building block. Model 1 gives us the possibility to analyze the spectra changing in the time-varying building blocks. Model 2 shows that the time-varying building block at a fixed time point can be realized by a time-invariant filter bank. Such observation gives us chance to analyze the time-varying filter bank using the theory for time-invariant filter banks. Setting the time-varying building blocks into M-channel time-varying filter banks we find that an M-channel time-varying filter bank at a fixed time point can be implemented with an N-channel time-invariant vector filter bank or a L-channel single filter bank if the filter length is equal to L=NM. Based on the established models, in this paper we analyze the M-channel time-varying filter bank using the classical z-transform in detail. The perfect reconstruction conditions for an M-channel time-varying filter bank are given based on the polyphase-domain analysis. In the modulation-domain analysis we provide the condition for a distortion-free M-channel time-varying filter bank. The relationship between the time- and transform-domain analysis is presented. Finally, a design example is given to show how to use the established theory by designing time-varying filter banks.