TY - GEN
T1 - Quantization of Bandlimited Functions Using Random Samples
AU - Joy, Rohan
AU - Krahmer, Felix
AU - Lupoli, Alessandro
AU - Ramakrishan, Radha
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - We investigate the compatibility of distributed noise-shaping quantization with random samples of bandlimited functions. Let f be a real-valued π-bandlimited function. Suppose R > 1 is a real number, and assume that x_i _i = 1m is a sequence of i.i.d random variables uniformly distributed on \left[ - \tilde R,\tilde R ], where \tilde R > R is appropriately chosen. We show that on using a distributed noise-shaping quantizer to quantize the values of f at x_i _i = 1m, a function f♯ can be reconstructed from these quantized values such that | f - f\sharp |_L2[ - R,R] decays with high probability as m and \tilde R increase.
AB - We investigate the compatibility of distributed noise-shaping quantization with random samples of bandlimited functions. Let f be a real-valued π-bandlimited function. Suppose R > 1 is a real number, and assume that x_i _i = 1m is a sequence of i.i.d random variables uniformly distributed on \left[ - \tilde R,\tilde R ], where \tilde R > R is appropriately chosen. We show that on using a distributed noise-shaping quantizer to quantize the values of f at x_i _i = 1m, a function f♯ can be reconstructed from these quantized values such that | f - f\sharp |_L2[ - R,R] decays with high probability as m and \tilde R increase.
UR - http://www.scopus.com/inward/record.url?scp=85178510973&partnerID=8YFLogxK
U2 - 10.1109/SampTA59647.2023.10301379
DO - 10.1109/SampTA59647.2023.10301379
M3 - Conference contribution
AN - SCOPUS:85178510973
T3 - 2023 International Conference on Sampling Theory and Applications, SampTA 2023
BT - 2023 International Conference on Sampling Theory and Applications, SampTA 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 International Conference on Sampling Theory and Applications, SampTA 2023
Y2 - 10 July 2023 through 14 July 2023
ER -