Binary Fsk Error Probability
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Krishna Sankar on August 30, 2007 Following the request by Siti Naimah, this post discuss the bit error probability for coherent demodulation of binary Frequency Shift Keying (BFSK) along with a small Matlab code snippet. probability of error for non-coherent fsk Using the definition provided in Sec 4.4.4 of [DIG-COMM-SKLAR]), in binary Frequency shift keying probability error ask psk fsk (BFSK), the bits 0′s and 1′s are represented by signals and having frequencies and respectively, i.e. , where is the energy
Binary Fsk Modulation
, is the symbol duration and is an arbitrary phase (assume to be zero). The two frequencies and are orthogonal, i.e. and . Simple transmit-receive block diagram for binary frequency shift keying (FSK) can be as
Fsk Wiki
shown below. Figure: Block diagram of FSK modulation and coherent demodulation For analyzing the bit error rate with coherent FSK demodulation, let us compare the signaling waveform used by binary FSK when compared with binary PSK. The distance between the energy of the signaling waveform for: (a) binary phase shift keying (BPSK) is (uses antipodal signaling) (b) binary frequency shift keying (BFSK) is (uses orthogonal signaling) Figure: Orthogonal and antipodal signaling probability of error in fsk Using similar mathematical formulation used for BPSK, but with the distance between the signals reduced by half, the bit error probability for coherent binary frequency shift keying is . For obtaining the same bit error rate as BPSK, binary frequency shift keying requires around 3dB more . More details on the bit error curves with orthogonal and antipodal signals is discussed in Sec 3.2.5 of [DIG-COMM-SKLAR]. Simulation Model Simple Matlab/Octave script for computing the bit error rate with FSK modulation. The code performs the following: (a) Generation of random 1′s and 0′s (b) Converting bits to appropriate frequency (c) Passing through Additive White Gaussian Noise channel (d) Demodulation at the receiver (e) Counting the number of errors. Click here to download Matlab/Octave script for computing Bit Error Rate with FSK modulation Figure: Bit error probability with coherent demodulation of frequency shift keying Hope this helps Krishna Reference [DIG-COMM-SKLAR] Digital Communications: Fundamentals and Applications (2nd Edition), Bernard Sklar Please click here to SUBSCRIBE to newsletter and download the FREE e-Book on probability of error in AWGN. Thanks for visiting! Happy learning. Related posts: Simulating Minimum Shift Keying Transmitter Coherent demodulation of DBPSK Bit Error Rate (BER) for BPSK modulation MSK transmitter and receiver Tagged as: FSK D id you like this article? Make sure
feedback return to old SpringerLink International Journal of Wireless Information NetworksApril 1999, Volume 6, Issue 2, pp 107–118Error Probability of FSK Incoherent
Probability Of Error For Noncoherent Fsk
Diversity Reception with Fast Rice FadingAuthorsG. M. VitettaU. MengaliD. P. TaylorArticleDOI: 10.1023/A:1018891619167Cite this article as: Vitetta, fsk bit error rate G.M., Mengali, U. & Taylor, D.P. International Journal of Wireless Information Networks (1999) 6: 107. doi:10.1023/A:1018891619167 2 Citations coherent and noncoherent fsk 162 Views AbstractIn this paper we compute the error performanceof noncoherent detection receivers for FSK signalstransmitted over fast frequency-flat Rician fadingchannels. Linearly time-varying fading models are used to http://www.dsplog.com/2007/08/30/bit-error-rate-for-frequency-shift-keying-with-coherent-demodulation/ derive closed-form expressions for the errorprobability of binary FSK signaling. Error bounds areestablished for the performance of M-ary orthogonal FSK.Simulation results are in excellent agreement with analytical predictions.FREQUENCY SHIFT KEYINGNONCOHERENT DETECTIONFADING CHANNELSREFERENCES1.G. L. Turin, Error probabilities for binary symmetric ideal reception through nonselective slow fading and noise, Proc. IRE, Vol. 46, Sept. 1958, pp. 1603–1619.2.G. L. Turin, On http://link.springer.com/article/10.1023/A:1018891619167 optimal diversity reception, IRE Trans. Commun. Syst., Vol. 10, Mar. 1962, pp. 22–31.3.J. N. Pierce, Theoretical diversity improvement in frequency-shif t keying, Proc. IRE, Vol. 46, May 1958, pp. 903–910.4.J. N. Pierce and S. Stein, Multiple diversity with nonindependent fading, Proc. IRE, Vol. 48, Jan. 1960, pp. 89–104.5.P. M. Hahn, Theoretical diversity improvement in multiple frequency shift keying, IRE Trans. Commun. Systems, Vol. 10, June 1962, pp. 177–184.6.W. D. Lindsey, Error probability for Rician fading multichannel reception of binary and N-ary signals, IEEE Trans. Inf. Theory, Vol. 10, Oct. 1964, pp. 339–350.7.W. D. Lindsey, Error probability for incoherent diversity reception, IEEE Trans. Inf. Theory, Vol. 11, Oct. 1965, pp. 491–499.8.P. A. Bello and B. D. Nelin, The influence of fading spectrum on the binary error probabilities of incoherent and differentially coherent matched filter receivers, IRE Trans. Commun. Systems, Vol. 10, June 1962, pp. 160–168.9.P. A. Bello, Characterization of randomly time-variant linear channels, IEEE Trans. Commun. Systems, Vol. 9, Dec. 1963, pp. 360–393.10.G. M. Vitetta, U. Mengali, and D. P. Taylor, Optimal n
Ontario, Canada Il-Min Kim Department of Electrical and Computer Engineering, Queen's University, Kingston, Ontario, Canada Published in: ·Journal IEEE Transactions on Communications archive Volume 57 Issue http://dl.acm.org/citation.cfm?id=1651127 8, August 2009 Pages 2244-2250 Institute of Electrical and Electronics Engineers Inc., The tableofcontents doi>10.1109/TCOMM.2009.07.070510 2009 Article Bibliometrics ·Downloads (6 Weeks): n/a ·Downloads (12 Months): n/a ·Downloads (cumulative): n/a ·Citation Count: 1 Recent authors with related interests Concepts in this article powered by Concepts inError probabilities of noncoherent and coherent FSK in the presence of frequency and phase offsets probability of for two-hop relay networks Frequency-shift keying Frequency-shift keying (FSK) is a frequency modulation scheme in which digital information is transmitted through discrete frequency changes of a carrier wave. The simplest FSK is binary FSK (BFSK). BFSK uses a pair of discrete frequencies to transmit binary (0s and 1s) information. With this scheme, the "1" is called the mark frequency and the probability of error "0" is called the space frequency. The time domain of an FSK modulated carrier is illustrated in the figures to the right. morefromWikipedia Phase (waves) Phase in sinusoidal functions or in waves has two different, but closely related meanings. One is the initial angle of a sinusoidal function at its origin and is sometimes called phase offset. Another usage is the fraction of the wave cycle which has elapsed relative to the origin. morefromWikipedia Frequency Frequency is the number of occurrences of a repeating event per unit time. It is also referred to as temporal frequency. The period is the duration of one cycle in a repeating event, so the period is the reciprocal of the frequency. For example, if a newborn baby's heart beats at a frequency of 120 times a minute, its period (the interval between beats) is half a second. morefromWikipedia Probability of error In statistics, the term "error" arises in two ways. Firstly, it arises in the context of decision making, where the probability of error may be considered as being the probability of making a wrong decision
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