Bilateral CORDIC arithmetic unit, and parallel Jacobian Hermite matrix characteristic decomposition method and implementation circuit based on bilateral CORDIC arithmetic unit.

Abstract

The invention provides a bilateral CORDIC arithmetic unit, and a parallel Jacobian Hermite matrix characteristic decomposition method and an implementation circuit based on the bilateral CORDIC arithmetic unit. The parallel bilateral CORDIC arithmetic unit is of a six-input and four-output structure. Two times of unilateral CORDIC operation conversion are finished in one-time operation. Meanwhile, the bilateral CORDIC structure can enlarge the angle range of unilateral CORDIC operation from [-pi / 2, pi / 2) to [-pi, pi) by one time, and reuse of the same circuit structure in the realification process and the diagonalization process of a complex matrix can be possible. The bilateral CORDIC arithmetic unit, and the Hermite matrix characteristic decomposition method and the implementation circuit achieved by utilizing the bilateral CORDIC arithmetic unit can effectively reduce circuit operation time delay, reduce hardware resource consumption and improve operation precision of the circuit through unified factor rectification.

Description

technical field [0001] The invention relates to the communication field, and in particular to a parallel bilateral CORDIC operation unit, a circuit and a method for realizing Hermitian matrix eigendecomposition of parallel Jacobian operations based on the operation unit. Background technique [0002] The increase in the number of mobile users and the increase in mobile Internet services have brought higher requirements on the capacity and quality of communication systems. Multiple Input Multiple Output (MIMO) technology can fully tap the spatial dimension and provide space division multiplexing gain and diversity gain, thereby significantly improving the spectral efficiency of the communication system and improving communication quality. In fact, the MIMO technology has been adopted by various wireless communication technology standards including 802.11n and Long Term Evolution (LTE). However, while MIMO technology improves the system performance, the signal processing comp...

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Problems solved by technology

[0003] The vast majority of eigenvalue decomposition algorithms are solved iteratively. Common Hermitian matrix eigendecomposition methods include Jacobian algorithm, parallel Jacobian algorithm, QR decomposition algorithm, and DQDS algorithm. Among many methods, The parallel Jacobian method has attracted wide attention due to its advantages of high parallelism, numerical stability, high precision, and simple circuit implementation, but it also has the obvious disadvantage of slow convergence speed, which means more iterations are needed. As a result, a large circuit delay is brought about, which is not conducive to improving the implementation efficiency

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