VLSI Implementations for Digital Signal Processing.

Transient management of reconfigurable digital filters in case of sinusoidal excitation

“…as the function of the input sinusoid frequency. The normalized lattice and resonator-based structures, which are both orthogonal [5], produce the smallest worst-case transients (the smallest transients in the whole frequency range) and in all other experiments very similar results are observed.…”

“…Experiments show that for orthogonal filter structures [5,6,7] C 1 << C 0 by orders of magnitudes most cases for the investigated transfer functions. There is no theoretical background elaborated to explain this behavior; however, for the all-pass output of these structures, which all orthogonal structures have as a common feature, C 1 =0.…”

“…Various IIR filter structures [5,6,7] have been developed, such as some of the Lattice structures and the orthogonal resonator-based structure, that utilize this invariance of the realized transfer function and to achieve certain advantages, e.g., better performance under finite word-length realizations.…”

Transition effect detection for extracting highlights in baseball videos

“…For each pair of processing units, (PU i ,PU j ), after recording the intracoding rates in P frames as vectors, s i and s j , we zero-pad the vectors so that their lengths are the same and equal to a power of 2. Their (circular) cross-correlation [64] can be calculated efficiently via fast Fourier transform (FFT) by…”

Numerical differentiation with annihilators in noisy environment

“…See also [19,22,34] for other approaches from the control litterature. In signal processing, it is very common to cast the problem in terms of frequency domain digital filter design [31], [29], [5]. This is motivated by the observation that an ideal n th order differentiator has a frequency response of magnitude ω n .…”