| 1. |
- Eriksson, Håkan B., et al.
(författare)
-
A genie-aided detector with a probabilistic description of the side information
- 1995
-
Ingår i: Proceedings. - Piscataway, NJ : IEEE Communications Society. - 0780324536 ; , s. 332-
-
Konferensbidrag (refereegranskat)abstract
- Building on Forney's concept of the genie (1972), and introducing the idea of an explicit statistical description of the side information provided to the genie-aided detector, we develop a generic tool for derivation of lower bounds on the bit-error rate of any actual receiver. With this approach, the side information statistics become design parameters, which may be chosen to give the resulting bound a desired structure. To illustrate this, we choose statistics in order to obtain a special case: the lower bound derived by Mazo (1975). The statistical description of the side information makes the lower bounding a transparent application of Bayesian theory
|
|
| 2. |
- Koski, Timo
(författare)
-
Statistics of the binary quantizer error in single-loop sigma-delta modulation with white Gaussian input
- 1995
-
Ingår i: IEEE Transactions on Information Theory. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9448 .- 1557-9654. ; 41:4, s. 931-943
-
Tidskriftsartikel (refereegranskat)abstract
- Representations and statistical properties of the process e¯ defined by e¯n+1=λ(e¯n+ξn), are given. Here λ(u):=u-b·sign(u)+m and {ξn}n=0+∞ is Gaussian white noise. The process e¯ represents the binary quantizer error in a model for single-loop sigma-delta modulation. The innovations variables are found and the existence and uniqueness of an invariant probability measure, ergodicity properties, as well as the existence of the exponential moment with respect to the invariant probability are proved using Markov process theory. We consider also e¯ as a random perturbation, for small values of the variance of ξn, Of the orbits of sn+1=λ(sn). Here sn has the uniform invariant distribution on the interval [m-h, m+b]. Analytical approximations to the structure of the power spectrum of e¯ are obtained using a linear prediction in terms of the innovations variables and the perturbation approach
|
|
| 3. |
- Ödling, Per, et al.
(författare)
-
When are the MLSD respectively the matched filter receiver optimal with respect to the BER?
- 1995
-
Ingår i: Proceedings. - Piscataway, NJ : IEEE Communications Society. - 0780324536 ; , s. 331-, s. 331-331
-
Konferensbidrag (refereegranskat)abstract
- We reconsider the minimum/optimal bit-error probability receiver (OBER) for intersymbol interference channels with Gaussian noise and the reception of finite blocks of bits. We view the OBER as a function with two inputs: the received sequence and an expected signal-to-noise ratio; and one output: the estimated block of bits. Assuming that all sequences are equally probable to be transmitted we prove two results about the behaviour of the OBER. We show that the OBER coincides with the maximum likelihood sequence detector (MLSD) when designed for high signal-to-noise ratios and that it collapses to a matched filter followed by a hard-limiting device for low expected signal-to-noise ratios
|
|
