Compressed sensing or compressive sampling (CS) is a signal
processing technique for efficiently acquiring and reconstructing
sparse signals by solving underdetermined linear systems. In practice,
CS needs to be accompanied by a quantization process. That is, after
sampling the signals, we represent the measurements using discrete
data, e.g. 0s and 1s, and recover the signals from the quantized
measurements. In this talk, I will discuss how to extend the
noise-shaping quantization methods beyond the case of Gaussian
measurements to structured random measurements, including random
partial Fourier and random partial Circulant measurements. This is
joint work with Rayan Saab.