Found inside – Page 610... transmitted symbol vector, within which, sk is the kth symbol. • For each initially estimated symbol ˆs,initk, k ∈{1,2}, a candidate set ξk is created. Found inside – Page 90... is also optimal with respect to the total MSE between the transmitted symbol vector x and the estimated symbol vector ˆx, as we will see later. 3.2.3. Found inside – Page 702.6 , except that now we assume that its tap vector is known . ... What we would like to estimate now are the symbols { s ( ) ) } that are being transmitted ... Found inside – Page 44Therefore, the symbol vector has been detected correctly with the ML detection. ... The ZF filter and the estimated symbol vector are given by Wzf ... Found inside – Page 242... Detector The proposed blind channel estimation scheme for uplink channel in MIMO ... respectively; 5) Estimate the transmitted symbol vector ˆt by (21). Found inside – Page 200denotes expectation and Gy is the estimate of the transmitted vector. ... of each estimated symbol is canceled from the received signal vector y [18,19]. Found inside – Page 607If the sign of the Sato error (the real or the imaginary part independently) is the same as ... 2))T is the associated estimated transmitted symbol vector, ... Found inside – Page 128Section 2.3 and Chapter 4), respectively, to estimate the symbol vector sequence s[n] ∈ MK based on the observation vector sequence rc [χn] ∈ CRF and the ... Found insideHence, the zeroforcing estimate of the transmitted symbol x is given as Observe ... Thus, if MMSE denotes the estimated symbol vector, the MMSE receiver ... Found inside – Page 308... we get −2HT(y − Hx) = 0 Hence, the estimated symbol vector ˆx can be expressed in terms of the channel matrix H and received symbol y as ˆx = ) −1 ... Found inside – Page 260... G is a nulling matrix, Vn is a noise vector at each receive antennas, sn is a transmitted symbol vector, and ̃sn means an estimated symbol vector. Found inside – Page 157If the data stream is temporally uncoded , the ML receiver solves Ŝ = arg min || - - || ( 6.40 ) where ŝ is the estimated symbol vector . Found inside – Page 105The posterior probabilities of the coded symbol vectors are finally obtained as ... is limited to codes for which (approximate) symbol vector MAP decoding, ... Found inside – Page 479where x ∈ CN s×1 denotes the transmitsymbol vector, F ∈ CNt×Ns is the ... Hence, after processingby the receiver, the estimated symbol vector isgiven by ... Found insideq k The subcarrier vector generated for the kth subcarrier group q (l) The USSCH ... signalblock ŝ GA The estimated transmitted symbol vector detectedby the ... Found inside – Page 123This procedure is repeated until symbols from all transmit antennas are decoded ... jthlayer symbol that is the jth element of the estimated symbol vector. Found inside – Page 437Alternatively, known or estimated symbols can be used for initializing the ICA ... and zm the whitened data vector corresponding to the symbol vector b,,,. Found inside – Page 82where Xk,±1 is a set of vectors x of length b, such that xk = ±1, ... The soft symbol estimate ˆsi (one element of the vector ˆsi) is evaluated in the soft ... Found inside – Page 139Received noisy signal Correlators Observation vector Estimated symbols Recovered bit sequence 2m rm ( t ) = Sm ( t ) + n ( t ) 2m 1 b . dt 91 ( t ) Decision ... Found insideIn vertical SM, detection and estimation of the transmitted symbols is performed in a vector-by-vector basis, since each vector represents the layer of the ... Found inside – Page 106Recall in (4.3.11) that the transmitted symbol vector d is defined as d =[d']) do ... q(x)]". (4.D.1) Here, we denote d (n-1) as the estimated symbol vector ... Found inside – Page 498Section IV presents the proposed joint estimation algorithm based on PSO . ... The TS is sent every K data symbols . ... Joint Frequency Offsets and Channel Gains Estimation According to Eq . ( 2 ) , the received symbol vector Yk is Gaussian ... Found inside – Page 262With EquASIP, working on same configuration, the cycles required for one symbol vector estimation are 234. This results in a throughput of 0.5 Mega vectors ... Found inside – Page 503Then in symbol period 2, sensor 1 transmits {–s: (N),...,-s: (1)} and sensor 2 transmits {s, ... In the case, we could estimate symbol vector s(n) by (4). Found inside – Page 112... into a stream of complex symbol vectors and multiplies the symbol vectors ... receive combiner matrix to form estimated symbol vector The symbol vector ... Found inside – Page 164estimation for an SFH system is nontrivial in many aspects. ... where is the hop period (or dwell time), and the estimated symbol vector in the nth hop. Found inside – Page 108... or (5) is carried out to estimate the 2×1 initial symbol vector ˆs minˆs, ... For each initially estimated symbol ˆs,initk , k ∈{1,2}, a candidate set ... Found inside – Page 3895... RESPONSE FRTER SYMBOL INTERACTION COEFFICIENT GENERATOR 28 34 VECTOR GENERATOR SYMBOL LIBRARY VECTOR VECTOR GENERATOR 40 Ulu View 24 30 ESTIMATED SYMBOL ... Found inside – Page 312Thus, the estimated symbol vector can be written as m = Wz = m + WHn. (12.18) In relation to severely frequency-selective scenario, we define moderately ... Found inside – Page 995... and adapted to generate estimated symbols yielding a hard decision output ... 18 " REFERENCE PICTURE MOTION VECTOR S7 CONTROL MOTION VECTOR S8 ELEMENT ... Found inside – Page 258... symbols 2 _ r[i] _ 1 h h s n[E] _ ~ 2 "I (r[t+ 11*) I E' —ii'f) ' T (n[t+ 11*) — HST“ (5.63) I Estimated symbol vector after matched filtering . Found inside – Page 162Denote by Ns the total number of symbols of all users. Let l(i,j) denote the i, j element of L. The estimated symbol vector is obtained by the following ... Found inside – Page 205This requires coherent detection of the data symbols and necessitates ... Ideally, the transmit symbol vector xr is estimated by utilizing a Maximum ... Found inside – Page 25At the transmitter base station, the symbol vectors dk[n] of size B are spread with ... When the DS-CDMA codes are orthogonal, the estimated symbol vector ... Found inside – Page 20The ZF estimator and the estimated symbol vector are given by Wzf D H.HHH/1 (2.18) and Qszf D WH zf y D .HHH/ 1HHy D s C .HHH/1HHn; (2.19) respectively. Found inside – Page 1582 Signal Model Estimation of signal-to-noise ratio (SNR) at the receiver side after ... Instant received symbol vector, estimated received symbol vector and ... Found inside – Page 212Then the interference vector I0 can be estimated by the inverse matrix 1 ... In the following OFDM symbols, if the other users don't start to communicate ... Found inside – Page 5The impact of each estimated symbol celled from the received symbol vector so what does SIC roughly means. One is estimates from the vector x 12:22:32.4 ... Found inside – Page 194modulation symbols form a transmit symbol vector. ... on the constellation used at the transmitter, and in turn the coded bits transmitted are estimated. Found inside – Page 36(2.50) At the transmitter, by choosing P = V (assuming ideal feedback channel) and multiplying both sides with U", the estimated symbol vector can be ... Found inside – Page 400Thus, utilizing the MMSE detector, the resulting estimated symbol vector ˆs can be given by ˆs 1⁄4 À HHHþr2nÁÀ1HHy 1⁄4 AÀ1b ð2Þ I2K where A 1⁄4 HHHþr2n I2K ... Found inside – Page 248... denotes the estimated symbol vector indicating modulated symbol and/or active antennas, X being a set containing all possible transmitted vectors and . Found inside – Page 409Let the transmitted symbols from the three users be b, the estimated symbols be ˆb and the error vector ∈ where: b = [+1 +1 −1]T ˆb = [−1 +1 +1]T Thus ... Found inside – Page 2018The equalisation process defined in Fig.1 uses the information present in the observed channel output vector and the past detected symbol vector to produce a delayed estimate of the transmitted symbol . The three important structural ... Found inside – Page 360pilot OFDM symbols. The FFT output vector of the data OFDM symbols is compensated for by using the estimated channel fading gains. Found inside – Page 91Two algorithms are developed to estimate the symbol vector D(l) in the lih period from the received signals and the estimated channel models. Found inside – Page 156It is worth noticing that the covariance matrix of the estimated channel is close to the covariance matrix of the actual vector channel (Cl ) if either the ... Found inside – Page 321The most probable set of symbol vectors is estimated by applying the ... as the received symbol vector and hypersphere radius calculated as a Euclidean ... Found inside – Page 406The information symbols and normalized CFOs can be estimate by minimize the above ... (16) s6[+l,-l] Second, substitute the estimated symbol vector s^into ... Found inside – Page 749... of the estimated symbols. Moreover, in systems where bit-to-symbol vector alignment is not preserved, it is not possible to use symbol-level combining, ... Utilizing a Maximum... found inside – Page 44Therefore, the symbol vector has been detected correctly the... Each initially estimated symbol ˆs, initk, k ∈ { 1,2 }, a set! 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