摘要
在本篇論文中, 我們提出了一種可同時精確估測二維方位角與載波
頻率之演算法, 此演算法主要架構是運用正交投影矩陣, 將接收訊號拆解成二
維方位角所生成之訊號子空間與載波頻率所生成之訊號子空間, 再運用二維
Unitary-ESPRIT 及一維Unitary-ESPRIT 演算法將接收訊號中的參數估測出
來; 之後, 我們更將上述演算法之架構作進一步延伸, 將接收訊號分解成三個
一維的訊號子空間, 再利用一維Unitary-ESPRIT 估測出精準的方位角與載波
頻率以降低整體複雜度。另一方面,我們也可利用相同的架構來估測二維方位
角與時間延遲之接收訊號。最後, 在本篇論文模擬結果中, 可以顯示我們所提
出的演算法, 可同時準確的估測接收訊號之二維方位角與載波頻率或二維方
向角與時間延遲等相關參數。
關鍵字: 二維方位角, 載波頻率, 時間延遲, 正交投影矩陣, 二維Unitary-
ESPRIT, 一維Unitary-ESPRIT , 參數估測。
i

ABSTRACT
In this thesis, we propose low-complexity, yet high accuracy algorithms to
jointly estimate two-dimensional directions of arrival (DOAs) and carrier frequency
using a uniform rectangular array. To achieve this, we utilize the (2-D) unitary
Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT)
and one-dimensional (1-D) unitary ESPRIT to estimate the 2-D DOAs and frequencies
of the incoming rays, respectively. Also, to enhance the performance, a
signal partitioning process, implemented by a set of projection matrices, is invoked
in between the unitary ESPRIT algorithms. To further reduce the computation,
we also decompose the 2-D DOA estimation process, so that only 1-D unitary
ESPRIT algorithm are required. Similar techniques are also employed for joint
2-D DOA and delay estimation. Conducted simulations show that the new algorithms
can provide satisfactory performance compared with previous works, but
with drastically reduced computational complexity.
Keywords: 2D DOA, carrier frequencies, time delay, projection matrices, 2D
Unitary-ESPRIT, 1D Unitary-ESPRIT, parameter estimation

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