Signal Vector Space and Maximum Likelihood Detection II

This chapter reviews generation of a random data sequence received with additive white Gaussian noise (AWGN) and detects the data bits by maximum likelihood detection (MLD). MLD is performed on M-ary signal sequence received with AWGN, and the data bit sequence is detected in the M-ary signal sequence. If M-ary signals are expressed as a linear combination of N orthonormal basis functions. Each of the M-ary signals can be mapped into a point in the N-dimensional vector space, which is spanned by the N orthonormal basis functions. The communication concepts and algorithms are explained using simulation projects, accompanied by MATLAB and Simulink. The chapter provides step-by-step code exercises and instructions to implement execution sequences. It is designed to help teach and understand communication systems using a classroom-tested, active learning approach.