M. J. Vetterli. Multirate Filter Banks. IEEE Trans. on ASSP, 35:356--372, 1987. Home/Search Document Not in Database Summary Related Articles Check |
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On Upsampling, Downsampling And Rational Sampling Rate Filter.. - Gopinath, Burrus (1992) (Correct)
....funded by DARPA 1 Introduction In multirate Digital Signal Processing and Wavelet Theory the topic of perfect reconstruction filter banks has received widespread attention. The theory of uniform band (or integer sampling rate) filter banks in the one dimensional case is fairly well understood [20, 17]. However, not much in the form of a well developed theory is known in the multidimensional case of uniform band (or integer matrix sampling rate) filter banks [21, 13] Moreover, in the multidimensional case, there has not been any coherent attempt to develop a complete set of tools for the ....
.... set of representatives so is GammaS (M ) The polyphase representation of x(n) with respect to GammaS (M) is called the dual polyphase representation of x(n) with respect to S(M) x k (n) x(Mn k) # M ] fx(n k)g for k 2 S(M) If S(M) R(M) it is called the first orthant (synthesis [20], or Type 1 [19] polyphase representaion. The dual first orthant polyphase representation is sometimes referred to as analysis or Type 2 polyphase representation. There are infinitely many choices of generalized polyphase representation (since there are infinitely many generalized representatives ....
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M. J. Vetterli. Multirate Filter Banks. IEEE Trans. on ASSP, 35:356--372, 1987.
Theory Of Regular M-Band Wavelet Bases - Steffen, Heller, Gopinath, Burrus (1993) (11 citations) (Correct)
....in which one iterates the filter on the lowpass output. Experiments have shown the Daubechies wavelet filters to be highly effective for image coding [51] Unitary filter banks are a special class of multirate filter banks, the theory of which is well understood in the signal processing community [41, 49]. Excellent surveys of this work also appear in [43, 46] While Daubechies construction of K regular scaling filters and associated 2 band wavelet bases did not draw from the theory of unitary filter banks, the M band wavelet bases constructed in [17] are based on deep results in filter bank ....
....problem is given in Fig. 1. The filter bank problem involves the design of the real coefficient realizable (i.e. FIR or causal stable IIR) filters h i (n) and g i (n) with the following goals: Perfect Reconstruction (i.e. y(n) x(n) and approximation of ideal frequency responses (see Fig. 2) [37, 41, 42, 45, 49, 46, 31, 44]. Closely x(n) hM Gamma1 (n) h 1 (n) h 0 (n) # M # M # M dM Gamma1 (n) d 0 (n) d 1 (n) M : M M g M Gamma1 (n) g 1 (n) g 0 (n) j i ....
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M. J. Vetterli. Multirate Filter Banks. IEEE Trans. on ASSP, 35:356--372, 1987.
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M. J. Vetterli. Multirate Filter Banks. IEEE Trans. on ASSP, 35:356--372, 1987.
Oversampling Invariance of Wavelet Frames - Gopinath, Burrus (Correct)
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M. J. Vetterli. Multirate Filter Banks. IEEE Trans. in ASSP, 35:356 372, 1987.
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