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Vaidyanathan, P.P. and V. C. Liu, "Classical sampling theorems in the context of multirate and polyphase digital filter bank structures," IEEE Trans. Signal Proces. , Vol. 36, No. 9, Sep. 1988

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Non-Uniform Signaling over Band-Limited Channels: A Multirate.. - Jahromi   (Correct)

.... possible over voice band channels [7] The proposed signaling is a nonuniform one which makes it possible to receive independent data symbols using available 8 kHz PCM samplers while the average baud rate is kept limited to 7 kbaud (W=3500 Hz) In this report, inspired by the results given in [4], a general frame work for non uniform signaling over band limited channels is proposed. The analysis tool here is multirate signal processing theory using which it will be shown that when the channel is sampled with a rate higher than the Nyquist rate, M out of L output samples are allowed to ....

....pulses associated with the equivalent PAM Multipulse modulator. 4 Section VI describes some generalizations and extensions to the case of multiband bandpsss channels. Finally, conclusions are made in section VI. NOTE: The notation used in this report are somewhat different from those adapted in [4] and [8] II. Uniform and Nonuniform Sampling in Discrete Time Consider a continues time signal x(t) whose Fourier transform is bandlimited to W Hz. We can exactly reconstruct x(t) from its samples x(nT) using the familiar interpolation formula x t x nT t nT n n ( sinc( ....

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Vaidyanathan, P.P. and V. C. Liu, "Classical sampling theorems in the context of multirate and polyphase digital filter bank structures," IEEE Trans. Signal Proces. , Vol. 36, No. 9, Sep. 1988


Exact Interpolation and Iterative Subdivision Schemes - Cormac Herley (1995)   (2 citations)  (Correct)

....filter banks can be viewed as interpolating a sequence from its M filtered and subsampled versions. It deserves emphasis from the outset that we wish to interpolate the signal from only one of the subsampled components, and that our goal is not the design of filter banks. For example in [12, 13, 5] filter banks are used to derive sampling results, but using more than one channel. The connection between interpolation schemes and filter banks appears to have been first mentioned in [14, 15] for the two channel case, where it was shown that the minimum length symmetric interpolator which is ....

P. P. Vaidyanathan and V. C. Liu, "Classical sampling theorems in the context of multirate and polyphase digital filter bank structures," IEEE Trans. Acoust., Speech, Signal Proc., vol. 36, pp. 1480--1495, Sept. 1988.

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