Fsk Error
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binary ones and zeros. Error) m ary fsk modulation is computed by comparing the FSK reference signal with the FSK signal measured
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at the symbol locations as follows: Points / Symbols are not used. The FSK Err in the Error Summary Data table is shown as a percentage of probability of error in fsk the deviation. To derive this percentage, the VSA computes the rms average of the FSK error at all symbol locations, divides by the peak deviation and multiplies by 100: where Deviation is the peak deviation of the signal. The peak deviation value is displayed on the Error Summary Data table. The Error Summary Data table shows the rms FSK Error, the peak FSK Error, and the location of the peak FSK Error. 21.00Copyright © 2000-2016 Keysight Technologies, Inc.
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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 http://www.dsplog.com/2007/08/30/bit-error-rate-for-frequency-shift-keying-with-coherent-demodulation/ with a small Matlab code snippet. Using the definition provided in Sec 4.4.4 of [DIG-COMM-SKLAR]), in binary Frequency shift keying (BFSK), the bits 0′s and 1′s are represented by signals and having frequencies and respectively, i.e. , where is the energy , 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 probability of block diagram for binary frequency shift keying (FSK) can be as 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) probability of error (b) binary frequency shift keying (BFSK) is (uses orthogonal signaling) Figure: Orthogonal and antipodal signaling 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.