The recently introduced compressed sensing (CS) framework enables low complexity video acquisition via sub-
Nyquist rate sampling. In practice, the resulting CS samples are quantized and indexed by finitely many bits
(bit-depth) for transmission. In applications where the bit-budget for video transmission is constrained, rate-
distortion optimization (RDO) is essential for quality video reconstruction. In this work, we develop a double-level
RDO scheme for compressive video sampling, where frame-level RDO is performed by adaptively allocating the
fixed bit-budget per frame to each video block based on block-sparsity, and block-level RDO is performed by
modelling the block reconstruction peak-signal-to-noise ratio (PSNR) as a quadratic function of quantization
bit-depth. The optimal bit-depth and the number of CS samples are then obtained by setting the first derivative
of the function to zero. In the experimental studies the model parameters are initialized with a small set of
training data, which are then updated with local information in the model testing stage. Simulation results
presented herein show that the proposed double-level RDO significantly enhances the reconstruction quality for
a bit-budget constrained CS video transmission system.
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