Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method

ZHOU Fang; SHUI Penglang; JIANG Junzheng

doi:10.11999/JEIT160651

Volume 39 Issue 5

May 2017

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ZHOU Fang, SHUI Penglang, JIANG Junzheng. Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method[J]. Journal of Electronics & Information Technology, 2017, 39(5): 1261-1265. doi: 10.11999/JEIT160651

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ZHOU Fang, SHUI Penglang, JIANG Junzheng. Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method[J]. Journal of Electronics & Information Technology, 2017, 39(5): 1261-1265. doi: 10.11999/JEIT160651

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Design of Two-dimensional Modified DFT Modulated Filter Banks Based on Lagrange Multiplier Method

doi: 10.11999/JEIT160651

1.
2.
(National Laboratory of Radar Signal Processing, Xidian University, Xi&rsquo

Funds:

The National Natural Science Foundation of China (61261032)

Received Date: 2016-06-21
Rev Recd Date: 2016-11-28
Publish Date: 2017-05-19

Abstract

Abstract

Base on Lagrange multiplier method, an iterative algorithm is proposed to design the two-dimensional modified Discrete Fourier Transform (DFT) modulated filter bank. In each iteration, the design problem is described as a Quadratically Constrained Quadratic Program (QCQP). The Lagrange multiplier method is then employed to transform the constrained problem into an unconstrained one, the solution of which is obtained by solving a set of linear equations. By analyzing the coefficient matrix, block LU factorization is applied to considerably reduce the computational complexity. Numerical results and comparison with the existing methods demonstrate the improved performance of the proposed scheme, including the reconstruction error and stopband attenuation.
- Two-dimensional modified filter bank,
- DFT modulated,
- Iteration optimization,
- Lagrange multiplier method,
- Block LU factorization

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References(19)

References

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