  A novel family of Cosine series Quantum Sampling (QCoSamp) operators
appropriate for quantum computing is described. The development of quantum
algorithms, analogous to classical algorithms, we apply to the harmonic
analysis of signals. We show quantum sampling through measurements of a quantum
system, and after operators of the family are applied, allow for input signal
mapping with a Fourier series representation. Technical methodologies employed,
facilitating the implementation of each QCoSamp algorithm to a quantum computer
and application to the field of signal and image processing we also described.
  Keywords: quantum computing, quantum information theory, quantum operator,
quantum sampling, Fourier sine-cosine series, signal processing, image
processing
