TY - GEN
T1 - Diagonal Remainder Matrix Based Analog to Information Conversion
AU - Zhang, Jingchao
AU - Zhang, Xiangxin
AU - Wang, Yuting
AU - Qiao, Liyan
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/12/6
Y1 - 2020/12/6
N2 - Modulated Wideband Converter (MWC) is an attractive system implementing analog to information conversion (AIC) of multiband signals at sub-Nyquist rate, which is based on the emerging theory of Compressed Sensing (CS). Frequency mixing with periodic sequence is a pivotal step. However, random waveforms constructing the mixing sequences make the MWC has high complexity. To reduce the complexity, in this letter, we present a novel Diagonal Remainder Matrix based AIC (DRM-AIC). DRM-AIC has only one non-zero element in each sequence, which is similar to the sample-and-hold sampling and each sequence is produced by the delay of a base sequence. We obtain the non-uniform delay between sequences by a simple remainder function plus uniform sampling interval. This special structure makes the observation matrix of DRM-AIC consists of diagonal matrix and a submatrix of a Vandermonde matrix. The rationality and superiority of the observation matrix are verified by theoretical analysis. Simulation results show that DRM-AIC has better reconstruction performance than MWC.
AB - Modulated Wideband Converter (MWC) is an attractive system implementing analog to information conversion (AIC) of multiband signals at sub-Nyquist rate, which is based on the emerging theory of Compressed Sensing (CS). Frequency mixing with periodic sequence is a pivotal step. However, random waveforms constructing the mixing sequences make the MWC has high complexity. To reduce the complexity, in this letter, we present a novel Diagonal Remainder Matrix based AIC (DRM-AIC). DRM-AIC has only one non-zero element in each sequence, which is similar to the sample-and-hold sampling and each sequence is produced by the delay of a base sequence. We obtain the non-uniform delay between sequences by a simple remainder function plus uniform sampling interval. This special structure makes the observation matrix of DRM-AIC consists of diagonal matrix and a submatrix of a Vandermonde matrix. The rationality and superiority of the observation matrix are verified by theoretical analysis. Simulation results show that DRM-AIC has better reconstruction performance than MWC.
KW - Analog to information conversion
KW - Compressive sampling
KW - Diagonal Remainder Matrix
KW - Modulated wideband converter
KW - mixing sequence
UR - https://www.scopus.com/pages/publications/85100263492
U2 - 10.1109/ICSP48669.2020.9320898
DO - 10.1109/ICSP48669.2020.9320898
M3 - 会议稿件
AN - SCOPUS:85100263492
T3 - International Conference on Signal Processing Proceedings, ICSP
SP - 205
EP - 209
BT - ICSP 2020 - 2020 IEEE 15th International Conference on Signal Processing Proceedings
A2 - Baozong, Yuan
A2 - Qiuqi, Ruan
A2 - Yao, Zhao
A2 - Gaoyun, An
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 15th IEEE International Conference on Signal Processing, ICSP 2020
Y2 - 6 December 2020 through 9 December 2020
ER -