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Non orthogonal space time block codes

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10 Non-orthogonal space-time block codes 10.1 Introduction We introduced space-time block coding in Chapter 4. The space-time block codes in Chapters 4 and 5 have interesting structures that can be...

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10 Non-orthogonal space-time block codes 10.1 Introduction We introduced space-time block coding in Chapter 4. The space-time block codes in Chapters 4 and 5 have interesting structures that can be...

Maximum likelihood decoding and maximum ratio

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4.3 Maximum-likelihood decoding and maximum ratio combining 59 of the code is two. This provides dual diversity that is the same as the diversity of a system with one transmit antenna and two receive...

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4.3 Maximum-likelihood decoding and maximum ratio combining 59 of the code is two. This provides dual diversity that is the same as the diversity of a system with one transmit antenna and two receive...

Historical notes on transmit diversity

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26 Introduction maintain low implementation complexity, a simple linear beamforming scheme at the transmitter is preferred. If non-perfect channel state information is available, a combined...

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26 Introduction maintain low implementation complexity, a simple linear beamforming scheme at the transmitter is preferred. If non-perfect channel state information is available, a combined...

Generalized real orthogonal designs

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Due to the structure of the orthogonal designs, each symbol xk appears only once in every column. Therefore the above definition determines without any ambiguity. As a reference, we provide for...

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Due to the structure of the orthogonal designs, each symbol xk appears only once in every column. Therefore the above definition determines without any ambiguity. As a reference, we provide for...

Generalized complex orthogonal designs

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Construction: Given a complex orthogonal design of size N , we replace each complex variable xn {xn } {xn }j, 1 n N by the 2 2 real matrix {xn} {xn} . () {xn} {xn} The resulting 2N 2N matrix...

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Construction: Given a complex orthogonal design of size N , we replace each complex variable xn {xn } {xn }j, 1 n N by the 2 2 real matrix {xn} {xn} . () {xn} {xn} The resulting 2N 2N matrix...

Diversity

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The path gains, j , are independent complex Gaussian distributions and t rep- resents the noise. In the case of Rayleigh fading, they are zero-mean iid complex Gaussian random variables. A special...

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The path gains, j , are independent complex Gaussian distributions and t rep- resents the noise. In the case of Rayleigh fading, they are zero-mean iid complex Gaussian random variables. A special...

Differential space time modulation

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8 Differential space-time modulation 8.1 Introduction The primary focus of the codes that we have discussed so far has been on the case when only the receiver knows the channel. This is the case for...

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8 Differential space-time modulation 8.1 Introduction The primary focus of the codes that we have discussed so far has been on the case when only the receiver knows the channel. This is the case for...

Complex orthogonal designs

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76 Orthogonal space-time block codes where k HT ET is the kT row of a K T matrix and contains T elements. These elements are a function of N path gains 1, 2,..., N . Note that T N...

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76 Orthogonal space-time block codes where k HT ET is the kT row of a K T matrix and contains T elements. These elements are a function of N path gains 1, 2,..., N . Note that T N...

Closed loop versus open loop systems

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24 Introduction Optimal trade-off 12 10 8 6 4 2 0 0 1 2 3 Spatial multiplexing gain Fig. . Optimal trade-off between spatial multiplexing gain (an indication of rate) and diversity. where r...

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24 Introduction Optimal trade-off 12 10 8 6 4 2 0 0 1 2 3 Spatial multiplexing gain Fig. . Optimal trade-off between spatial multiplexing gain (an indication of rate) and diversity. where r...

Capacity of MIMO channels

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equations is the method of normalization. Another difference is that the representa- tion of the SNR, the main performance factor, is implicit in (2.5) and explicit in (2.7). 2.2 Capacity of MIMO...

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equations is the method of normalization. Another difference is that the representa- tion of the SNR, the main performance factor, is implicit in (2.5) and explicit in (2.7). 2.2 Capacity of MIMO...

Additional topics in space time coding

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11 Additional topics in space-time coding 11.1 MIMO-OFDM OFDM is an efcient technique for transmitting data over frequency selective chan- nels. The main idea behind OFDM is to divide a broadband...

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11 Additional topics in space-time coding 11.1 MIMO-OFDM OFDM is an efcient technique for transmitting data over frequency selective chan- nels. The main idea behind OFDM is to divide a broadband...

Alamouti code

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4 Orthogonal space-time block codes 4.1 Introduction In this section, we study the design of space-time block codes (STBCs) to transmit information over a multiple antenna wireless communication...

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4 Orthogonal space-time block codes 4.1 Introduction In this section, we study the design of space-time block codes (STBCs) to transmit information over a multiple antenna wireless communication...

Wireless applications

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2 Introduction while keeping the transmission power intact. Most of the book discusses differ- ent space-time coding methods in detail. The detailed discussion of...

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2 Introduction while keeping the transmission power intact. Most of the book discusses differ- ent space-time coding methods in detail. The detailed discussion of...

Super orthogonal space time trellis codes

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7 Super-orthogonal space-time trellis codes 7.1 Motivation STBCs provide full diversity and small decoding complexity. STBCs...

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7 Super-orthogonal space-time trellis codes 7.1 Motivation STBCs provide full diversity and small decoding complexity. STBCs...

Transmission model for multiple input multiple output

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2 Capacity of multiple-input multiple-output channels 2.1 Transmission model for multiple-input multiple-output channels We consider a communication system,...

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2 Capacity of multiple-input multiple-output channels 2.1 Transmission model for multiple-input multiple-output channels We consider a communication system,...

Wireless channels

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1.3 Wireless channels 5 Fig. 1.1. An example of different paths in a wireless channel. to the topic, as it is needed in our...

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1.3 Wireless channels 5 Fig. 1.1. An example of different paths in a wireless channel. to the topic, as it is needed in our...

Symmetric homogeneous means

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26 2 Double integral transformations (X) sH (X)sK (H, 0)sH X(1 sK ) (1 sH )XsK (0, K) (0, 0)(1 sH )X(1 sK ). Proof. The equation sH ((X))sK (sH XsK ) is seen from...

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26 2 Double integral transformations (X) sH (X)sK (H, 0)sH X(1 sK ) (1 sH )XsK (0, K) (0, 0)(1 sH )X(1 sK ). Proof. The equation sH ((X))sK (sH XsK ) is seen from...

Uniform bounds for norms

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106 8 Certain alternating sums of operators 8.1 Preliminaries For n 1, 2, and m 2, 3, we set n k n1k...

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106 8 Certain alternating sums of operators 8.1 Preliminaries For n 1, 2, and m 2, 3, we set n k n1k...

Ubiquity of the Distance Function in Mathematical Morphology

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Ubiquity of the Distance Function in Mathematical Morphology Distance Function: a Historical Tool Distance has been the key notion for usual Euclidean geometry and the definition of geometrical...

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Ubiquity of the Distance Function in Mathematical Morphology Distance Function: a Historical Tool Distance has been the key notion for usual Euclidean geometry and the definition of geometrical...

The influence of the specificity of the diamond mining industry on the development of geostatistics

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The influence of the specificity of the diamond mining industry on the development of geostatistics 3.1 Introduction Diamonds are a unique commodity in the realms of mining and its associated...

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The influence of the specificity of the diamond mining industry on the development of geostatistics 3.1 Introduction Diamonds are a unique commodity in the realms of mining and its associated...

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