R. Venkataramani and Y. Bresler. Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals. IEEE Transactions on Signal Processing, 49(10):2301--2313, Oct. 2001. Home/Search Document Details and Download
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Three-Dimensional Reconstruction of Fire from Images - Hasinoff (2002) (1 citation) (Correct)
....poor convergence behaviour present serious computational challenges. Another open question is what are the limits on the resolution of the reconstruction in terms of the number of input images and blobs. The standard Nyquist limit does not apply here because our sampling pattern is non uniform [19, 118]. Further complicating this analysis, we would like to integrate prior information about re such as spatial coherence. According to the physics of re, extinction, refraction and other properties are all wavelength dependent. This suggests that perhaps we should deal with the RGB channels ....
R. Venkataramani and Y. Bresler. Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals. IEEE Transactions on Signal Processing, 49(10):2301-2313, Oct. 2001.
Filter Design for MIMO Sampling and Reconstruction - Venkataramani, Bresler Self-citation (Venkataramani Bresler) (Correct)
....are sampled at ( th the Nyquist rate. This fits in our framework as a single input multiple output sampling problem, i.e. Additionally, if the channel filters are pure delays, we obtain multicoset or periodic nonuniform sampling of the input signal, which has been widely studied [17 29], as it allows to approach the Landau minimum sampling for multiband signals [30] Seidner and Feder [31] provide a natural generalization of Papoulis sampling expansions for a vector input with its components bandlimited to . Clearly, their sampling scheme is also a special case of ....
....error can be made arbitrarily small by using sufficiently long FIR filters. D. Design Examples In this section, we consider two FIR filter design examples. In the first example, we design reconstruction filters for the multicoset sampling scheme which is a special case of MIMO sampling [28, 29]. In the second example, we consider MIMO sampling using a channel having two inputs and five outputs. Example 1. In this example, we design FIR reconstruction filters for multicoset sampling. Let , as illustrated in Figure 4, be the spectral support for ....
R. Venkataramani and Y. Bresler, "Optimal sub-Nyquist nonuniform sampling and reconstruction of multiband signals," IEEE Trans. Sig. Process., vol. 49, no. 10, pp. 2301--2313, October 2001.
Sampling Theorems for Uniform and Periodic Nonuniform.. - Venkataramani, Bresler Self-citation (Venkataramani Bresler) (Correct)
....and a particular solution can be selected using additional criteria (for examples of 0 0.05 0.1 0.15 0.2 0.25 0 0.2 0.4 0.6 0.8 1 1.2 1.4 Frequency f Eigenvalues: min max S(f) Fig. 4. Smallest and largest eigenvalues of . such designs in the single channel case, see [31]) For example, the minimum norm solution will lead to minimum amplification of additive white noise on the sampled signals (due to e.g. quantization error) In any event, the final filter matrix is obtained from via (14) V. CONCLUSION In this paper, we studied the uniform MIMO sampling ....
R. Venkataramani and Y. Bresler, "Optimal sub-Nyquist nonuniform sampling and reconstruction of multiband signals," IEEE Trans. Sig. Process., vol. 49, no. 10, pp. 2301--2313, October 2001.
Three-Dimensional Reconstruction of Fire from Images - Hasinoff (2002) (1 citation) (Correct)
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R. Venkataramani and Y. Bresler. Optimal sub-Nyquist nonuniform sampling and reconstruction for multiband signals. IEEE Transactions on Signal Processing, 49(10):2301--2313, Oct. 2001.
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