Abstract
Power offset is zero-order term in the capacity versus signal-to-noise ratio curve. In this paper, approximate analysis of power offset is presented to describe MIMO system with uniform linear antenna arrays of fixed length. It is assumed that the number of receive antenna is larger than that of transmit antenna. Spatially Correlated MIMO Channel is approximated by tri-diagonal toeplitz matrix. The determinant of tri-diagonal toeplitz matrix, which is fitted by elementary curve, is one of the key factors related to power offset. Based on the curve fitting, the determinant of tri-diagonal toeplitz matrix is mathematically tractable. Consequently, the expression of local extreme points can be derived to optimize power offset. The simulation results show that approximation above is accurate in local extreme points of power offset. The proposed expression of local extreme points is helpful to approach optimal power offset.
Highlights
IntroductionMultiple-input multiple-output (MIMO) system is widely used in wireless communication to improve the performance
The determinant of tri-diagonal toeplitz matrix, which is fitted by elementary curve, is one of the key factors related to power offset
Multiple-input multiple-output (MIMO) system is widely used in wireless communication to improve the performance
Summary
Multiple-input multiple-output (MIMO) system is widely used in wireless communication to improve the performance. The design of communication schemes was mainly considered in the former perspectives with the aid of theoretical analysis and simulation [1][2], and [3] For the latter, important parameters such as diversity gain [4], multiplexing gain [5][6] (referred to degree of freedom in other literatures), and power offset [7,8,9], and [10] were emphatically analyzed in the high signal-to-noise ratio (SNR) region. The uniform linear array of fixed length is used in this paper to analyze the power offset of MIMO system over spatially correlated channel. APPROXIMATE ANALYSIS OF POWER OFFSET OVER SPATIALLY CORRELATED MIMO CHANNELS nel, the main result of this paper is the derived expression of local extreme points of power offset, using the uniform linear array of fixed length.
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