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Ofdm equalization matlab code

51 Cho, Y, Kim, J, Yang, W, Kang, C. Without seeing your code and without knowing what "funky" means, I would check for: when you do the convolution, scale the result by $\Delta t$, the time differential; make sure the FFT scaling that Matlab performs is not throwing you off Hi, What is the performance difference of MMSE equalizer and ZF equalizer in a OFDM system. What is @Kartik: Extending the Matlab code to an nRx x nTx case involves modification to the equalizer. Thanks I am looking for (OFDM Based) PLC matlab coded script for doing resource allocation in order to maximize the data rate under harsh environment of PL? Refer CDMA MATLAB Code for single user. The 16-QAM with OFDM enables 4 bits/symbol and provides a higher data rate than QPSK hence it is chosen in this paper. . Section II describes the basic MIMO-OFDM system model. The OFDM modulator enables you to specify the subcarrier indices for the pilot signals. I am able to use the classical LMS and RLS algorithms using a Decision feedback equalizer object. Hi,Could any one help me to provide me the code to generate OFDM With QPSK, And to reduce PAPR reduction analysis. Reply OFDM. Second, communication AE tains a basic OFDM receiver and a separated channel equalizer. 11b/11g, UWB channel model as per 802. MATLAB and Communications System Toolbox are ideal for LTE algorithm and system design MATLAB and Simulink provide an environment for dynamic & large scale simulations Accelerate simulation with a variety of options in MATLAB Connect system design to implementation with – C and HDL code generation – Hardware-in-the-loop verification We propose a novel low-complexity artificial neural network (ANN)-based nonlinear equalizer (NLE) for coherent optical orthogonal frequency-division multiplexing (CO-OFDM) and compare it with the recent inverse Volterra-series transfer function (IVSTF)-based NLE over up to 1000 km of uncompensated links. (considering we use BPSK) ——-CP —— 1)We have 64 sub-carriers but we have Null in some sub-carriers too. This page of MATLAB source code covers channel estimation and channel equalization for OFDM based system. The least squares estimates of the channel frequency response at the pilot symbols are calculated as described in On Channel Estimation in OFDM Systems. SC-FDMA basic transmitter receiver. It is usually designed such that the subcarrier bandwidth is smaller than the channel coherence bandwidth. This time domain data is passed to the channel and AWGN. I know my ofdm is baseband signal, and i think it's ok with my code. 2. Jul 8, 2011 need for the frequency domain equalizer in the OFDM receiver ( Frequency In order to do a Monte Carlo simulation of an OFDM system, required . In recent years, Orthogonal Frequency Division Multiplexing (OFDM) has been successfully used in terrestrial digital video broadcasting and showed it is a strong candidate for the modulation technique of future wireless systems. If you're not already familiar with the basics of OFDM please start with one of the many good OFDM tutorials available online. Code. But now i have got a problem when i wrote a matlab code to simulate the BER performance of a trellis coded OFDM ( OFDM with trellis coded Modulation) and i can’t get a proper result . IEEE 802. %% OFDM Simulation in MATLAB % This simulation code is based on "Jordan Street's" OFDM simulation channel estimation equalization least square lms mimo ofdm Understanding an OFDM transmission system which uses frequency domain equalization. In theory, all you'd need to do is add Gaussian noise of the appropriate variance. Reference: [1] IEEE 802. I have simulation 3 tap Rayleigh channel for QPSK ODFM system and found out that both the equalizers give the same performance. • Generating Spatial multiplexing using ZF and MMSE equalization. MATLAB® Fundamentals and knowledge of digital communications systems. 4 standard specifications. must be pilot data,only in this way can every data be equalization ,does it? 2. Reply Dco ofdm matlab code Search and download Dco ofdm matlab code open source project / source codes from CodeForge. BER/FER performance of the propo Dco ofdm matlab code Search and download Dco ofdm matlab code open source project / source codes from CodeForge. com/watch?v=SyKJrrNhPO8'. The focus of the study is the implementation of Zero Forcing and MMSE equalization techniques in order to reduce the interference mitigation. BER of OFDM in Rayleigh channel using in-built rayleighchan function and frequency domain equalization Designing OFDM with MATLAB Course Highlights Orthogonal frequency-division multiplexing (OFDM), as one of most important innovations in the history of communication, is an efficient multicarrier modulation scheme which provides high data rates and excellent capability to suppress multipath fading. I have attached the paper i'm trying to implement, with the matlab code and some Some basics regarding OFDM transciever, channel estimation and MMSE . like to get in matlab(. WiMAX OFDM Basics. com sharpening, equalization algorithm The OFDM signal as a whole is affected by frequency selective filtering. The rest of the paper is organised as simulation model of MIMO-OFDM transceiver model in section 2, simulation results in section 3, future scope and conclusion in section 4 and 5. With two receive antenna’s the system can be modeled as shown in the figure below. This page covers modulation or mapping of binary data based on modulation type bpsk,qpsk,16qam and 64qam. Maybe i was wrong about the power thing but i see now in your code: Ep = 2; % energy in pilot symbols in comparison to energy in data symbols. Demonstrating the role of Cyclic Prefix. The frame is OFDM modulated, passed through an Extended Vehicular A Model (EVA5) fading channel, additive white Gaussian noise added and demodulated. noiseest is an estimate of the received noise power spectral density. I dont remember what i meant by different power on data and pilots nor the details of your code. From the process of this development, the mechanism of an OFDM system can be studied; and with a completed MATLAB In OFDM communications, please could you tell me how to make a time domain equalization? I'm not familiar with these methods and need to code one of them by matlab for my OFDM link This example describes a MATLAB® implementation of OFDM synchronization, based upon the IEEE 802. [out,csi] = lteEqualizeMMSE(rxgrid,channelest,noiseest) returns equalized data in multidimensional array, out. OFDM Baseband Receiver Design for Wireless Hi everyone, I am doing my thesis on channel equalization. 271 Getting Started with MATLAB and Simulink. in I design OFDM, after i add CP, i want to give pulse shaping, or window filter (like hamming, hanning, blackman), but the output seems wrong, the main lobe attenuate as sidelobe. 11a standard describes the transmission of an OFDM modulated signal for information exchange between systems in local and metropolitan area networks. . ) matlab code for ofdm qpsk Are you all familiar with a website called www. Introduction • OFDM is a promising candidate for achieving high data rate transmission in mobile environment. mimo-ofdm is a key technology for next-generation cellular communications (3GPP-LTE, Mobile WiMAX, IMT-Advanced) as well as wireless LAN (IEEE 802. HISTOGRAM EQUALIZATION OF AN IMAGE WITHOUT USING IN BUILT FUNCTION. This yields you frequency flat fading for each subcarrier which can be described by a single complex multiplication and equalization can equally done with just one tap. Issues 0. frequency domain equalization(fde) ofdm system 1. Check this book for full Matlab code: Wireless Communication Systems  this is John BG jgb2012@sky. The ifft size is 64 . %% OFDM Simulation in MATLAB % This simulation code is based on "Jordan Street's" OFDM simulation channel estimation equalization least square lms mimo ofdm In OFDM links, do we need frequency-domain equalization(FDE), after FFT block of the receiver? In books, it seems that FDE is need if we have a TEQ (channel shortening time domain equalizer) as was studied by Al-Dhahir, etc. Literature Survey Orthogonal Frequency Division Multiplexing (OFDM)-Applications for Wireless Communications with Coding 1. The cost function of the CMA is build blindly, it means MIMO-OFDM systems. if you can help me please do it Blind source separation for Text images matlab code (0) matlab code of MMSE equalization in ofdm (2) hi, i want LMS and blind algorithms cdma reciever matlab code. Idin's pick this week is "Pilot Directed Continuous Synchronization of OFDM" by Dick Benson. It plots the constellation diagram for the same. Introduction. 11a standard [ 3]. Following the  The following matlab project contains the source code and matlab examples used for Ofdm ber vs snr in frequency selective rayleigh fading channel in matlab hi all, Generally i have coded my OFDM system, but i have some problem for, hence i cant code in matlab Г=E[||X||]^2 G= [Г^0. Including Packages ===== * Base Paper * Complete Source Code * Complete Documentation * Complete Presentation Slides * Flow Diagram * Database File * Screenshots * Execution Procedure * Readme Hi, What is the performance difference of MMSE equalizer and ZF equalizer in a OFDM system. With TEQ, there will be phase errors, and I think that FDE can restore the phase. The simple frequency domain equalizer shown in equation 6 is possible only if the channel performs circular convolution. (That is not to say that there's absolutely no room for time-domain equalization in OFDM systems, but it's going to be extremely specific corner cases. OFDM has developed into a popular scheme for wideband digital communication, used in applications such as digital television and audio broadcasting, DSL internet access, wireless networks, power line networks, and 4G mobile communications. This objective is met by developing a MATLAB program to simulate a basic OFDM system. Refer SC-FDMA matlab simulation code. channel equalization. MIMO‐OFDM Wireless Communications with MATLAB. This code basically computes the BER of an OFDM system. T is unit code duration. 11 specification – “Orthogonal frequency division multiplexing (OFDM) PHY specification for the 5 GHz band” – chapter 17. In this paper we simulate how the performance of Coded 16-QAM OFDM is enhanced using equalization to Performance analysis of MMSE equalization technique for MIMO systems in wireless communication In this project MMSE equalization technique is applied on the MIMO- OFDM system and the system Code matlab for mimo ofdm COMMUNICATION WITH MATLAB. In this paper, a detailed study on MIMO-OFDM system with equalization technique for the elimination of ICI has been carried out. are written to develop this MATLAB program of OFDM simulation. (1) Introduction to OFDM – Orthogonal Frequency Division Multiplexing (2) An OFDM Communication System – Implementation Details (3) Simulation of OFDM system in Matlab – BER Vs Eb/N0 for OFDM in AWGN channel. Channel Equalization Matlab Code The following matlab project contains the source code and matlab examples used for channel equalization. I tried to find some matlab codes on carrier recovery, but no matlab codes are Hello, I am curently doing a project on 4 generation wireless communication and I am using LMS algorithm for adaptive beamforming for the signal in communication. Contribute to AERC18/OFDM_MATLAB development by creating an account on GitHub. 16e standard, JTC channel model as per 802. please send it. e. I got the matlab code for turbo code as well as ofdm but not able to simulate the turbo coded ofdm. DOWNLOAD CHANNEL MODEL MATLAB CODES. Day 1 of 2. involve histogram equalization, This MATLAB function performs OFDM demodulation on the input time domain signal specified in ofdmSig, using an FFT size specified by nfft and cyclic prefix length specified by cplen. This section of MATLAB source code covers BPSK,QPSK,16QAM and 64QAM modulation or data mapping matlab code. Does anyone out there has a sample code? Kindly assist. The computational complexity of each equalization structure grows with the length of the channel time dispersion. In the OFDM I studied, DVB-T, the cyclic prefix is not used to calculate BER, just to sync. 16. Thank you in advance Lealem. Books on OFDM First of all, you do not have the AWGN channel being used inside the loop, second, you have to prepare your data as yF1 only must be used for data recovery, where yF2 must be discarded. a study on freqeency domain equalization for ofdm system to gain high transmision efficency watanabe・fujii・hatano lab chamara sasanka salgado Ofdm Matlab Code Orthogonal frequency-division multiplexing (OFDM) is a method of encoding digital data on multiple carrier frequencies. WiMAX simulink source code is also provided. Serial to parallel and parallel to serial conversion shown in the above figure was not required as the simulation was done symbol by symbol (one OFDM symbol in the time domain represented 128 BPSK symbols in the frequency domain). The principle of space time block coding with 2 transmit antenna and one receive antenna is explained in the post on Alamouti STBC. Full Matlab Code available at Simulation of Digital Communication Systems using Matlab – an ebook by Mathuranathan Viswanathan . fbmc ofdm matlab wireless-communication oqam multipath time-varying signal-processing modulation-techniques channel-equalization MATLAB Updated Jul 2, 2018 MeowLucian / SDR_Matlab_OFDM_802. The linear convolution can be converted into circular convolution by adding Cyclic Prefix (CP) in the OFDM architecture. Please try to help me by sending a Matlab code to simulate OFDM with TCM. (27 votes, average: 4. 11a_16QAM Thank you! for ur help . The implementation of OFDM is done using Inverse Fast Fourier Transform (IFFT) and the Fast Fourier Transform (FFT). OFDM has developed into a popular scheme for wideband digital communication, whether wireless or over copper wires, used in applications such as digital television and audio broadcasting, DSL Internet access Histogram equalization involves transforming the intensity values so that the histogram of the output image approximately matches a specified histogram. MMSE equalization using channel and noise estimation is applied and finally the received and equalized resource grids are plotted. 3 Channel Equalization: chanEQ. - Have a look at  In OFDM transmission, we usually use a Frequency Domain Equalization by . Programming Tech 1,148 views I have a matlab code for OFDM system, in this code the auther added a zero padded subcarriers before the IFFT stage, in the middle of the raws, and added zero padded guard interval after IFFT, my question is that why i need to add zero padded subcarriers and what is the relation between the number of null subcarriers and sampling frequency?? OFDM system and that of an SC system with a FDE was pointed out and FD equalization was proposed as a low-complexity solu-tion to digital terrestrial broadcasting which is characterized by a highly-time-dispersive channel. Orthogonal Frequency Division Multiplexing (OFDM) is a digital multi-carrier modulation scheme that extends the concept of single subcarrier modulation by using multiple subcarriers within the same single channel. 11a, IEEE 802. This section of MATLAB source code covers WiMAX basics and provide WiMAX OFDM MATLAB code. BPSK QPSK 16QAM 64QAM MATLAB source code. b. turbo equalization Based LDPC Coded MIMO OFDM Transmission. An Integrated LP Reciever Based on TE for LDPC Coded MIMO-OFDM The Proposed work tests QPSK and 16QAM for MIMO-OFDM Systems. For a MATLAB implementation of 64-QAM OFDM see the following post (64-QAM OFDM). Considering the Doppler and frequency selectivity characteristics of the channel, use this table as a guide when selecting which equalization structure to use in your simulation. 16-QAM is the modulation Technique and convolution encoding rate 1/2 is used as the coding scheme. com? , where there is a section of File Exchange, where you have Matlab codes for various schemes, shared by the members of the website How To Train Network For Scene Recognition AlexNet Convolutional Neural Network Training In Matlab - Duration: 16:52. or can u give u ur personal email address plz so tht i would contact wid u if i feel some problem during doing the code. The following Matlab project contains the source code and Matlab examples used for histogram equalization without using inbuilt function. This book provides a comprehensive introduction to the basic theory OFDM “Orthogonal Frequency Division Multiplexing” PAPR “Peak to Average Power Ratio” PSK “Phase Shift Keying” PTS “Partial Transmit Sequences” QAM “Quadrature Amplitude Modulation” QPSK “Quadrature Phase Shift Keying” RF “Radio Frequency” SISO “Single Input Single Output SIMO Single Input Multiple Outputs” Matlab code for ofdm channel estimation(pn sequence as cyclic prefix) blocks = 200; %OFDM¿éÊý %ÓëchanestnewÏà±È£¬Êǽ«ÏßÐÔÏà¹Ø¸ÄΪԲÖÜÏà¹Ø %Êá×´µ¼ÆµÓë±¾ÎÄ·½·¨£¨… hello, I'm working in my Graduation Project on MIMO-OFDM Implementation using Matlab i made the following code but i m a little lost , can't figure out what to do next , i generated the data , modulated them , then branched the data into 2 branches to be sent , but i cant figure out how to multiply the channel matrix by the modulated data matrix . Code 9. Construct an OFDM modulator that has two symbols and insert a DC null. You will need to know the basics of OFDM before understanding the Tx and Rx processing in this example. OFDM made its first commercial appearance in wired OFDM system, and investigate how its performance is changed by varying some of its major parameters. The least squares estimates are then averaged to reduce any unwanted The code of QPSK modulation and demodulation technique has been developed according to the theory. Learn more about matlab, fading The equalization process uses K is the number of subcarriers and L is the number of OFDM C/C++ Code Generation Generate C and C++ code using MATLAB I want to plot ber of turbo coded ofdm system. PN sequence generation. This example describes a MATLAB® implementation of OFDM synchronization, based upon the IEEE 802. See also: Download 802. All MIMO-OFDM receivers must perform time synchronization, frequency offset esti-mation, and correction and parameter estimation. 5-3 OFDM performance with or without equalizer . What i want to ask is, whats wrong with my filter design? how to fix it? BER for BPSK in OFDM modultion with a Rayleigh distributed channel of duration lower than the cyclic prefix. Only with a circular convolution, we can use the single-tap equalization OFDM is so famous for. Alamouti STBC with two receive antenna. When there is more than one transmit antenna, ensure that the pilot indices for each symbol differ between antennas. Transmitted packet after passing through the wireless channel or environment will get impaired or corrupted due various impairments over the path. - rnissel/Channel-Equalization-in-FBMC So, whenever you apply an equalizer to an OFDM system: you're either doing something wrong, or the OFDM system was designed incorrectly (i. This has renewed interest in FD equalization as a strong competitor to OFDM and demon- What are the steps to develop ofdm using matlab? I have a matlab code for OFDM system, in this code the auther added a zero padded subcarriers before the IFFT stage, in the middle of the raws The CP isolates different OFDM blocks from each other when the wireless channel contains multiple paths, i. methods and need to code one of them by matlab for my OFDM link transmission. A discrete-time OFDM system will be tested and analysed with the both equalizers. sherbin_kassim@yahoo. hi all, what is the proper way of implementing the ifft in an ofdm using qpsk? i have this qpsk modulation code using Gray coding but when i insert the ifft before the command of adding the noise, and an fft before demodulation, the BER is rising to ~ 0. LaPrint is a MATLAB function to print MATLAB graphics for inclusion in LaTeX documents. 15. com In telecommunications, orthogonal frequency-division multiplexing (OFDM) is a method of encoding digital data on multiple carrier frequencies. For this purpose i am trying to implement the code for the same but i dont know much about matlab simulation. Following are matlab codes for channel models viz. Nov 7, 2018 concern of pollution of the code. 11a WLAN channel model matlab source code files. The following Matlab project contains the source code and Matlab examples used for ofdm ber vs snr in frequency selective rayleigh fading channel. com. A thin MATLAB wrapper for Git. But in Single carrier Frequency Domain Equalization, MMSE performs significantly better than ZF. If we go for higher dimension matrices, we need to change the logic for matrix inversion accordingly. Setting up parameters for modulation Introduction to OFDM - Orthogonal Frequency Division Multiplexing. This page covers basic OFDM transmitter chain viz. matlab code for channel estimation for ofdm Download MATLAB source code freerce-codes Channel Estimation in OFDM Systems Zhibin Wu Yan Liu Xiangpeng Jing OUTLINE OFDM System Introduction Channel Estimation Techniques Performance Evaluation Conclusion OFDM Overview Divides high-speed serial information signal into multiple lower-speed sub-signals: Transmits simultaneously at different frequencies in parallel. Good day colleagues, please can anyone help with the matlab codes for the simulation of the performance of MIMO-OFDM system in a Nakagami q fading channel using different modulation schemes, antenna configuration, and equalization techniques? OFDM MATLAB Code. mathworks. 5  Nov 27, 2015 Attacks against these pilot tones can hamper equalization and The orthogonal frequency division multiplexing (OFDM) modulation and error correction code to reliably yield error‐free OFDM frames for the . Matlab/Octave simulation scripts also provided. Is CMA equalization applicable for OFDM I have a question regarding the constant modulus algorithm (CMA), as you know it's one of the known algorithms used for blind equalization. Matlab code 1. Regards. Communication Using channel coding and decoding: convolutional , LDPC, and turbo codes Introduction to Orthogonal Frequency Division Multiplexing (OFDM). i needthe matlab code for MMSE equalization in ofdm sysetm just to take idea how it works in OFDM ssytem. The application of OFDM to high data rate mobile communication system is being investigated by many researchers. Then, proceed to the comparison between both equalizers. Refer PN sequence generation basics and matlab code. This section of MATLAB source code covers OFDM transmitter and OFDM receiver basic chain coded in matlab. please email me soon as possible. MMSE equalization is applied to the received data resource grid in the matrix, rxgrid, using the channel information in the channelest matrix. The IEEE 802. Learn more about tft-ofdm, ldpc coded ofdm MATLAB. not for the channel that you're having). Berger, Shengli Zhou, and Peter Willett Department of Electrical and Computer Engineering, University of Connecticut, Storrs, CT 06269, USA Abstract—In this paper we propose a block-by-block iterative 6. If u required then i can also post my code also just llet me know. is frequency-selective. binary data source,data mapping,IFFT,CP insertion. Does anyone has any idea on how to go about it or if any code is available for the adaptive beamforming using lms algorithm. 327 . This simulation code is based on "Jordan Street's" OFDM simulation presentation  This code basically computes the BER of an OFDM system. The popular among are OFDM,OFDMA and SC. 11n),wireless PAN (MB-ofdm), and broadcasting (DAB, DVB, DMB). MIMO-OFDM systems are widely being investigated due to higher data rate requirement in wireless communication. 3 and 802. of MIMO-OFDM System Using QOSTBC Code Structure for M-QAM Fading Channel Estimation and Equalization for MIMO-OFDM Systems via Matlab Coding For Equalization In Ofdm Codes and Scripts Downloads Free. please help me to complete the simulation. youtube. Refer OFCDM MATLAB Code housing OFDM and CDMA. % equalization by the known channel frequency response: MATLAB IEEE 2017 PROJECTS. OFCDM MATLAB code consisting of OFDM and CDMA chain for single user. But in nature, all channels perform linear convolution. Figure: 2 Transmit 2 Receive Alamouti STBC The equalization process uses K is the number of subcarriers and L is the number of OFDM C/C++ Code Generation Generate C and C++ code using MATLAB Pilot ofdm channel estimation data must be pilot data,only in this way can every data be equalization ,does it? me a good reference or matlab code about channel estimation in OFDM Dco ofdm matlab code Search and download Dco ofdm matlab code open source project / source codes from CodeForge. The source code and files included in this project are listed in the project files section, please make sure whether the listed source code meet your needs there. The CP turns the linear convolution with the channel into a circular convolution. WiMAX stands for Worldwide Interoperability for Microwave Access. i have to write a matlab code for the same. The problem I face however, is when I try to create create a neural network object. co. Once the acquisition phase is over, matlab code for frequency selective fading. We just  Jul 12, 2019 OFDM Simulation in MATLAB. The indices can be specified for each symbol and transmit antenna. 1. 16- QAM is the modulation Technique and convolution encoding rate 1/2 is used as  This page of MATLAB source code covers channel estimation and channel equalization for OFDM system. m. In modulations, information is mapped on to changes in frequency, phase or amplitude (or a combination of them) of a carrier signal. This is generally carried out using a preamble consisting of one or more training sequences. EQUALIZATION AND CHANNEL ESTIMATION ALGORITHMS AND IMPLEMENTATIONS FOR CELLULAR MIMO-OFDM DOWNLINK Academic dissertation to be presented with the assent of the Doctoral Training Committee of Technology and Natural Sciences of the University of Oulu for public defence in OP-sali (Auditorium L10), Linnanmaa, on 27 June 2012, at 1 p. 52 out of 5) This post is a part of the ebook : Simulation of digital communication systems using Matlab – available in both PDF and EPUB format. Orthogonal frequency-division multiplexing (OFDM) is a bandwidth-efficient scheme to transmit data through wired or wireless communication channels. May 1, 2018 This simulation code is based on "Jordan Street's" OFDM simulation % presentation 'https://www. Iterative Sparse Channel Estimation and Decoding for Underwater MIMO-OFDM Jie Huang, Jianzhong Huang, Christian R. 1)It’s about “Simulation of OFDM system in Matlab – BER Vs Eb/N0 for OFDM in AWGN channel” OK, here is my question. Allows to reproduce all figures from "FBMC-OQAM in Doubly-Selective Channels: A New Perspective on MMSE Equalization", IEEE SPAWC, 2017. 2 – Overview of This OFDM Simulation Project . There are 5 physical layers defined in wimax standard viz. 5. SUI channel model, ITU-T channel model as per wimax 802. In the current code, we have a 2×2 matrix inversion. It’s about finding Es/N0. The code is simulated for a single user. By default, the histogram equalization function, histeq, tries to match a flat histogram with 64 bins, but you can specify a different histogram instead. Mar 3, 2013 Matlab code fading channel with 2 Tx, 2Rx MIMO channel% Zero Forcing equalizationclearN = 10^6; % number of bits or symbolsEb_N0_dB  Finally, simulation results using Matlab are used to compare bit error rate (BER) . This project is concerned with how well OFDM performs when transmitted over an Additive White The channel estimation algorithm extracts the reference signals for a transmit/receive antenna pair from the received grid. One of them is the main program script  Mar 26, 2018 Common OFDM Waveform Structure. m) file. 5 Equalization 138 OFDM Baseband Receiver Design for Wireless Communications Tzi-Dar Chiueh and Pei-Yun Tsai. Channel estimation equalization for OFDM in MATLAB. watanabe・fujii ・hatano lab. The theoretical description of QPSK modulation and demodulation are available in the book of "communication system " by SIMON HAYKIN. ofdm equalization matlab code