Probability Error Of Bpsk
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In this post, we will derive the theoretical equation for bit error rate (BER) with Binary Phase Shift Keying (BPSK) modulation scheme in Additive White Gaussian Noise (AWGN) channel. The BER probability of error in qpsk results obtained using Matlab/Octave simulation scripts show good agreement with the derived theoretical results.
Bpsk Probability Of Error Derivation
With Binary Phase Shift Keying (BPSK), the binary digits 1 and 0 maybe represented by the analog levels and respectively. The system bit-error-probability-for-bpsk-modulation model is as shown in the Figure below. Figure: Simplified block diagram with BPSK transmitter-receiver Channel Model The transmitted waveform gets corrupted by noise , typically referred to as Additive White Gaussian Noise (AWGN). Additive
Probability Of Error For Bpsk And Qpsk
: As the noise gets ‘added' (and not multiplied) to the received signal White : The spectrum of the noise if flat for all frequencies. Gaussian : The values of the noise follows the Gaussian probability distribution function, with and . Computing the probability of error Using the derivation provided in Section 5.2.1 of [COMM-PROAKIS] as reference: The received signal, when bit 1 is transmitted and when bit 0 is bit error rate for qpsk matlab code transmitted. The conditional probability distribution function (PDF) of for the two cases are: . Figure: Conditional probability density function with BPSK modulation Assuming that and are equally probable i.e. , the threshold 0 forms the optimal decision boundary. if the received signal is is greater than 0, then the receiver assumes was transmitted. if the received signal is is less than or equal to 0, then the receiver assumes was transmitted. i.e. and . Probability of error given was transmitted With this threshold, the probability of error given is transmitted is (the area in blue region): , where, isĀ the complementary error function. Probability of error given was transmitted Similarly the probability of error given is transmitted is (the area in green region): . Total probability of bit error . Given that we assumed that and are equally probable i.e. , the bit error probability is, . Simulation model Matlab/Octave source code for computing the bit error rate with BPSK modulation from theory and simulation. The code performs the following: (a) Generation of random BPSK modulated symbols +1′s and -1′s (b) Passing them through Additive White Gaussian Noise channel (c) Demodulation of the received symbol based on the location in the constellation (d) Counting the number of errors (e)
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Ber Of Bpsk In Awgn Channel Matlab Code
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Bpsk Bit Error Rate Matlab Code
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Aerospace Bioengineering Communication, Networking & Broadcasting Components, Circuits, Devices & Systems Computing & Processing Engineered Materials, Dielectrics & Plasmas Engineering Profession Fields, Waves http://ieeexplore.ieee.org/iel5/26/22393/01044597.pdf & Electromagnetics General Topics for Engineers Geoscience Nuclear Engineering Photonics & Electro-Optics Power, Energy, & Industry Applications Robotics & Control Systems Signal Processing & Analysis Transportation Browse Books & eBooks Conference Publications Courses Journals & Magazines Standards By Topic My Settings Content Alerts My Projects Search Alerts Preferences Purchase History Search History What can probability of I access? Get Help About IEEE Xplore Feedback Technical Support Resources and Help Terms of Use What Can I Access? Subscribe Enter Search Term First Name / Given Name Family Name / Last Name / Surname Publication Title Volume Issue Start Page Search Basic Search Author Search Publication Search Advanced Search Other Search Options Command probability of error Search Citation Search Search Alerts Search History Sign In Username: Password: Forgot password Other Authentication Options Create an IEEE Account Don't have an IEEE Accountyet? Register now for a free account in order to: Sign in to various IEEE sites with a single account Manage your membership Get member discounts Personalize your experience Manage your profile and order history Personal Sign In Create Account IEEE Account Change Username/Password Update Address Purchase Details Payment Options Order History View Purchased Documents Profile Information Communications Preferences Profession and Education Technical Interests Need Help? US & Canada: +1 800 678 4333 Worldwide: +1 732 981 0060 Contact & Support About IEEE Xplore Contact Us Help Terms of Use Nondiscrimination Policy Sitemap Privacy & Opting Out of Cookies A not-for-profit organization, IEEE is the world's largest technical professional organization dedicated to advancing technology for the benefit of humanity.© Copyright 2016 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.