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Table of Contents
1. Introduction
2. Installation
3. Description of files included in the package
4. Model input/output interface
4.1 Input parameters
Definition
4.2 Output parameters
5. Optimized computation
5.1 scm_mex_core.m
5.2 interp_gain_c.m
6. Implementation notes
6.1 Configuration of link parameters
6.2 Normalization of the channel matrices with the polarization option
6.3 Sectorized Base-Stations
6.4 General Array Configurations
7. Examples
7.1 Basic examples of channel matrix generation
7.2 Antenna patterns and a dual-polarized 2x4 MIMO system
7.3 Another example about polarization option and xpd
8. Licensing and how to cite the work
9. Acknowledgement
10. References
MATLAB implementation of the 3GPP Spatial Channel Model (3GPP TR 25.996) Implementation Documentation 1.21 (scm-05-07-2006) July 5, 2006 scm-05-07-2006.zip Version: Date: File: Requires MATLAB 6.5.0 (R13) or later Authors: Jari Salo (formerly TKK) Giovanni Del Galdo (TUI, giovanni.delgaldo@tu-ilmenau.de) Jussi Salmi (TKK, jussi.salmi@tkk.fi) Pekka Kyösti (EBIT, pekka.kyosti@elektrobit.com) Marko Milojevic (TUI, marko.milojevic@tu-ilmenau.de) Daniela Laselva (Nokia, daniela.laselva@nokia.com) Christian Schneider (TUI, christian.schneider@tu-ilmenau.de) TKK = Helsinki University of Technology TUI = Technical University of Ilmenau EBIT = Elektrobit
scm_05-07-2006 Document History: July 5, 2006 14.05.2004 24.05.2004 27.05.2004 28.05.2004 29.05.2004 23.07.2004 26.07.2004 8.12.2004 14.12.2004 4.1.2005 6.3.2005 5.7.2006 Document created First draft with chapters: Introduction, High level structure and Model input/output interface Chapter added. (Giovanni) Small changes in the text. (Jari) Added examples, small changes in the text. (Pekka) Added/modified input parameters in Tables 1 to 3. (Jari) Added Sections 2,5,6 + some editing work (Jari) Edited the original WINNER internal document for public release. (Jari) Added Section 6 (Jari) Modified polarization power normalization and Section 7. (Jari) Corrected Table 5 and Table 6. Small editorial changes. (Jari, Jussi) Corrected a minor bug in scm_mex_core.c, channel coefficient computation remains unaffected. Minor/cosmetic changes in some MATLAB functions. Page 2 (18)
scm_05-07-2006 Table of Contents July 5, 2006 1. 2. 3. 4. 5. 6. 7. 8. 9. Introduction............................................................................................ 4 Installation.............................................................................................. 4 Description of files included in the package....................................... 5 4.1 4.2 5.1 5.2 6.1 6.2 6.3 6.4 7.1 7.2 7.3 Model input/output interface................................................................. 6 Input parameters......................................................................................................................6 Definition ................................................................................................................................8 Output parameters.................................................................................................................11 Optimized computation....................................................................... 11 scm_mex_core.m ..................................................................................................................11 interp_gain_c.m ....................................................................................................................12 Implementation notes.......................................................................... 12 Configuration of link parameters ..........................................................................................12 Normalization of the channel matrices with the polarization option.....................................13 Sectorized Base-Stations.......................................................................................................14 General Array Configurations...............................................................................................15 Examples.............................................................................................. 15 Basic examples of channel matrix generation.......................................................................15 Antenna patterns and a dual-polarized 2x4 MIMO system...................................................16 Another example about polarization option and xpd ............................................................17 Licensing and how to cite the work ................................................... 17 Acknowledgement............................................................................... 18 10. References ........................................................................................... 18 Page 3 (18)
scm_05-07-2006 July 5, 2006 1. Introduction This document describes a MATLAB implementation of the 3GPP Spatial Channel Model (SCM) [3GPP03]. The accompanying MATLAB code implements the system level channel model described in Section 5 of [3GPP03], except the “far scatterer clusters” feature from Section 5.5.2 and the intercell interference feature from Section 5.7. These features were left out of the implementation because they make certain restricting assumptions about the network layout. The current implementation has no built-in assumptions on network geometry and is hence usable for a variety of simulation purposes. The channel model takes the Multiple-Input Multiple-Output (MIMO) radio link parameters, model configuration parameters, and antenna parameters as inputs, and outputs the MIMO channel matrices. Channel matrices can be generated for multiple BS-MS links with one function call. The output is a multi-dimensional array which contains the channel impulse responses for a pre-defined number of radio links. Mapping of MS-BS distances, array orientations and MS mobility parameters into the SCM input format is left to the system simulator program. To make using of the model easier default (random) parameters can be used. Channel convolution and other related operations are beyond the scope of the implemented channel model. The work presented in this report has been in most parts carried out in Workpackage 5 of the WINNER1 project [WIN]. 2. Installation The code has been created and tested using Matlab version 6.5.0 (Release 13). Older versions might cause unexpected problems. While the software was primarily developed on Windows operating systems (2000Pro, XP), Linux was also used in both development and testing. The SCM package installs as a MATLAB mini-toolbox. The installation proceeds as follows: 1. Unzip the files into a directory called, for example, ‘winner’ and add it to MATLAB path. See MATLAB command addpath for information on how to add a directory to MATLAB path. 2. Type ‘help winner’ at MATLAB prompt to get started. To compile the ANSI-C functions (optional) MATLAB’s mex compiler must be properly configured. Compilation of the ANSI-C interpolation functions also requires that GNU Scientific Library [GSL] is properly installed and configured in your system. 1 Wireless World Initiative New Radio Page 4 (18)
scm_05-07-2006 3. Description of files included in the package Table 1 lists the MATLAB and C-files included in the package. A short description of each file is also given. July 5, 2006 Table 1. MATLAB and ANSI-C files included in the distributed package Filename scm.m scmparset.m linkparset.m antparset.m pathloss.m interp_gain.m Description This the main function called by the user to generate channel matrices. It calls the auxiliary functions that generate bulk parameters, do antenna pattern interpolation and compute the actual channel matrices. Helper function for setting the default parameter for the first input struct Helper function for setting the default parameter for the second input struct Helper function for setting the default parameter for the third input struct Function for computing the default pathloss according to [3GPP03, Table 5.1] Function for antenna pattern interpolation using MATLAB’s interpolating functions Function for computing “the big for loop” that generates the channel matrices scm_core.m generate_bulk_par.m Function for generating the random “bulk” parameters for interp_gain_c.m scm_mex_core.m scm_mex_core.c macro and micro cells MATLAB front end that calls interp_gain_mex.c Help text file for scm_mex_core.c Channel matrix generation implemented in ANSI-C for faster computation Antenna field pattern interpolation using GNU Scientific Library (GSL) interpolating functions. This is faster than interp_gain.m but requires that GSL is installed in the system. See [GSL] for further information. A utility function for computing the circular angle spread as defined in [3GPP03, Annex A]. This function is not necessary for channel matrix generation. A utility function for computing rms delay spread. This function is not necessary for channel matrix generation. A utility function that generates the pattern of a slanted dipole for vertical and horizontal polarizations. This is useful for creating some simple MIMO antenna configurations. interp_gain_mex.c cas.m ds.m dipole.m In addition to the files listed in Table 1 the distribution package also includes this document, a readme text file and a license.txt file. Page 5 (18)
July 5, 2006 scm_05-07-2006 4. Model input/output interface The full syntax for the SCM function is ([ . ] indicates optional arguments): [CHAN, [DELAYS], [FULLOUTPUT] ] = SCM( SCMPAR, LINKPAR, ANTPAR, [INITVALUES]). Some quick comments: • All input arguments are MATLAB structs. The first three input arguments are mandatory. A helper function will be supplied so that their default values can be set easily. • The fourth input argument is optional. When given, SCM does not generate the channel parameters randomly, but uses the user-supplied initial channel values. • The first output argument is a 5D-array containing the MIMO channel matrices for all links over a specified number of time samples. • The second output argument includes multipath delays for all links. The path delays are given in seconds. • The third output argument is a MATLAB struct containing the randomly generated link parameters and the final phases of the complex sinusoids. This MATLAB struct can be used as INITVALUES in subsequent function calls. The input and output parameters are explained in the following sections. 4.1 Input parameters There are four input arguments, all of which are MATLAB structs. The first three arguments are mandatory. Tables 1-4 describe the fields of the input structs. Table 2: General channel model parameters. Common for all links, MATLAB struct SCMPAR. Parameter name NumBsElements NumMsElements Scenario SampleDensity NumTimeSamples UniformTimeSampling Definition The number of elements in the BS array. This parameter is ignored if antenna patterns are defined in the input struct ANTPAR. In this case the number of BS elements is extracted from the antenna definition. The number of elements in the MS array. This parameter is ignored if antenna patterns are defined in the input struct ANTPAR. In this case the number of BS elements is extracted from the antenna definition. Selected SCM channel,scenario (‘suburban_macro’, ‘urban_macro’ or ‘urban_micro’) Time sampling interval of the channel. A value greater than one should be selected if Doppler analysis is to be done. Number of channel samples (impulse response matrices) to generate per link. If this parameter has value ‘yes’, the time sampling interval of the channel for each user will be equal. Sampling interval will be calculated from the SampleDensity and the highest velocity found in the input parameter vector MsVelocity. If this parameter has value ’no’, then the time sampling interval for each link will be different, if MSs have different speeds (see linkpar.MsVelocity). Setting this parameters ‘yes’ may be useful in some system- level simulations where all simulated links need to be sampled at equal time intervals, regardless of MS Default value Unit 2 2 ’urban_micro’ - 2 100 ‘no’ samples/half wavelength - Page 6 (18)
scm_05-07-2006 July 5, 2006 speeds. BS mean angle spread for urban macro environment. Possible values are ‘eight’ and ‘fifteen’ degrees. This variable is ignored if ‘Scenario’ is not ‘urban_macro’. Number of paths (channel taps). Path delays are drawn from the delay distribution specified in [3GPP03] regardless of the number of paths set. Number of sub-paths per path. The only value supported in the SCM specification is 20 subpaths, see [3GPP03, Table 5.2]. Carrier center frequency. Affects path loss and time sampling interval. SCM options ('none','polarized','los','urban_canyon'). The options are mutually exclusive. Delay sampling interval (delay resolution). The default corresponds to Tc/16, where Tc=1/3.84e6 [3GPP03, Sec. 5.3.1]. With this set to ‘yes’ the power of the elements of the channel matrix (without pathloss) is normalized to a constant, that does not depend on the XPD ratios. See Section 6.2. Path loss included in the channel matrices yes/no (if ‘no’, PL is calculated and returned in the third output argument, but not multiplied with the channel matrices) Shadow fading included in the channel matrices yes/no (if ‘no’ shadow fading is still computed and returned in the third output argument, but not multiplied with the channel matrices). Note that if both path loss and shadowing are switched off the average power of the channel matrix elements will be one (with azimuthally uniform unit gain antennas). The name of the path loss function. Function ‘pathloss’ implements the default SCM path loss model. If the default is used, center frequency is taken from the parameter CenterFrequency. One can define his/her own path loss function. For syntax, see PATHLOSS. Use optimized computation yes/no. With ‘yes’ faster C-function is used instead of m-function. Note the C-function SCM_MEX_CORE.C must be compiled before usage. For more information, see SCM_MEX_CORE.M. If optimized computation is used, complex exponentials are taken from a look-up table to speed up computation or calculated explicitly. This parameter defines the lookup table size. Value 0 indicates that lookup table is not used, value –1 uses the default table size 214 =16384. The size of the table must be a power-of-two. If AnsiC_core = ‘no’ this parameter is ignored. Random seed for fully repeatable channel generation (if empty, seed is generated randomly). Note that even if RandomSeed is fixed, two channel realizations may still not be the same due to potential differences between random number generators in different MATLAB versions. Note also that one must also use the same link and antenna parameters. BsUrbanMacroAS NumPaths NumSubPathsPerPath CenterFrequency ScmOptions DelaySamplingInterval XpdIndependentPower PathLossModelUsed ShadowingModelUsed PathLossModel AnsiC_core LookUpTable RandomSeed ‘eight’ 6 20 2E9 ‘none’ 1.6276e-8 ‘no’ ‘no’ ‘no’ ‘pathloss’ ‘no’ - - - Hz - sec - - - - - 0 integer integer Page 7 (18)
scm_05-07-2006 July 5, 2006 All parameters in this MATLAB struct are vectors of length K, where K is the number of links. The values, if not specified in [3GPP03] are randomly generated; they are not based on any specific network geometry or user mobility model and are provided for easier usage of the model. For a brief example of link parameter configuration, see Section 6.1. Table 3: Link-dependent parameters, MATLAB struct LINKPAR. Parameter name Definition MsBsDistance Distance between BS and MS ThetaBs ThetaMs OmegaBs OmegaMs MsVelocity MsDirection MsHeight BsHeight MsNumber θBS (see Figure 1) θMS (see Figure 1) ΩMS (see Figure 1), this parameter is not currently used. ΩMS (see Figure 1), this parameter is not currently used. MS velocity θv (see Figure 1) Height of MS. Possibly needed for path loss computation. Height of BS. Possibly needed for path loss computation. Index number (positive integer) of the MS for each simulated link. This parameter is needed for generating shadow fading values with inter-site correlation. Shadow fading is correlated for links between a single MS and multiple BSs (inter-site correlation). There is no correlation between shadow fading between different MSs. Default value Users are approximately uniformly distributed in a circular cell over distances of [35,500] meters U(-180,180) U(-180,180) NaN NaN 10*ONES(1,K) U(-180,180) 1.5*ONES(1,K) 32*ONES(1,K) [1:K] Unit m deg deg deg deg m/s deg m m - The following parameters characterize the antennas. In this SCM implementation, only linear arrays with dual-polarized elements are supported. The antenna patterns do not have to be identical. The complex field pattern values for the randomly generated AoDs and AoAs are interpolated. Table 4. Antenna parameters, MATLAB struct ANTPAR Parameter name BsGainPattern Definition BS antenna field pattern values in a 4D array. The dimensions are [ELNUM POL EL AZ] = SIZE(BsGainPattern), where ELNUM is the number of antenna elements in the array. The elements may be dual-polarized. POL – polarization. The first dimension is vertical polarization, the second is horizontal. If the polarization option is not used, vertical polarization is assumed (if both are given). EL – elevation. This value is ignored. Only the first element of this dimension is used. AZ – complex-valued field pattern in the azimuth dimension given at azimuth angles defined in Default value Unit 1 Page 8 (18)
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