Performance Analysis of BPSK over Joint Fading and Two-Path Shadowing Channels

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IEEE VTC-Fall 2014, Vancouver, Sept. 14-17, 2014 IqIq Performance of BPSK over Joint Fading and Two-Path Shadowing Channels I. Dey and G. G. Messier Electrical and Computer Engineering University of Calgary, Canada Email: {deyi, gmessier}@ucalgary.ca S. Magierowski Electrical Engineering and Computer Science York University, Ontario, Canada Email: magiero@cse.yorku.ca September 10, 2014 Slide 1/12

IqIq Indoor Wireless Communication A very complicated phenomenon Model for combined small and large scale channel effects Existing Models : Land Mobile Satellite/Macrocellular channels Rx 1 Suzuki Model 2 Rice/Nakagami-Lognormal Model Local Scattering Tx Reflector Slide 2/12

IqIq In Indoor Wireless Environments, Not enough large obstacles Most WLAN standards are incapable of handling hand-offs User movement restricted within a small area Need to Model : Open office or laboratory Rx Local Scattering Solution : Joint Fading and Two-path Shadowing (JFTS) Model Tx Reflector Slide 3/12

(Contd.) IqIq PDF of JFTS distribution : K Fading parameter (units in db) S h Shadowing parameter (units in db) Shape parameter PDF Value 0.5 0.4 0.3 0.2 K = 5, S h = 5 K = 10, S h = 10 K = 5, S h = 10 0.5 0.4 0.3 0.2 K = 5, S h = 10 K = 10, S h = 5 K = 5, S h = 5 0.1 = 0.2 0.1 = 0.4 0 0 0 5 10 0 5 10 Envelope Value Open Problems : Performance Slide 4/12

Our IqIq Expression for PDF of instantaneous received SNR over a JFTS channel Expression for nth order Moment Generating Function (MGF) of instantaneous SNR Expression for generalized BER of coherent BPSK without Forward Error Correction (FEC) coding Simulation of ABER performance of coherent BPSK with and without FEC coding Slide 5/12

Simulation IqIq Evaluated over a SISO system Coherent BPSK modulation at the transmitter Perfect CSI at the receiver Averaged over 100 independent random channel realizations FEC with Convolutional Coding (CC) and Hamming Coding (HC) Hard-Decision Decoding (HDD) / Soft-Decision Decoding (SDD) Slide 6/12

IqIq Effect of K-parameter ABER K = 2, 5, 8, 10 db 0 5 10 15 20 25 Average SNR per bit Figure: JFTS setting, S h = 2 db and = 0.3, Lines : Analytical, Marker : Simulation Slide 7/12

IqIq Effect of K-parameter ABER 10 0 10 0 K = 5 db K = 8 db Uncoded HC/HD CC/VD Uncoded CC/VD HC/HD 0 5 10 15 20 0 5 10 15 20 Average SNR per bit Figure: JFTS setting, S h = 2 db and = 0.3, FEC with HDD Slide 8/12

IqIq Effect of S h -parameter ABER S h = 9, 5, 1, 5 dbs 0 5 10 15 Average SNR per bit 20 25 Figure: JFTS setting, K = 6 db and = 0.8, Lines : Analytical, Marker : Simulation Slide 9/12

IqIq Effect of S h -parameter ABER 10 0 10 0 S h = 1 db S h = 9 db Uncoded HC/HD CC/VD Uncoded HC/HD CC/VD 0 5 10 15 20 0 5 10 15 20 Average SNR per bit Figure: JFTS setting, K = 6 db and = 0.8, FEC with SDD Slide 10/12

IqIq Comparison between HDD and SDD 10 0 10 0 ABER HDD CC/VD Uncoded HDD HC/HD Uncoded SDD SDD 0 5 10 15 20 25 0 5 10 15 20 25 Average SNR per bit Figure: JFTS setting, K = 5 db, S h = 5 db, = 0.3 Slide 11/12

Summary IqIq This paper has derived expressions for the generalized BER of coherent BPSK over JFTS faded/shadowed channels. The analytical result is found to agree with the simulation results. Performance degrades as K and S h decreases. With FEC, CC with VD offers a 3 db improvement in performance over HC with HD. SDD offers an extra 3 db improvement in performance over HDD. Slide 12/12