Effective Capacity of $L_p$ -Norm Diversity Receivers Over Generalized Fading Channels Under Adaptive Transmission Schemes

Abstract

This paper presents novel moment generating function (MGF)-and characteristic function (CHF)based frameworks for the EC performance analysis of a generic L p -norm diversity combining scheme under adaptive transmission policies. The considered system operates over generalized fading channels, a maximum delay constraint and under various channel state information (CSI) conditions. Depending upon the operational CSI, four policies are studied, namely: i) Constant power with optimal rate adaptation (ORA); ii) Optimal power and rate adaptation (OPRA); iii) Channel inversion with fixed rate (CIFR); and iv) Truncated CIFR (TIFR). The L p -norm diversity is a generic diversity structure which includes as special cases various well-known diversity schemes, such as equal gain combining (EGC), maximal ratio combining (MRC) and amplify-and-forward (AF) relaying. Under the ORA and OPRA policies, we derive single integral expressions for evaluating the EC of L p -norm diversity reception directly from the MGF or the incomplete MGF of the Signal-to-Noise-Ratio (SNR) at the receiver, respectively. For the EC performance evaluation of the EGC and AF relaying systems operating under the OPRA policy, a CHF-based approach which is computationally more efficient as compared to the MGF-based approach, is further presented. For the CIFR and TIFR policies, it is shown that the EC can be directly evaluated from the MGF or the CHF of the SNR at the receiver, respectively. Moreover, novel closed-form expressions for the EC performance under the ORA policy of dual branch L pnorm diversity receivers operating over Gamma shadowed generalized Nakagami-m fading channels are deduced. For this policy, a novel analytical approach for the asymptotic EC performance analysis is also Part of this work has been published in IEEE 87th Vehicular Technology Conference, 2018 (VTC Spring) [1].February 5, 2019 DRAFT 1 developed and evaluated, revealing how basic system parameters affect the overall system performance.The mathematical formalism is validated with selected numerical and equivalent simulation performance evaluation results, thus confirming the correctness of the proposed analytical methodology. Index TermsAmplify-and-forward transmission, delay constraints, diversity receivers, characteristic function, effective capacity, equal gain combining, fading channels, L p -norm combining, maximal ratio combining, moment generating function.Recently, EC performance studies have been carried out in connection with single-input singleoutput (SISO) systems, multiple-input single-output (MISO) systems with transmit maximal ratio combining (MRC) 1 and relaying systems employing the amplify-and-forward (AF) protocol, e.g. see [7]-[20]. Specifically, in [7], the EC of MISO systems assuming ORA policy and 1The SNR at the output of MISO receivers with transmit MRC is essentially the same as that obtained when MRC is employed in single-input multiple-out (SIMO) systems (divided by a factor equal to the number of transmitting antennas) and as such they will have t...

Exact analysis of two‐branch SC receiver over α$$ \alpha $$‐κ$$ \kappa $$‐μ$$ \mu $$ fading

“…have drawn enormous attention to the analysis of wireless systems in. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] The higher order statistical measures of 𝛼-𝜂-𝜅-𝜇 statistical distribution are got in. 1 Authors in, 2 presented expressions for cumulative distribution function (CDF), moment generating function (MGF), average channel capacity (ACC), and average bit error rate (ABER) for 𝛼-𝜂-𝜇 faded propagation medium.…”

“…In, 17 the OP, ABER, and ACC for a two-branch SC receiver for 𝛼-𝜅-𝜇 faded channels are studied, however, the derived ABER expression is not exact and generalized ABER and also the derived EC expression is not valid for non-integer 𝜇. In, 18 authors have studied capacity L p -norm diversity combining receivers in generalized fading channels.…”

Μαθηματικές Μέθοδοι Αξιολόγησης Επίδοσης Ασύρματων Δικτύων Νέας Γενιάς Με Αναμεταδότες

“…Στην[67] ο συγγραφέας μελετά την Ef C σε κανάλια με πολλαπλούς αναμεταδότες, τα οποία χρησιμοποιούν πρωτόκολλο ενίσχυσης και προώθησης και λειτουργούν υπό την επίδραση γενικευμένων και συσχετισμένων καναλιών διαλείψεων. Τέλος στην[5] μελετήθηκε σε σύστημα δεκτών διαφορισμού, ο SN R εξόδου, των οποίων είναι, η L p τάξης, νόρμα των SN R στην είσοδο του δέκτη. Το συγκεκριμένο σύστημα λειτουργεί υπό την επίδραση γενικευμένων καναλιών διαλείψεων και χρησιμοποιεί προσαρμοσμένες τεχνικές μετάδοσης.Στην παρούσα διατριβή, ως εφαρμογή της παραπάνω μεθοδολογίας, προτείνονται σχέσεις που περιγράφουν τις Ef C και EC, δύο διαφορετικών συστημάτων.…”