On phase correct blind deconvolution exploiting channel coding

Abstract

Abstract-In this paper we will derive an algorithm, which estimates the channel blindly exploiting the statistical dependencies of the transmitted signal caused by channel coding. An additional feature of this algorithm is that in contrast to most blind deconvolution algorithms phase correct estimates can be obtained. The error performance of the proposed algorithm depends on the characteristics of the channel code. If the code has appropriate properties, which is true for some convolutional codes as well as for several block codes, e.g. especially low-density parity check codes (LDPC), the proposed algorithm performs similarly or slightly better in comparison to higher order statics based algorithms.

Semidefinite Relaxation Based Blind Equalization using Constant Modulus Criterion

“…However, one special class of LDPC code with the asymmetry property can help to prevent such bad configurations. Its definition is stated in [24] and repeated here. Obviously, a code is asymmetric if an arbitrary parity check sum node includes an odd number of neighbors, that is, |N m | is odd for every m ∈ M. This observation is formalized in the following theorem [25].…”

“…One noticeable property of asymmetric LDPC code is that the negation of any valid codeword does not belong to the code [24], [25]. To take advantage of the code information, we will use the relaxed code constraints in real/complex domain [26].…”

Non-Coherent LDPC Decoding on Graphs

“…the sum-product algorithm [10]. Whereas in [11], [5], [12] the redundancy of the LDPC code was exploited to blindly (without the assistance of pilot symbols) identify the channel, in this paper we will present a noncoherent graph-based decoding algorithm delivering directly soft estimates of the transmitted data without estimating the channel phase explicitly.…”

On Phase Correct Blind Deconvolution of Flat MIMO Channels Exploiting Channel Encoding

“…However, code asymmetry does not necessarily involve symbol asymmetry. A similar approach for blind deconvolution of frequency selective SISO channels was suggested in [7]. This paper is organized as follows: In Section II the system model will be presented.…”