├── ChirpComm_Startup.m ├── Example ├── OCDMModem │ └── Example_OCDMModem.m ├── OCDM_AWGNPerformance │ └── Example_OCDM_AWGNPerformance.m └── OCDM_MultipathTransmission │ └── Example_OCDM_MultipathTransmission.m ├── LICENSE ├── README.md └── lib ├── FastDFnT.m ├── FastInvDFnT.m ├── xOCDMModem_RX.m └── xOCDMModem_TX.m /ChirpComm_Startup.m: -------------------------------------------------------------------------------- 1 | 2 | 3 | addpath( '.\lib' ); -------------------------------------------------------------------------------- /Example/OCDMModem/Example_OCDMModem.m: -------------------------------------------------------------------------------- 1 | %% OCDMModem 2 | % This example shows how OCDM is generated based on the Fresnel 3 | % transforms under AWGN channel. 4 | 5 | clear all; 6 | 7 | %% Simulation Parameters 8 | 9 | % Symbol Mapping 10 | num_ModemOrder = 4; 11 | symbolConstMapping = qammod( ( 0 : 2^num_ModemOrder - 1 ).', 2^num_ModemOrder, 'InputType', 'integer', 'UnitAveragePower', true ); 12 | % OCDM Modulation 13 | num_OCDMGrdIntv = 256; 14 | num_OCDMSymbol = 4096; 15 | num_OCDMChirp = 4096; 16 | num_OCDMBlock = 2^8; 17 | % Signal Frame 18 | num_InfoBit = num_ModemOrder * num_OCDMSymbol * num_OCDMBlock; 19 | num_ModSignal = ( num_OCDMChirp + num_OCDMGrdIntv ) * num_OCDMBlock; 20 | % Channel Setting 21 | num_EbN0_dB = 10; 22 | num_SNR_dB = num_EbN0_dB + 10 * log10( num_ModemOrder ); 23 | 24 | 25 | %% OCDM Transmitter 26 | 27 | t_InfoBit = double( rand( num_InfoBit, 1 ) > 0.5 ); 28 | t_ModSymbol = qammod( t_InfoBit, 2^num_ModemOrder, 'InputType', 'bit', 'UnitAveragePower', true ); 29 | t_OCDMSymbol = reshape( t_ModSymbol, num_OCDMChirp, num_OCDMBlock ); 30 | t_OCDMSignal = FastInvDFnT( t_OCDMSymbol, num_OCDMChirp ); 31 | t_OCDMSignal_GI = [ 32 | t_OCDMSignal( num_OCDMChirp - num_OCDMGrdIntv + 1 : num_OCDMChirp, : ) 33 | t_OCDMSignal 34 | ]; 35 | t_ModSignal = t_OCDMSignal_GI( : ); 36 | 37 | 38 | %% Channel Transmission 39 | 40 | r_ModSignal = awgn( t_ModSignal, num_SNR_dB ); 41 | 42 | 43 | %% OCDM Receiver 44 | 45 | r_OCDMSignal_GI = reshape( r_ModSignal, num_OCDMChirp + num_OCDMGrdIntv, num_OCDMBlock ); 46 | r_OCDMSignal = r_OCDMSignal_GI( num_OCDMGrdIntv + 1 : num_OCDMGrdIntv + num_OCDMChirp, : ); 47 | r_OCDMSymbol = FastDFnT( r_OCDMSignal, num_OCDMChirp ); 48 | r_ModSymbol = r_OCDMSymbol( : ); 49 | r_InfoBit = qamdemod( r_ModSymbol, 2^num_ModemOrder, 'OutputType', 'bit', 'UnitAveragePower', true ); 50 | 51 | 52 | %% Performance Evaluation and Rendering 53 | 54 | num_BitError = sum( r_InfoBit ~= t_InfoBit ); 55 | num_BER = num_BitError / num_InfoBit; 56 | num_EVM = mean( abs( r_ModSymbol - t_ModSymbol ) ); 57 | num_SigVar = mean( abs( r_ModSymbol - t_ModSymbol ).^2 ); 58 | 59 | 60 | figure; 61 | box on; 62 | hold on; 63 | plot( r_ModSymbol, '.', 'MarkerSize', 3 ); 64 | plot( symbolConstMapping, '.', 'MarkerSize', 16 ); 65 | 66 | 67 | str_PerfPrompt = 'EbN0 = %.2f dB, EVM = %.2f%%, BER = %.3e (%d errors out of %d bits)\n'; 68 | fprintf( str_PerfPrompt, num_EbN0_dB, num_EVM * 100, num_BER, num_BitError, num_InfoBit ); 69 | 70 | 71 | -------------------------------------------------------------------------------- /Example/OCDM_AWGNPerformance/Example_OCDM_AWGNPerformance.m: -------------------------------------------------------------------------------- 1 | %% OCDMModem 2 | % This example shows the performance OCDM signals under AWGN channel and 3 | % compares it with the theoretical BER performance. 4 | 5 | clear all; 6 | 7 | %% Simulation Parameters 8 | 9 | % Symbol Mapping 10 | num_ModemOrder = 4; 11 | symbolConstMapping = qammod( ( 0 : 2^num_ModemOrder - 1 ).', 2^num_ModemOrder, 'InputType', 'integer', 'UnitAveragePower', true ); 12 | % OCDM Modulation 13 | num_OCDMGrdIntv = 256; 14 | num_OCDMSymbol = 4096; 15 | num_OCDMChirp = 4096; 16 | num_OCDMBlock = 2^10; 17 | OCDMParam = struct; 18 | OCDMParam.Num_GrdIntv = num_OCDMGrdIntv; 19 | OCDMParam.Num_Symbol = num_OCDMSymbol; 20 | OCDMParam.Num_Chirp = num_OCDMChirp; 21 | OCDMParam.Num_Block = num_OCDMBlock; 22 | % Signal Frame 23 | num_InfoBit = num_ModemOrder * num_OCDMSymbol * num_OCDMBlock; 24 | num_ModSignal = ( num_OCDMChirp + num_OCDMGrdIntv ) * num_OCDMBlock; 25 | % Channel Setting 26 | vec_EbN0_dB = ( 0 : 1 : 20 ).'; 27 | vec_SNR_dB = vec_EbN0_dB + 10 * log10( num_ModemOrder ); 28 | vec_BER = zeros( size( vec_EbN0_dB ) ); 29 | vec_EVM = zeros( size( vec_EbN0_dB ) ); 30 | 31 | 32 | 33 | for cnt_SNR = 1 : numel( vec_SNR_dB ) 34 | 35 | num_SNR_dB = vec_SNR_dB( cnt_SNR ); 36 | num_EbN0_dB = vec_EbN0_dB( cnt_SNR ); 37 | 38 | %% OCDM Transmitter 39 | 40 | t_InfoBit = double( rand( num_InfoBit, 1 ) > 0.5 ); 41 | t_ModSymbol = qammod( t_InfoBit, 2^num_ModemOrder, 'InputType', 'bit', 'UnitAveragePower', true ); 42 | t_ModSignal = OCDMMod( t_ModSymbol, OCDMParam ); 43 | 44 | 45 | %% Channel Transmission 46 | 47 | r_ModSignal = awgn( t_ModSignal, num_SNR_dB ); 48 | 49 | 50 | %% OCDM Receiver 51 | 52 | r_ModSymbol = OCDMDemod( r_ModSignal, OCDMParam ); 53 | r_InfoBit = qamdemod( r_ModSymbol, 2^num_ModemOrder, 'OutputType', 'bit', 'UnitAveragePower', true ); 54 | 55 | 56 | %% Performance Evaluation 57 | 58 | num_BitError = sum( r_InfoBit ~= t_InfoBit ); 59 | num_BER = num_BitError / num_InfoBit; 60 | num_EVM = mean( abs( r_ModSymbol - t_ModSymbol ) ); 61 | num_SigVar = mean( abs( r_ModSymbol - t_ModSymbol ).^2 ); 62 | 63 | vec_BER( cnt_SNR ) = num_BER; 64 | vec_EVM( cnt_SNR ) = num_EVM; 65 | 66 | str_PerfPrompt = 'EbN0 = %.2f dB, EVM = %.2f%%, BER = %.3e (%d errors out of %d bits)\n'; 67 | fprintf( str_PerfPrompt, num_EbN0_dB, num_EVM * 100, num_BER, num_BitError, num_InfoBit ); 68 | 69 | end 70 | 71 | 72 | %% Results Rendering 73 | vec_TheorBER = berawgn( vec_EbN0_dB, 'qam', 2^num_ModemOrder ); 74 | vec_TheorEVM = 1 ./ ( 10.^( vec_SNR_dB ./ 20 ) ); 75 | 76 | figure; 77 | box on; 78 | semilogy( vec_EbN0_dB, vec_BER, 'o', 'MarkerSize', 6 ); 79 | hold on; 80 | semilogy( vec_EbN0_dB, vec_TheorBER, '-' ); 81 | title( 'BER versus E_{b}/N_{0}' ); 82 | xlabel( 'E_{b}/N_{0}' ); 83 | xlim( [ 0, 20 ] ); 84 | ylabel( 'BER' ); 85 | ylim( [ 1e-6, 1e-1 ] ); 86 | 87 | 88 | figure; 89 | box on; 90 | plot( vec_EbN0_dB, vec_EVM, 'o', 'MarkerSize', 6 ); 91 | hold on; 92 | plot( vec_EbN0_dB, vec_TheorEVM, '-' ); 93 | title( 'EVM versus E_{b}/N_{0}' ); 94 | xlabel( 'E_{b}/N_{0}' ); 95 | xlim( [ 0, 20 ] ); 96 | ylabel( 'EVM' ); 97 | ylim( [ 0, 0.5 ] ); 98 | 99 | 100 | 101 | %% 102 | 103 | function t_ModSignal = OCDMMod( t_ModSymbol, OCDMParam ) 104 | 105 | num_GrdIntv = OCDMParam.Num_GrdIntv; 106 | num_Symbol = OCDMParam.Num_Symbol; 107 | num_Chirp = OCDMParam.Num_Chirp; 108 | num_Block = OCDMParam.Num_Block; 109 | 110 | t_OCDMSymbol = reshape( t_ModSymbol, num_Symbol, num_Block ); 111 | t_OCDMSignal = FastInvDFnT( t_OCDMSymbol, num_Chirp ); 112 | t_OCDMSignal_GI = [ 113 | t_OCDMSignal( num_Chirp - num_GrdIntv + 1 : num_Chirp, : ) 114 | t_OCDMSignal 115 | ]; 116 | t_ModSignal = t_OCDMSignal_GI( : ); 117 | 118 | end 119 | 120 | 121 | function r_ModSymbol = OCDMDemod( r_ModSignal, OCDMParam ) 122 | 123 | num_GrdIntv = OCDMParam.Num_GrdIntv; 124 | num_Symbol = OCDMParam.Num_Symbol; 125 | num_Chirp = OCDMParam.Num_Chirp; 126 | num_Block = OCDMParam.Num_Block; 127 | 128 | r_OCDMSignal_GI = reshape( r_ModSignal, num_Chirp + num_GrdIntv, num_Block ); 129 | r_OCDMSignal = r_OCDMSignal_GI( num_GrdIntv + 1 : num_GrdIntv + num_Chirp, : ); 130 | r_OCDMSymbol = FastDFnT( r_OCDMSignal, num_Chirp ); 131 | r_ModSymbol = r_OCDMSymbol( : ); 132 | 133 | end 134 | -------------------------------------------------------------------------------- /Example/OCDM_MultipathTransmission/Example_OCDM_MultipathTransmission.m: -------------------------------------------------------------------------------- 1 | %% OCDMModem 2 | % This example shows the performance OCDM signals under AWGN channel and 3 | % compares it with the theoretical BER performance. 4 | 5 | clear all; 6 | 7 | %% Simulation Parameters 8 | 9 | % Symbol Mapping 10 | num_ModemOrder = 4; 11 | symbolConstMapping = qammod( ( 0 : 2^num_ModemOrder - 1 ).', 2^num_ModemOrder, 'InputType', 'integer', 'UnitAveragePower', true ); 12 | % OCDM Modulation 13 | num_OCDMGrdIntv = 256; 14 | num_OCDMSymbol = 4096; 15 | num_OCDMChirp = 4096; 16 | num_OCDMBlock = 2^6; 17 | OCDMParam = struct; 18 | OCDMParam.Num_GrdIntv = num_OCDMGrdIntv; 19 | OCDMParam.Num_Symbol = num_OCDMSymbol; 20 | OCDMParam.Num_Chirp = num_OCDMChirp; 21 | OCDMParam.Num_Block = num_OCDMBlock; 22 | % OCDM Channel Equalization 23 | OCDMChEst_Param = struct; 24 | OCDMChEst_Param.EQUMode = 1; 25 | OCDMChEst_Param.SNR = 100; 26 | OCDMChEst_Param.CFR = 1; 27 | % Signal Frame 28 | num_InfoBit = num_ModemOrder * num_OCDMSymbol * num_OCDMBlock; 29 | num_ModSignal = ( num_OCDMChirp + num_OCDMGrdIntv ) * num_OCDMBlock; 30 | % Multipath Fading Channel 31 | mode_Multipath = 'LTE-EVA'; 32 | switch mode_Multipath 33 | case 'AWGN' 34 | 35 | case 'EquiPath' 36 | Ch_MultiPath_PDP = [ 1, 1, 1, 1, 1, 1 ].'; % Power delay profile 37 | Ch_MultiPath_DP = [ 0, 6, 8, 11, 17, 25 ].'; % Delay profile 38 | case 'LTE-EVA' 39 | Ch_EVA_DelayProfile = [ 40 | 0 0.0 41 | 30 -1.5 42 | 150 -1.4 43 | 310 -3.6 44 | 370 -0.6 45 | 710 -9.1 46 | 1090 -7.0 47 | 1730 -12.0 48 | 2510 -16.9 49 | ]; 50 | Ch_MultiPath_PDP = 10.^( Ch_EVA_DelayProfile( : , 2 ) ./ 10 ); 51 | Ch_MultiPath_DP = round( Ch_EVA_DelayProfile( : , 1 ) ./ 1e9 .* 100e6 ); 52 | otherwise 53 | 54 | end 55 | 56 | 57 | Ch_MultiPath_PDP = Ch_MultiPath_PDP ./ sum( Ch_MultiPath_PDP ); 58 | Ch_NumTap = size( Ch_MultiPath_DP, 1 ); 59 | 60 | % Channel Setting 61 | vec_EbN0_dB = ( 00 : 5 : 50 ).'; 62 | vec_SNR_dB = vec_EbN0_dB + 10 * log10( num_ModemOrder ); 63 | vec_BER = zeros( size( vec_EbN0_dB ) ); 64 | vec_EVM = zeros( size( vec_EbN0_dB ) ); 65 | 66 | num_Loop = 2^8; 67 | 68 | for cnt_SNR = 1 : numel( vec_SNR_dB ) 69 | 70 | num_SNR_dB = vec_SNR_dB( cnt_SNR ); 71 | num_EbN0_dB = vec_EbN0_dB( cnt_SNR ); 72 | num_BitError = 0; 73 | num_EVM = 0; 74 | num_SigVar = 0; 75 | 76 | for cnt_Loop = 1 : num_Loop 77 | %% OCDM Transmitter 78 | 79 | t_InfoBit = double( rand( num_InfoBit, 1 ) > 0.5 ); 80 | t_ModSymbol = qammod( t_InfoBit, 2^num_ModemOrder, 'InputType', 'bit', 'UnitAveragePower', true ); 81 | t_ModSignal = xOCDMModem_TX( t_ModSymbol, OCDMParam ); 82 | 83 | 84 | %% Channel Transmission 85 | 86 | ch_Signal = t_ModSignal; 87 | % Multipath channel implementation 88 | Ch_MultiPath_Tap = sqrt( 0.5 ) * randn( size( Ch_MultiPath_PDP ) ) + 1i * randn( size( Ch_MultiPath_PDP ) ); 89 | Ch_MultiPath_Tap = Ch_MultiPath_PDP .* Ch_MultiPath_Tap; 90 | Ch_MultiPath_CIR = zeros( num_OCDMChirp, 1 ); 91 | Ch_MultiPath_CIR( 1 + Ch_MultiPath_DP, : ) = Ch_MultiPath_Tap; 92 | Ch_MultiPath_CFR = fft( Ch_MultiPath_CIR ); 93 | 94 | ch_MultiPath_Signal = zeros( size( t_ModSignal ), 'like', ch_Signal ); 95 | for cnt_Path = 1 : Ch_NumTap 96 | ch_MultiPath_Signal = ch_MultiPath_Signal + ... 97 | Ch_MultiPath_Tap( cnt_Path ) .* circshift( ch_Signal, [ Ch_MultiPath_DP( cnt_Path ), 0 ] ); 98 | end 99 | 100 | % Received signal at RF front-end 101 | r_ModSignal = ch_MultiPath_Signal; 102 | r_ModSignal = awgn( r_ModSignal, num_SNR_dB ); 103 | 104 | 105 | %% OCDM Receiver 106 | 107 | OCDMChEst_Param.SNR = 10.^( num_SNR_dB ./ 10 ); 108 | OCDMChEst_Param.CFR = Ch_MultiPath_CFR; 109 | 110 | r_ModSymbol = xOCDMModem_RX( r_ModSignal, OCDMParam, OCDMChEst_Param ); 111 | r_InfoBit = qamdemod( r_ModSymbol, 2^num_ModemOrder, 'OutputType', 'bit', 'UnitAveragePower', true ); 112 | 113 | num_BitError = num_BitError + sum( r_InfoBit ~= t_InfoBit ); 114 | num_EVM = num_EVM + mean( abs( r_ModSymbol - t_ModSymbol ) ); 115 | num_SigVar = num_SigVar + mean( abs( r_ModSymbol - t_ModSymbol ).^2 ); 116 | 117 | end 118 | 119 | 120 | %% Performance Evaluation 121 | 122 | num_BER = num_BitError / num_InfoBit / num_Loop; 123 | num_EVM = num_EVM / num_Loop; 124 | num_SigVar = num_SigVar / num_Loop; 125 | 126 | vec_BER( cnt_SNR ) = num_BER; 127 | vec_EVM( cnt_SNR ) = num_EVM; 128 | 129 | str_PerfPrompt = 'EbN0 = %.2f dB, EVM = %.2f%%, BER = %.3e (%d errors out of %d bits)\n'; 130 | fprintf( str_PerfPrompt, num_EbN0_dB, num_EVM * 100, num_BER, num_BitError, num_InfoBit ); 131 | 132 | end 133 | 134 | 135 | %% Results Rendering 136 | vec_TheorBER = berawgn( vec_EbN0_dB, 'qam', 2^num_ModemOrder ); 137 | 138 | figure; 139 | box on; 140 | semilogy( vec_EbN0_dB, vec_BER, 'o', 'MarkerSize', 6 ); 141 | hold on; 142 | semilogy( vec_EbN0_dB, vec_TheorBER, '-' ); 143 | title( 'BER versus E_{b}/N_{0}' ); 144 | xlabel( 'E_{b}/N_{0}' ); 145 | xlim( [ 0, 20 ] ); 146 | ylabel( 'BER' ); 147 | ylim( [ 1e-6, 1e-1 ] ); 148 | 149 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. 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But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | 2 | # OCDM-Basics 3 | 4 | This repository holds the basic Orthogonal Chirp-Division Multiplexing (OCDM) models and principles for communication and radar systems for public access. The platform will mainly based on MATLAB and other sources, such as, Python and C/C++, will be added in the future release or other repositories. Here, different simulation and experiment data will be included for illustrating how OCDM works and performs. 5 | 6 | 7 | # Structure 8 | 9 | - lib 10 | - Example 11 | - Simulation 12 | - Experiment 13 | - Project 14 | 15 | 16 | 17 | -------------------------------------------------------------------------------- /lib/FastDFnT.m: -------------------------------------------------------------------------------- 1 | function outSignal = FastDFnT( inSignal, num_Spl ) 2 | %FASTDFNT Summary of this function goes here 3 | % Functions - FastDFnT: 4 | % Fast Discrete Fresnel Transform (DFnT) using fast Fourier transform (FFT) algorithm 5 | % ======================================================================= 6 | % Version: 1.00.01 7 | % Date: 26 Junuary, 2018 8 | % Author: Xing Ouyang (XOyLAB) 9 | % ======================================================================= 10 | % function [ output_Signal ] = FastDFnT( input_Signal, num_pnt ) 11 | % ----------------------------------------------------------------------- 12 | % Input Parameters: 13 | % input_Signal: 14 | % Input signal for DFnT. 15 | % num_pnt: 16 | % Number of points of DFnT. 17 | % ----------------------------------------------------------------------- 18 | % Output Parameters: 19 | % output_Signal: 20 | % Output signal after DFnT. 21 | % ======================================================================= 22 | 23 | num_Row = size( inSignal, 1 ); 24 | num_Col = size( inSignal, 2 ); 25 | 26 | if nargin <= 1 27 | num_Spl = num_Row; 28 | end 29 | 30 | if num_Spl >= 1 31 | 32 | if num_Spl == num_Row 33 | temp_Signal = inSignal; 34 | elseif num_Spl > num_Row 35 | temp_Signal = zeros( num_Spl, num_Col, 'like', inSignal ); 36 | temp_Signal( 1 : num_Row, : ) = inSignal; 37 | else 38 | temp_Signal = inSignal( 1 : num_Spl, : ); 39 | str_Warning_Msg = strcat( mfilename, ': num_pnt is smaller than the number of rows of the input_signal' ); 40 | warning( str_Warning_Msg ); 41 | end 42 | 43 | chirp_Index = ( 0 : num_Spl - 1 ).'; 44 | if mod( num_Spl, 2 ) == 0 45 | theta_Coeff = sqrt( 1 / num_Spl ) * exp( -1i * pi / 4 ); 46 | theta_1 = exp( 1i * pi * chirp_Index.^2 / num_Spl ); 47 | theta_2 = exp( 1i * pi * chirp_Index.^2 / num_Spl ); 48 | else 49 | theta_Coeff = sqrt( 1 / num_Spl ) * exp( -1i * pi * ( 1 - 1 / num_Spl ) / 4 ); 50 | theta_1 = exp( 1i * pi * chirp_Index .* ( chirp_Index + 1 ) / num_Spl ); 51 | theta_2 = exp( 1i * pi * chirp_Index .* ( chirp_Index - 1 ) / num_Spl ); 52 | end 53 | 54 | temp_Signal = repmat( theta_2, 1, num_Col ) .* temp_Signal; 55 | temp_Signal = fft( temp_Signal ); 56 | temp_Signal = repmat( theta_1, 1, num_Col ) .* temp_Signal; 57 | 58 | outSignal = theta_Coeff * temp_Signal; 59 | 60 | else 61 | error( 'Error: DFnT length must be a positive integer scalar.' ); 62 | end 63 | 64 | end 65 | 66 | 67 | %% Notes: 68 | % ======================================================================= 69 | % version 1.00.01 70 | % ----------------------------------------------------------------------- 71 | % Change on number of input arguments similar to fft/ifft. If num_pnt is 72 | % omitted, it will be the number of rows of the input signal. 73 | 74 | 75 | 76 | 77 | -------------------------------------------------------------------------------- /lib/FastInvDFnT.m: -------------------------------------------------------------------------------- 1 | function outSignal = FastInvDFnT( inSignal, num_Spl ) 2 | % ======================================================================= 3 | % Functions - FastInvDFnT: 4 | % Fast Inverse Discrete Fresnel Transform (DFnT) using fast Fourier transform (FFT) algorithm 5 | % ----------------------------------------------------------------------- 6 | % Version: 1.00.01 7 | % Date: 26 Junuary, 2018 8 | % Author: Xing Ouyang (XOyLAB) 9 | % ======================================================================= 10 | % function [ output_Signal ] = FastInvDFnT( input_Signal, num_pnt ) 11 | % ----------------------------------------------------------------------- 12 | % Input Parameters: 13 | % input_Signal: 14 | % Input signal for Inverse DFnT. 15 | % num_pnt: 16 | % Number of points of Inverse DFnT. 17 | % ----------------------------------------------------------------------- 18 | % Output Parameters: 19 | % output_Signal: 20 | % Output signal after Inverse DFnT. 21 | % ======================================================================= 22 | 23 | num_Row = size( inSignal, 1 ); 24 | num_Col = size( inSignal, 2 ); 25 | 26 | if nargin <= 1 27 | num_Spl = num_Row; 28 | end 29 | 30 | if num_Spl >= 1 31 | 32 | if num_Spl == num_Row 33 | temp_Signal = inSignal; 34 | elseif num_Spl > num_Row 35 | temp_Signal = zeros( num_Spl, num_Col ); 36 | temp_Signal( 1 : num_Row, : ) = inSignal; 37 | else 38 | str_Warning_Msg = strcat( mfilename, ': num_pnt is smaller than the number of rows of the input_signal' ); 39 | warning( str_Warning_Msg ); 40 | temp_Signal = inSignal( 1 : num_Spl, : ); 41 | end 42 | 43 | chirp_Index = ( 0 : num_Spl - 1 ).'; 44 | if mod( num_Spl, 2 ) == 0 45 | theta_Coeff = sqrt( num_Spl ) * exp( 1i * pi / 4 ); 46 | theta_1 = exp( -1i * pi * chirp_Index.^2 / num_Spl ); 47 | theta_2 = exp( -1i * pi * chirp_Index.^2 / num_Spl ); 48 | else 49 | theta_Coeff = sqrt( num_Spl ) * exp( 1i * pi * ( 1 - 1 / num_Spl ) / 4 ); 50 | theta_1 = exp( -1i * pi * chirp_Index .* ( chirp_Index - 1 ) / num_Spl ); 51 | theta_2 = exp( -1i * pi * chirp_Index .* ( chirp_Index + 1 ) / num_Spl ); 52 | end 53 | 54 | temp_Signal = repmat( theta_2, 1, num_Col ) .* temp_Signal; 55 | temp_Signal = ifft( temp_Signal ); 56 | temp_Signal = repmat( theta_1, 1, num_Col ) .* temp_Signal; 57 | 58 | outSignal = theta_Coeff * temp_Signal; 59 | 60 | else 61 | error( 'Error: IDFnT length must be a positive integer scalar.' ); 62 | end 63 | 64 | end 65 | 66 | 67 | %% Notes: 68 | % ======================================================================= 69 | % version 1.00.01 70 | % ----------------------------------------------------------------------- 71 | % Change on number of input arguments similar to fft/ifft. If num_pnt is 72 | % omitted, it will be the number of rows of the input signal. 73 | 74 | 75 | 76 | 77 | -------------------------------------------------------------------------------- /lib/xOCDMModem_RX.m: -------------------------------------------------------------------------------- 1 | function r_ModemSymbol = xOCDMModem_RX(r_ModemSignal, OCDMModem_PARAM, OCDMChEst_PARAM ) 2 | % ======================================================================= 3 | % $xOCDMModem_RX: OCDM baseband demodulator 4 | % ----------------------------------------------------------------------- 5 | % $Version: 1.00.00.000 6 | % $Date: 2023-04-10 7 | % $Author(s): Xing Ouyang (ChirpComm) 8 | % ----------------------------------------------------------------------- 9 | % Description: 10 | % This function is used for OCDM baseband demodulation 11 | % Usage/Examples: 12 | % 13 | % ======================================================================= 14 | % Input Argument(s): 15 | % - t_ModemSymbol: (Type) 16 | % Symbols (PAM, QAM, etc.) that are used for modulation 17 | % - OCDMModem_PARAM: (Type) 18 | % OCDM modem parameters 19 | % ----------------------------------------------------------------------- 20 | % Output Argument(s): 21 | % - t_OCDMSignal: (Type) 22 | % OCDM signals after modulation 23 | % ======================================================================= 24 | % Usage & Examples: 25 | % 26 | % ======================================================================= 27 | 28 | 29 | % Initialize parameters 30 | num_GrdIntv = OCDMModem_PARAM.Num_GrdIntv; 31 | num_Symbol = OCDMModem_PARAM.Num_Symbol; 32 | num_Chirp = OCDMModem_PARAM.Num_Chirp; 33 | num_Block = OCDMModem_PARAM.Num_Block; 34 | % Channel Equalization 35 | if nargin < 3 36 | mode_ChEQU = 0; 37 | ChEQU_Tap = ones( num_Chirp, 1 ); 38 | else 39 | ChFreqResp = OCDMChEst_PARAM.CFR; 40 | mode_ChEQU = OCDMChEst_PARAM.EQUMode; 41 | switch mode_ChEQU 42 | 43 | case 0 44 | % No EQU 45 | 46 | case 1 47 | % Zero-forcing (ZF) Equalization 48 | ChEQU_Tap = 1 ./ ChFreqResp; 49 | 50 | case 2 51 | % Minumum Mean Square Error (MMSE/Wiener) Equalization 52 | num_SNR = OCDMChEst_PARAM.SNR; 53 | ChEQU_Tap = conj( ChFreqResp ) ./ ( abs( ChFreqResp ).^2 + num_SNR.^-1 ); 54 | 55 | otherwise 56 | 57 | 58 | end 59 | 60 | 61 | end 62 | 63 | 64 | % Implement demodulation 65 | r_OCDMSignal_GI = reshape( r_ModemSignal, num_Chirp + num_GrdIntv, num_Block ); 66 | r_OCDMSignal = r_OCDMSignal_GI( num_GrdIntv + 1 : num_GrdIntv + num_Chirp, : ); 67 | 68 | % Equalization 69 | phaseSeq_Gamma = exp( -1i * pi * ( 0 : num_Chirp - 1 ).^2 ./ num_Chirp ).'; 70 | r_OCDMSymbol = sqrt( 1 / num_Chirp ) .* fft( r_OCDMSignal, num_Chirp ); 71 | r_OCDMSymbol = phaseSeq_Gamma .* r_OCDMSymbol; 72 | r_OCDMSymbol = ChEQU_Tap .* r_OCDMSymbol; 73 | r_OCDMSymbol_EQU = sqrt( num_Chirp ) .* ifft( r_OCDMSymbol, num_Chirp ); 74 | 75 | r_ModemSymbol = r_OCDMSymbol_EQU( : ); 76 | 77 | 78 | end 79 | 80 | -------------------------------------------------------------------------------- /lib/xOCDMModem_TX.m: -------------------------------------------------------------------------------- 1 | function t_OCDMSignal = xOCDMModem_TX( t_ModemSymbol, OCDMModem_PARAM ) 2 | % ======================================================================= 3 | % $xOCDMModem_TX: OCDM baseband modulator 4 | % ----------------------------------------------------------------------- 5 | % $Version: 1.00.00.000 6 | % $Date: 2023-04-10 7 | % $Author(s): Xing Ouyang (ChirpComm) 8 | % ----------------------------------------------------------------------- 9 | % Description: 10 | % This function is used for OCDM baseband modulation 11 | % Usage/Examples: 12 | % 13 | % ======================================================================= 14 | % Input Argument(s): 15 | % - t_ModemSymbol: (Type) 16 | % Symbols (PAM, QAM, etc.) that are used for modulation 17 | % - OCDMModem_PARAM: (Type) 18 | % OCDM modem parameters 19 | % ----------------------------------------------------------------------- 20 | % Output Argument(s): 21 | % - t_OCDMSignal: (Type) 22 | % OCDM signals after modulation 23 | % ======================================================================= 24 | % Usage & Examples: 25 | % 26 | % ======================================================================= 27 | 28 | 29 | % Initialize parameters 30 | num_GrdIntv = OCDMModem_PARAM.Num_GrdIntv; 31 | num_Symbol = OCDMModem_PARAM.Num_Symbol; 32 | num_Chirp = OCDMModem_PARAM.Num_Chirp; 33 | num_Block = OCDMModem_PARAM.Num_Block; 34 | 35 | % Implement modulation 36 | t_OCDMSymbol = reshape( t_ModemSymbol, num_Symbol, num_Block ); 37 | t_OCDMSignal = FastInvDFnT( t_OCDMSymbol, num_Chirp ); 38 | t_OCDMSignal_GI = [ 39 | t_OCDMSignal( num_Chirp - num_GrdIntv + 1 : num_Chirp, : ) 40 | t_OCDMSignal 41 | ]; 42 | t_OCDMSignal = t_OCDMSignal_GI( : ); 43 | 44 | 45 | end 46 | 47 | --------------------------------------------------------------------------------