Abstract: A compressive imaging system includes an illumination system arranged to illuminate an object of interest with illumination light, and a detection system configured to detect at least a portion of the illumination light after being at least one of reflected from, scattered from, or transmitted through the object of interest or to detect fluorescent light from the object of interest and to provide an imaging signal. The compressive imaging system further includes an image processing system configured to communicate with the detection system to receive the imaging signal. The illumination light from the illumination system comprises a plurality of light pulses such that each light pulse has a preselected spectrum that is distinguishable from spectra of all other pulses. The image processing system is configured to form an image of the object of interest using information concerning the preselected spectra of the plurality of light pulses.

Abstract: A compressive imaging system includes an illumination system arranged to illuminate an object of interest with illumination light, and a detection system configured to detect at least a portion of the illumination light after being at least one of reflected from, scattered from, or transmitted through the object of interest or to detect fluorescent light from the object of interest and to provide an imaging signal. The compressive imaging system further includes an image processing system configured to communicate with the detection system to receive the imaging signal. The illumination light from the illumination system comprises a plurality of light pulses such that each light pulse has a preselected spectrum that is distinguishable from spectra of all other pulses. The image processing system is configured to form an image of the object of interest using information concerning the preselected spectra of the plurality of light pulses.

Abstract: A method and system of reconstructing data signals from one of incomplete measurements comprising a receiver for receiving data signals, an ADC system operatively connected to the receiver that digitizes the received data signal at a slower rate than the Nyquist rate to obtain sparse measurements; first and second dictionaries comprising a plurality of time shifted responses recovered from the data signal; the first dictionary comprising time shifted versions of the previously observed data signals which are sampled at or above the Nyquist minimum sample rate; the second dictionary comprising time shifted versions are sampled below the Nyquist minimum, and at least one processor for reconstruction of the waveform signals by transforming the sub-Nyquist digitized output using the first and second dictionaries to produce the data signal.

Abstract: This invention introduces a class of multi-band linear phase lapped biorthogonal transforms with fast, VLSI-friendly implementations via lifting steps called the LiftLT. The transform is based on a lattice structure which robustly enforces both linear phase and perfect reconstruction properties. The lattice coefficients are parameterized as a series of lifting steps, providing fast, efficient in-place computation of the transform coefficients as well as the ability to map integers to integers. Our main motivation of the new transform is its application in image and video coding. Comparing to the popular 8.times.8 DCT, the 8.times.16 LiftLT only requires 1 more multiplication, 22 more additions, and 6 more shifting operations. However, image coding examples show that the LiftLT is far superior to the DCT in both objective and subjective coding performance. Thanks to properly designed overlapping basis functions, the LiftLT can completely eliminate annoying blocking artifacts.

Abstract: This invention relates to the design and implementation of a large family of fast, efficient, hardware-friendly fixed-point multiplierless inverse discrete cosine transforms (IDCT) and the corresponding forward transform counterparts. All of the proposed structures comprises of butterflies and dyadic-rational lifting steps that can be implemented using only shift-and-add operations. The approach also allows the computational scalability with different accuracy-versus-complexity trade-offs. Furthermore, the lifting construction allows a simple construction of the corresponding multiplierless forward DCT, providing bit-exact reconstruction if properly pairing with our proposed IDCT. With appropriately-chosen parameters, all of the disclosed structures can easily pass IEEE-1180 test.